Factors of 12920 and 12922
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Solution Factors are numbers that can divide without remainder. Factors of 12920 12920/1 = 12920 gives remainder 0 and so are divisible by 112920/2 = 6460 gives remainder 0 and so are divisible by 2 12920/4 = 3230 gives remainder 0 and so are divisible by 4 12920/5 = 2584 gives remainder 0 and so are divisible by 5 12920/8 = 1615 gives remainder 0 and so are divisible by 8 12920/10 = 1292 gives remainder 0 and so are divisible by 10 12920/17 = 760 gives remainder 0 and so are divisible by 17 12920/19 = 680 gives remainder 0 and so are divisible by 19 12920/20 = 646 gives remainder 0 and so are divisible by 20 12920/34 = 380 gives remainder 0 and so are divisible by 34 12920/38 = 340 gives remainder 0 and so are divisible by 38 12920/40 = 323 gives remainder 0 and so are divisible by 40 12920/68 = 190 gives remainder 0 and so are divisible by 68 12920/76 = 170 gives remainder 0 and so are divisible by 76 12920/85 = 152 gives remainder 0 and so are divisible by 85 12920/95 = 136 gives remainder 0 and so are divisible by 95 12920/136 = 95 gives remainder 0 and so are divisible by 136 12920/152 = 85 gives remainder 0 and so are divisible by 152 12920/170 = 76 gives remainder 0 and so are divisible by 170 12920/190 = 68 gives remainder 0 and so are divisible by 190 12920/323 = 40 gives remainder 0 and so are divisible by 323 12920/340 = 38 gives remainder 0 and so are divisible by 340 12920/380 = 34 gives remainder 0 and so are divisible by 380 12920/646 = 20 gives remainder 0 and so are divisible by 646 12920/680 = 19 gives remainder 0 and so are divisible by 680 12920/760 = 17 gives remainder 0 and so are divisible by 760 12920/1292 = 10 gives remainder 0 and so are divisible by 1292 12920/1615 = 8 gives remainder 0 and so are divisible by 1615 12920/2584 = 5 gives remainder 0 and so are divisible by 2584 12920/3230 = 4 gives remainder 0 and so are divisible by 3230 12920/6460 = 2 gives remainder 0 and so are divisible by 6460 12920/12920 = 1 gives remainder 0 and so are divisible by 12920 Factors of 12922 12922/1 = 12922 gives remainder 0 and so are divisible by 112922/2 = 6461 gives remainder 0 and so are divisible by 2 12922/7 = 1846 gives remainder 0 and so are divisible by 7 12922/13 = 994 gives remainder 0 and so are divisible by 13 12922/14 = 923 gives remainder 0 and so are divisible by 14 12922/26 = 497 gives remainder 0 and so are divisible by 26 12922/71 = 182 gives remainder 0 and so are divisible by 71 12922/91 = 142 gives remainder 0 and so are divisible by 91 12922/142 = 91 gives remainder 0 and so are divisible by 142 12922/182 = 71 gives remainder 0 and so are divisible by 182 12922/497 = 26 gives remainder 0 and so are divisible by 497 12922/923 = 14 gives remainder 0 and so are divisible by 923 12922/994 = 13 gives remainder 0 and so are divisible by 994 12922/1846 = 7 gives remainder 0 and so are divisible by 1846 12922/6461 = 2 gives remainder 0 and so are divisible by 6461 12922/12922 = 1 gives remainder 0 and so are divisible by 12922 |
Converting to factors of 12920,12922
We get factors of 12920,12922 numbers by finding numbers that can be multiplied together to equal the target number being converted.
This means numbers that can divide 12920,12922 without remainders. So first number to consider is 1 and 12920,12922
Getting factors is done by diving the number with numbers lower to it in value to find the one that will not leave remainder. Numbers that divide without remainders are the factors.
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Other number conversions to consider
Factors are the numbers you multiply to get another number. For instance, the factors of 25 are 5 and 5, because 5×5 = 25. Some numbers have more than one factorization (more than one way of being factored). For instance, 12 can be factored as 1×12, 2×6, or 3×4. A number that can only be factored as 1 times itself is called "prime". The first few primes are 2, 3, 5, 7, 11, and 13. The number 1 is not regarded as a prime, and is usually not included in factorizations, because 1 goes into everything. (The number 1 is a bit boring in this context, so it gets ignored.
By the way, there are some divisibility rules that can help you find the numbers to divide by. There are many divisibility rules, but the simplest to use are these: If the number is even, then it's divisible by 2. If the number's digits sum to a number that's divisible by 3, then the number itself is divisible by 3. If the number ends with a 0 or a 5, then it's divisible by 5.
Of course, if the number is divisible twice by 2, then it's divisible by 4; if it's divisible by 2 and by 3, then it's divisible by 6; and if it's divisible twice by 3 (or if the sum of the digits is divisible by 9), then it's divisible by 9. But since you're finding the factorization, you don't really care about these non-prime divisibility rules. There is a rule for divisibility by 7, but it's complicated enough that it's probably easier to just do the division on your calculator and see if it comes out even.
If you run out of small numbers and you are not done factoring, then keep trying bigger and bigger whole numbers (9, 14, 17, 20, 23, etc) until you find number that can divide without remainder. For example, 13 is a factor of 52 because 13 divides exactly into 52 (52 ÷ 13 = 4 leaving no remainder). The complete list of factors of 52 is: 1, 2, 4, 13, 26, and 52 (all these divide exactly into 52). If your number doesn't divide in, then the only potential divisors are bigger numbers. Since the square of your number is bigger than the number.