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Old 11-07-2013, 01:33 AM   #21
DogCatMom
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Working with the prime factors *gives* you all the factors.

72 = 2 x 2 x 2 x 3 x 3
thus, all the possible factors of 72 are:
2 x 2 = 4
2 x 2 x 2 = 8
2 x 2 x 2 x 3 = 24
2 x 3 = 6
2 x 3 x 3 = 18
2 x 2 x 3 = 12
3 x 3 = 9
2 x 2 x 3 x 3 = 36
as well as 2 and 3 themselves.
Here they are, pairwise, in case this helps:
2 x 36
3 x 24
4 x 18
8 x 9

Here's the same break-out for 98:
98 = 2 x 7 x 7
2 x 7 = 14
7 x 7 = 49
as well as 2 and 7 themselves.
Pairwise factors are
2 x 49 and
7 x 7
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Old 11-07-2013, 01:34 AM   #22
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Originally Posted by Caters View Post
Yes but I want all the factors of 72 and 98 not just prime factors
Forgot to apologize for not giving you *all* the factors. Primes will give you all the factors and help ensure that none are inadvertently omitted.
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Old 11-07-2013, 01:49 AM   #23
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how would the prime factorization of a number give me all the factors and not just prime factors? does it have to do with multiplying the primes in certain orders because I don't see how you would get something like 49 or 36 or 24 from 72's and 98's prime factorization?
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Old 11-11-2013, 04:01 AM   #24
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Row Counts: Which ones will work
I have narrowed the cables other than the cathedral cable down to where there is no lace in the cables. Now I want to narrow it down even further so that I can avoid using garter if at all possible. Here is the list of cables I found and their row counts. Could somebody do the math and figure out which ones will fit in 98 rows exactly? Here are the cables:
Single Medallion Cable 24 rows
Ensign's Braid 24 rows
Cables In Cables 24 rows
Cabled Rib 22 rows
Banana Tree 12 rows
Diamond with Moss 32 rows
Ribbed Cable 48 rows
Pagoda 38 rows
Cable Motif 22 rows
Loose Five-Rib Braid 8 rows
Elongated Five-Rib Braid 10 rows
Rope and Diamond 28 rows
Framed Cable 16 rows
Crazy Maypole 28 rows
Double Hourglass 1(don't confuse this 1 with the 1 in the 16) 16 rows
Plaid Lattice 24 rows
Eight-Stitch Ten-Row Cable with Right-Twist 10 rows
Eight-Stitch Ten-Row Cable with Left-Twist 10 rows
Double Cable 8 rows
Reverse Double Cable 8 rows
Chain Cable 8 rows
Elongated Chain Cable 12 rows
Round Cable 12 rows
Oxox 16 rows
Figure-Eight Cable 28 rows
Fast-Traveling Rib 24 rows
Crossed Cable 8 rows
Wavy Braid 16 rows
Moss Stitch Cable 20 rows
Cable's Out of the Bag 24 rows
Staggering Cables 14 rows
Aran Braid 4 rows
Banjo Cable 16 rows
Dollar Cable 10 rows
Seed Wishbone 8 rows
Sausage Cable 20 rows
Elliptical Cable 10 rows
Slack Line 40 rows
Riptide Wave 28 rows
Lorgnette Cable 40 rows
Sand 3(don't confuse this 3 with 38) 8 rows
Columns and Twists 14 rows
Alternating Wedges 2(don't confuse 2 with 212) 12 rows
Honeycomb Cable 1(don't confuse 1 with 18) 8 rows
Tudor Grillwork 20 rows
Irregular Braid 8 rows
Cherry Blossom 4 rows
Coin Cable 6 rows
Twisted Tree 8 rows
Lover's Knot 20 rows
Chalice 9 rows
Four-Stitch Four-Row Cable with Right-Twist 4 rows
Four-Stitch Four-Row Cable with Left-Twist 4 rows
Elongated Wave Cable 16 rows
Wave of Honey Cable 4 rows
Aran Honeycomb 8 rows
Elongated Aran Honeycomb 12 rows
Textured Rib 12 rows
Ears of Corn 6 rows
Honeycomb 1(don't confuse 1 with 18) 8 rows
Crisscross 8 rows
Cable Ribbing 4 rows
Slalom 12 rows
So can anybody help me figure out which cables will work without garter and if I can avoid the garter if I do 1 cable per block and I never use a specific cable more than once? also I think I will do 30 blocks. Will I be able to avoid garter?

Last edited by Caters : 11-11-2013 at 04:44 PM.
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Old 11-12-2013, 12:51 AM   #25
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Originally Posted by DogCatMom View Post
The prime factorizations of the two numbers are:

72 = 2 x 2 x 2 x 3 x 3 (sorry; can't use exponents in phpbb text-based language). This can also be expressed as 8 x 9, to help visualization.

98 = 2 x 7 x 7. Alternate expression: 2 x 49.

The only common factor, then, that 72 and 98 have in common is 2. Too bad you're not looking for factors in common for 72 and 96....that would be wonderful!
you can use a caret ^ by pressing shift 6 and then type the power and people will understand that you are meaning x to the y power.
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Old 11-13-2013, 05:50 PM   #26
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why aren't you guys replying?
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Old 11-13-2013, 06:50 PM   #27
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Hi Caters, It's possible that everyone has given you the best advice that they can at this point. Then too, some of these decisions about pattern are really up to you.
Be patient, there may yet be others who will join the discussion.
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Old 11-14-2013, 11:52 PM   #28
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Originally Posted by Caters View Post
I have narrowed the cables other than the cathedral cable down to where there is no lace in the cables. Now I want to narrow it down even further so that I can avoid using garter if at all possible. Here is the list of cables I found and their row counts. Could somebody do the math and figure out which ones will fit in 98 rows exactly? Here are the cables:
Single Medallion Cable 24 rows
Ensign's Braid 24 rows
Cables In Cables 24 rows
Cabled Rib 22 rows
Banana Tree 12 rows
Diamond with Moss 32 rows
Ribbed Cable 48 rows
Pagoda 38 rows
Cable Motif 22 rows
Loose Five-Rib Braid 8 rows
Elongated Five-Rib Braid 10 rows
Rope and Diamond 28 rows
Framed Cable 16 rows
Crazy Maypole 28 rows
Double Hourglass 1(don't confuse this 1 with the 1 in the 16) 16 rows
Plaid Lattice 24 rows
Eight-Stitch Ten-Row Cable with Right-Twist 10 rows
Eight-Stitch Ten-Row Cable with Left-Twist 10 rows
Double Cable 8 rows
Reverse Double Cable 8 rows
Chain Cable 8 rows
Elongated Chain Cable 12 rows
Round Cable 12 rows
Oxox 16 rows
Figure-Eight Cable 28 rows
Fast-Traveling Rib 24 rows
Crossed Cable 8 rows
Wavy Braid 16 rows
Moss Stitch Cable 20 rows
Cable's Out of the Bag 24 rows
Staggering Cables 14 rows
Aran Braid 4 rows
Banjo Cable 16 rows
Dollar Cable 10 rows
Seed Wishbone 8 rows
Sausage Cable 20 rows
Elliptical Cable 10 rows
Slack Line 40 rows
Riptide Wave 28 rows
Lorgnette Cable 40 rows
Sand 3(don't confuse this 3 with 38) 8 rows
Columns and Twists 14 rows
Alternating Wedges 2(don't confuse 2 with 212) 12 rows
Honeycomb Cable 1(don't confuse 1 with 18) 8 rows
Tudor Grillwork 20 rows
Irregular Braid 8 rows
Cherry Blossom 4 rows
Coin Cable 6 rows
Twisted Tree 8 rows
Lover's Knot 20 rows
Chalice 9 rows
Four-Stitch Four-Row Cable with Right-Twist 4 rows
Four-Stitch Four-Row Cable with Left-Twist 4 rows
Elongated Wave Cable 16 rows
Wave of Honey Cable 4 rows
Aran Honeycomb 8 rows
Elongated Aran Honeycomb 12 rows
Textured Rib 12 rows
Ears of Corn 6 rows
Honeycomb 1(don't confuse 1 with 18) 8 rows
Crisscross 8 rows
Cable Ribbing 4 rows
Slalom 12 rows
So can anybody help me figure out which cables will work without garter and if I can avoid the garter if I do 1 cable per block and I never use a specific cable more than once? also I think I will do 30 blocks. Will I be able to avoid garter?
Turns out I won't be. That is sad because I wanted to avoid garter as much as possible. only 3 cables including the cathedral cable will not have garter. Okay. How should I distribute the garter if there is an odd number of rows? should I put 1 row on the bottom? up top? I will be able to not have garter at the sides which is a good thing.
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Old 11-15-2013, 02:59 AM   #29
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Originally Posted by Caters View Post
Turns out I won't be. That is sad because I wanted to avoid garter as much as possible. only 3 cables including the cathedral cable will not have garter. Okay. How should I distribute the garter if there is an odd number of rows? should I put 1 row on the bottom? up top? I will be able to not have garter at the sides which is a good thing.
"Avoid garter" meaning what?

Garter stitch borders on the edges of the blanket? (I see you're happy about that one)
Garter stitch borders around the cable squares?
What looks like garter stitch in the cable patterns to set off the cables visually is often reverse stockinette.

If you have squares you can alternate those with (A) and without (B) in an ABABAB pattern on odd rows, and a BABABA on the even rows.

So much of "knitting" is really accomplished in the planning stage of a project, choosing the pattern, yarn, colors, and design elements to include or exclude. Swatching can help with this. Most of this is done before you start, and some of it is foist upon you as you work. The only sure thing is that the more of this that gets done before you start, the more time you get to spend knitting once you start knitting.
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Old 11-15-2013, 07:09 AM   #30
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You could also try stitches other than garter st to transition between blocks or as a border at top and bottom. You might like seed st or some of its variations. You may also find when you finish the blanket that a border at the sides will help pull the look together and be a good finish but you can always decide that at the end.
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