Factors of 12907,12910 and 12912
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Solution Factors are numbers that can divide without remainder. Factors of 12907 12907/1 = 12907 gives remainder 0 and so are divisible by 112907/12907 = 1 gives remainder 0 and so are divisible by 12907 Factors of 12910 12910/1 = 12910 gives remainder 0 and so are divisible by 112910/2 = 6455 gives remainder 0 and so are divisible by 2 12910/5 = 2582 gives remainder 0 and so are divisible by 5 12910/10 = 1291 gives remainder 0 and so are divisible by 10 12910/1291 = 10 gives remainder 0 and so are divisible by 1291 12910/2582 = 5 gives remainder 0 and so are divisible by 2582 12910/6455 = 2 gives remainder 0 and so are divisible by 6455 12910/12910 = 1 gives remainder 0 and so are divisible by 12910 Factors of 12912 12912/1 = 12912 gives remainder 0 and so are divisible by 112912/2 = 6456 gives remainder 0 and so are divisible by 2 12912/3 = 4304 gives remainder 0 and so are divisible by 3 12912/4 = 3228 gives remainder 0 and so are divisible by 4 12912/6 = 2152 gives remainder 0 and so are divisible by 6 12912/8 = 1614 gives remainder 0 and so are divisible by 8 12912/12 = 1076 gives remainder 0 and so are divisible by 12 12912/16 = 807 gives remainder 0 and so are divisible by 16 12912/24 = 538 gives remainder 0 and so are divisible by 24 12912/48 = 269 gives remainder 0 and so are divisible by 48 12912/269 = 48 gives remainder 0 and so are divisible by 269 12912/538 = 24 gives remainder 0 and so are divisible by 538 12912/807 = 16 gives remainder 0 and so are divisible by 807 12912/1076 = 12 gives remainder 0 and so are divisible by 1076 12912/1614 = 8 gives remainder 0 and so are divisible by 1614 12912/2152 = 6 gives remainder 0 and so are divisible by 2152 12912/3228 = 4 gives remainder 0 and so are divisible by 3228 12912/4304 = 3 gives remainder 0 and so are divisible by 4304 12912/6456 = 2 gives remainder 0 and so are divisible by 6456 12912/12912 = 1 gives remainder 0 and so are divisible by 12912 |
Converting to factors of 12907,12910,12912
We get factors of 12907,12910,12912 numbers by finding numbers that can be multiplied together to equal the target number being converted.
This means numbers that can divide 12907,12910,12912 without remainders. So first number to consider is 1 and 12907,12910,12912
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.