Factors of 108120 and 108122
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Solution Factors are numbers that can divide without remainder. Factors of 108120 108120/1 = 108120 gives remainder 0 and so are divisible by 1108120/2 = 54060 gives remainder 0 and so are divisible by 2 108120/3 = 36040 gives remainder 0 and so are divisible by 3 108120/4 = 27030 gives remainder 0 and so are divisible by 4 108120/5 = 21624 gives remainder 0 and so are divisible by 5 108120/6 = 18020 gives remainder 0 and so are divisible by 6 108120/8 = 13515 gives remainder 0 and so are divisible by 8 108120/10 = 10812 gives remainder 0 and so are divisible by 10 108120/12 = 9010 gives remainder 0 and so are divisible by 12 108120/15 = 7208 gives remainder 0 and so are divisible by 15 108120/17 = 6360 gives remainder 0 and so are divisible by 17 108120/20 = 5406 gives remainder 0 and so are divisible by 20 108120/24 = 4505 gives remainder 0 and so are divisible by 24 108120/30 = 3604 gives remainder 0 and so are divisible by 30 108120/34 = 3180 gives remainder 0 and so are divisible by 34 108120/40 = 2703 gives remainder 0 and so are divisible by 40 108120/51 = 2120 gives remainder 0 and so are divisible by 51 108120/53 = 2040 gives remainder 0 and so are divisible by 53 108120/60 = 1802 gives remainder 0 and so are divisible by 60 108120/68 = 1590 gives remainder 0 and so are divisible by 68 108120/85 = 1272 gives remainder 0 and so are divisible by 85 108120/102 = 1060 gives remainder 0 and so are divisible by 102 108120/106 = 1020 gives remainder 0 and so are divisible by 106 108120/120 = 901 gives remainder 0 and so are divisible by 120 108120/136 = 795 gives remainder 0 and so are divisible by 136 108120/159 = 680 gives remainder 0 and so are divisible by 159 108120/170 = 636 gives remainder 0 and so are divisible by 170 108120/204 = 530 gives remainder 0 and so are divisible by 204 108120/212 = 510 gives remainder 0 and so are divisible by 212 108120/255 = 424 gives remainder 0 and so are divisible by 255 108120/265 = 408 gives remainder 0 and so are divisible by 265 108120/318 = 340 gives remainder 0 and so are divisible by 318 108120/340 = 318 gives remainder 0 and so are divisible by 340 108120/408 = 265 gives remainder 0 and so are divisible by 408 108120/424 = 255 gives remainder 0 and so are divisible by 424 108120/510 = 212 gives remainder 0 and so are divisible by 510 108120/530 = 204 gives remainder 0 and so are divisible by 530 108120/636 = 170 gives remainder 0 and so are divisible by 636 108120/680 = 159 gives remainder 0 and so are divisible by 680 108120/795 = 136 gives remainder 0 and so are divisible by 795 108120/901 = 120 gives remainder 0 and so are divisible by 901 108120/1020 = 106 gives remainder 0 and so are divisible by 1020 108120/1060 = 102 gives remainder 0 and so are divisible by 1060 108120/1272 = 85 gives remainder 0 and so are divisible by 1272 108120/1590 = 68 gives remainder 0 and so are divisible by 1590 108120/1802 = 60 gives remainder 0 and so are divisible by 1802 108120/2040 = 53 gives remainder 0 and so are divisible by 2040 108120/2120 = 51 gives remainder 0 and so are divisible by 2120 108120/2703 = 40 gives remainder 0 and so are divisible by 2703 108120/3180 = 34 gives remainder 0 and so are divisible by 3180 108120/3604 = 30 gives remainder 0 and so are divisible by 3604 108120/4505 = 24 gives remainder 0 and so are divisible by 4505 108120/5406 = 20 gives remainder 0 and so are divisible by 5406 108120/6360 = 17 gives remainder 0 and so are divisible by 6360 108120/7208 = 15 gives remainder 0 and so are divisible by 7208 108120/9010 = 12 gives remainder 0 and so are divisible by 9010 108120/10812 = 10 gives remainder 0 and so are divisible by 10812 108120/13515 = 8 gives remainder 0 and so are divisible by 13515 108120/18020 = 6 gives remainder 0 and so are divisible by 18020 108120/21624 = 5 gives remainder 0 and so are divisible by 21624 108120/27030 = 4 gives remainder 0 and so are divisible by 27030 108120/36040 = 3 gives remainder 0 and so are divisible by 36040 108120/54060 = 2 gives remainder 0 and so are divisible by 54060 108120/108120 = 1 gives remainder 0 and so are divisible by 108120 Factors of 108122 108122/1 = 108122 gives remainder 0 and so are divisible by 1108122/2 = 54061 gives remainder 0 and so are divisible by 2 108122/7 = 15446 gives remainder 0 and so are divisible by 7 108122/14 = 7723 gives remainder 0 and so are divisible by 14 108122/7723 = 14 gives remainder 0 and so are divisible by 7723 108122/15446 = 7 gives remainder 0 and so are divisible by 15446 108122/54061 = 2 gives remainder 0 and so are divisible by 54061 108122/108122 = 1 gives remainder 0 and so are divisible by 108122 |
Converting to factors of 108120,108122
We get factors of 108120,108122 numbers by finding numbers that can be multiplied together to equal the target number being converted.
This means numbers that can divide 108120,108122 without remainders. So first number to consider is 1 and 108120,108122
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
108120 108121 108122 108123 108124
108122 108123 108124 108125 108126
108121 108122 108123 108124 108125
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.