Factors of 877,880 and 882
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Solution Factors are numbers that can divide without remainder. Factors of 877 877/1 = 877 gives remainder 0 and so are divisible by 1877/877 = 1 gives remainder 0 and so are divisible by 877 Factors of 880 880/1 = 880 gives remainder 0 and so are divisible by 1880/2 = 440 gives remainder 0 and so are divisible by 2 880/4 = 220 gives remainder 0 and so are divisible by 4 880/5 = 176 gives remainder 0 and so are divisible by 5 880/8 = 110 gives remainder 0 and so are divisible by 8 880/10 = 88 gives remainder 0 and so are divisible by 10 880/11 = 80 gives remainder 0 and so are divisible by 11 880/16 = 55 gives remainder 0 and so are divisible by 16 880/20 = 44 gives remainder 0 and so are divisible by 20 880/22 = 40 gives remainder 0 and so are divisible by 22 880/40 = 22 gives remainder 0 and so are divisible by 40 880/44 = 20 gives remainder 0 and so are divisible by 44 880/55 = 16 gives remainder 0 and so are divisible by 55 880/80 = 11 gives remainder 0 and so are divisible by 80 880/88 = 10 gives remainder 0 and so are divisible by 88 880/110 = 8 gives remainder 0 and so are divisible by 110 880/176 = 5 gives remainder 0 and so are divisible by 176 880/220 = 4 gives remainder 0 and so are divisible by 220 880/440 = 2 gives remainder 0 and so are divisible by 440 880/880 = 1 gives remainder 0 and so are divisible by 880 Factors of 882 882/1 = 882 gives remainder 0 and so are divisible by 1882/2 = 441 gives remainder 0 and so are divisible by 2 882/3 = 294 gives remainder 0 and so are divisible by 3 882/6 = 147 gives remainder 0 and so are divisible by 6 882/7 = 126 gives remainder 0 and so are divisible by 7 882/9 = 98 gives remainder 0 and so are divisible by 9 882/14 = 63 gives remainder 0 and so are divisible by 14 882/18 = 49 gives remainder 0 and so are divisible by 18 882/21 = 42 gives remainder 0 and so are divisible by 21 882/42 = 21 gives remainder 0 and so are divisible by 42 882/49 = 18 gives remainder 0 and so are divisible by 49 882/63 = 14 gives remainder 0 and so are divisible by 63 882/98 = 9 gives remainder 0 and so are divisible by 98 882/126 = 7 gives remainder 0 and so are divisible by 126 882/147 = 6 gives remainder 0 and so are divisible by 147 882/294 = 3 gives remainder 0 and so are divisible by 294 882/441 = 2 gives remainder 0 and so are divisible by 441 882/882 = 1 gives remainder 0 and so are divisible by 882 |
Converting to factors of 877,880,882
We get factors of 877,880,882 numbers by finding numbers that can be multiplied together to equal the target number being converted.
This means numbers that can divide 877,880,882 without remainders. So first number to consider is 1 and 877,880,882
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.