11-07-2013, 01:33 AM #21 DogCatMom Knitting the Flap   Join Date: May 2011 Location: S.F. Bay Area Posts: 376 Thanks: 79 Thanked 135 Times in 106 Posts 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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11-07-2013, 01:34 AM   #22
DogCatMom
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 Originally Posted by Caters 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.

 11-07-2013, 01:49 AM #23 Caters Ribbing the Cuff     Join Date: Nov 2013 Posts: 90 Thanks: 1 Thanked 8 Times in 7 Posts 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?
 11-11-2013, 04:01 AM #24 Caters Ribbing the Cuff     Join Date: Nov 2013 Posts: 90 Thanks: 1 Thanked 8 Times in 7 Posts 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.
11-12-2013, 12:51 AM   #25
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 Originally Posted by DogCatMom 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.

 11-13-2013, 05:50 PM #26 Caters Ribbing the Cuff     Join Date: Nov 2013 Posts: 90 Thanks: 1 Thanked 8 Times in 7 Posts why aren't you guys replying?
 11-13-2013, 06:50 PM #27 salmonmac Moderator Mod Squad   Join Date: Dec 2010 Location: Maryland Posts: 7,693 Thanks: 574 Thanked 3,110 Times in 2,825 Posts 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. __________________ Knitting Help Videos Here!-
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11-14-2013, 11:52 PM   #28
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 Originally Posted by Caters 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.

11-15-2013, 02:59 AM   #29
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 Originally Posted by Caters 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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 11-15-2013, 07:09 AM #30 salmonmac Moderator Mod Squad   Join Date: Dec 2010 Location: Maryland Posts: 7,693 Thanks: 574 Thanked 3,110 Times in 2,825 Posts 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. __________________ Knitting Help Videos Here!-
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