Factors of 12919,12922 and 12924
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Solution Factors are numbers that can divide without remainder. Factors of 12919 12919/1 = 12919 gives remainder 0 and so are divisible by 112919/12919 = 1 gives remainder 0 and so are divisible by 12919 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 Factors of 12924 12924/1 = 12924 gives remainder 0 and so are divisible by 112924/2 = 6462 gives remainder 0 and so are divisible by 2 12924/3 = 4308 gives remainder 0 and so are divisible by 3 12924/4 = 3231 gives remainder 0 and so are divisible by 4 12924/6 = 2154 gives remainder 0 and so are divisible by 6 12924/9 = 1436 gives remainder 0 and so are divisible by 9 12924/12 = 1077 gives remainder 0 and so are divisible by 12 12924/18 = 718 gives remainder 0 and so are divisible by 18 12924/36 = 359 gives remainder 0 and so are divisible by 36 12924/359 = 36 gives remainder 0 and so are divisible by 359 12924/718 = 18 gives remainder 0 and so are divisible by 718 12924/1077 = 12 gives remainder 0 and so are divisible by 1077 12924/1436 = 9 gives remainder 0 and so are divisible by 1436 12924/2154 = 6 gives remainder 0 and so are divisible by 2154 12924/3231 = 4 gives remainder 0 and so are divisible by 3231 12924/4308 = 3 gives remainder 0 and so are divisible by 4308 12924/6462 = 2 gives remainder 0 and so are divisible by 6462 12924/12924 = 1 gives remainder 0 and so are divisible by 12924 |
Converting to factors of 12919,12922,12924
We get factors of 12919,12922,12924 numbers by finding numbers that can be multiplied together to equal the target number being converted.
This means numbers that can divide 12919,12922,12924 without remainders. So first number to consider is 1 and 12919,12922,12924
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.