Factors of 108124,108127 and 108129
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Solution Factors are numbers that can divide without remainder. Factors of 108124 108124/1 = 108124 gives remainder 0 and so are divisible by 1108124/2 = 54062 gives remainder 0 and so are divisible by 2 108124/4 = 27031 gives remainder 0 and so are divisible by 4 108124/27031 = 4 gives remainder 0 and so are divisible by 27031 108124/54062 = 2 gives remainder 0 and so are divisible by 54062 108124/108124 = 1 gives remainder 0 and so are divisible by 108124 Factors of 108127 108127/1 = 108127 gives remainder 0 and so are divisible by 1108127/108127 = 1 gives remainder 0 and so are divisible by 108127 Factors of 108129 108129/1 = 108129 gives remainder 0 and so are divisible by 1108129/3 = 36043 gives remainder 0 and so are divisible by 3 108129/7 = 15447 gives remainder 0 and so are divisible by 7 108129/19 = 5691 gives remainder 0 and so are divisible by 19 108129/21 = 5149 gives remainder 0 and so are divisible by 21 108129/57 = 1897 gives remainder 0 and so are divisible by 57 108129/133 = 813 gives remainder 0 and so are divisible by 133 108129/271 = 399 gives remainder 0 and so are divisible by 271 108129/399 = 271 gives remainder 0 and so are divisible by 399 108129/813 = 133 gives remainder 0 and so are divisible by 813 108129/1897 = 57 gives remainder 0 and so are divisible by 1897 108129/5149 = 21 gives remainder 0 and so are divisible by 5149 108129/5691 = 19 gives remainder 0 and so are divisible by 5691 108129/15447 = 7 gives remainder 0 and so are divisible by 15447 108129/36043 = 3 gives remainder 0 and so are divisible by 36043 108129/108129 = 1 gives remainder 0 and so are divisible by 108129 |
Converting to factors of 108124,108127,108129
We get factors of 108124,108127,108129 numbers by finding numbers that can be multiplied together to equal the target number being converted.
This means numbers that can divide 108124,108127,108129 without remainders. So first number to consider is 1 and 108124,108127,108129
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
108124 108125 108126 108127 108128
108126 108127 108128 108129 108130
108125 108126 108127 108128 108129
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.