Factors of 6987,6990 and 6992
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Solution Factors are numbers that can divide without remainder. Factors of 6987 6987/1 = 6987 gives remainder 0 and so are divisible by 16987/3 = 2329 gives remainder 0 and so are divisible by 3 6987/17 = 411 gives remainder 0 and so are divisible by 17 6987/51 = 137 gives remainder 0 and so are divisible by 51 6987/137 = 51 gives remainder 0 and so are divisible by 137 6987/411 = 17 gives remainder 0 and so are divisible by 411 6987/2329 = 3 gives remainder 0 and so are divisible by 2329 6987/6987 = 1 gives remainder 0 and so are divisible by 6987 Factors of 6990 6990/1 = 6990 gives remainder 0 and so are divisible by 16990/2 = 3495 gives remainder 0 and so are divisible by 2 6990/3 = 2330 gives remainder 0 and so are divisible by 3 6990/5 = 1398 gives remainder 0 and so are divisible by 5 6990/6 = 1165 gives remainder 0 and so are divisible by 6 6990/10 = 699 gives remainder 0 and so are divisible by 10 6990/15 = 466 gives remainder 0 and so are divisible by 15 6990/30 = 233 gives remainder 0 and so are divisible by 30 6990/233 = 30 gives remainder 0 and so are divisible by 233 6990/466 = 15 gives remainder 0 and so are divisible by 466 6990/699 = 10 gives remainder 0 and so are divisible by 699 6990/1165 = 6 gives remainder 0 and so are divisible by 1165 6990/1398 = 5 gives remainder 0 and so are divisible by 1398 6990/2330 = 3 gives remainder 0 and so are divisible by 2330 6990/3495 = 2 gives remainder 0 and so are divisible by 3495 6990/6990 = 1 gives remainder 0 and so are divisible by 6990 Factors of 6992 6992/1 = 6992 gives remainder 0 and so are divisible by 16992/2 = 3496 gives remainder 0 and so are divisible by 2 6992/4 = 1748 gives remainder 0 and so are divisible by 4 6992/8 = 874 gives remainder 0 and so are divisible by 8 6992/16 = 437 gives remainder 0 and so are divisible by 16 6992/19 = 368 gives remainder 0 and so are divisible by 19 6992/23 = 304 gives remainder 0 and so are divisible by 23 6992/38 = 184 gives remainder 0 and so are divisible by 38 6992/46 = 152 gives remainder 0 and so are divisible by 46 6992/76 = 92 gives remainder 0 and so are divisible by 76 6992/92 = 76 gives remainder 0 and so are divisible by 92 6992/152 = 46 gives remainder 0 and so are divisible by 152 6992/184 = 38 gives remainder 0 and so are divisible by 184 6992/304 = 23 gives remainder 0 and so are divisible by 304 6992/368 = 19 gives remainder 0 and so are divisible by 368 6992/437 = 16 gives remainder 0 and so are divisible by 437 6992/874 = 8 gives remainder 0 and so are divisible by 874 6992/1748 = 4 gives remainder 0 and so are divisible by 1748 6992/3496 = 2 gives remainder 0 and so are divisible by 3496 6992/6992 = 1 gives remainder 0 and so are divisible by 6992 |
Converting to factors of 6987,6990,6992
We get factors of 6987,6990,6992 numbers by finding numbers that can be multiplied together to equal the target number being converted.
This means numbers that can divide 6987,6990,6992 without remainders. So first number to consider is 1 and 6987,6990,6992
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.