Factors of 108123,108126 and 108128
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Solution Factors are numbers that can divide without remainder. Factors of 108123 108123/1 = 108123 gives remainder 0 and so are divisible by 1108123/3 = 36041 gives remainder 0 and so are divisible by 3 108123/23 = 4701 gives remainder 0 and so are divisible by 23 108123/69 = 1567 gives remainder 0 and so are divisible by 69 108123/1567 = 69 gives remainder 0 and so are divisible by 1567 108123/4701 = 23 gives remainder 0 and so are divisible by 4701 108123/36041 = 3 gives remainder 0 and so are divisible by 36041 108123/108123 = 1 gives remainder 0 and so are divisible by 108123 Factors of 108126 108126/1 = 108126 gives remainder 0 and so are divisible by 1108126/2 = 54063 gives remainder 0 and so are divisible by 2 108126/3 = 36042 gives remainder 0 and so are divisible by 3 108126/6 = 18021 gives remainder 0 and so are divisible by 6 108126/9 = 12014 gives remainder 0 and so are divisible by 9 108126/18 = 6007 gives remainder 0 and so are divisible by 18 108126/6007 = 18 gives remainder 0 and so are divisible by 6007 108126/12014 = 9 gives remainder 0 and so are divisible by 12014 108126/18021 = 6 gives remainder 0 and so are divisible by 18021 108126/36042 = 3 gives remainder 0 and so are divisible by 36042 108126/54063 = 2 gives remainder 0 and so are divisible by 54063 108126/108126 = 1 gives remainder 0 and so are divisible by 108126 Factors of 108128 108128/1 = 108128 gives remainder 0 and so are divisible by 1108128/2 = 54064 gives remainder 0 and so are divisible by 2 108128/4 = 27032 gives remainder 0 and so are divisible by 4 108128/8 = 13516 gives remainder 0 and so are divisible by 8 108128/16 = 6758 gives remainder 0 and so are divisible by 16 108128/31 = 3488 gives remainder 0 and so are divisible by 31 108128/32 = 3379 gives remainder 0 and so are divisible by 32 108128/62 = 1744 gives remainder 0 and so are divisible by 62 108128/109 = 992 gives remainder 0 and so are divisible by 109 108128/124 = 872 gives remainder 0 and so are divisible by 124 108128/218 = 496 gives remainder 0 and so are divisible by 218 108128/248 = 436 gives remainder 0 and so are divisible by 248 108128/436 = 248 gives remainder 0 and so are divisible by 436 108128/496 = 218 gives remainder 0 and so are divisible by 496 108128/872 = 124 gives remainder 0 and so are divisible by 872 108128/992 = 109 gives remainder 0 and so are divisible by 992 108128/1744 = 62 gives remainder 0 and so are divisible by 1744 108128/3379 = 32 gives remainder 0 and so are divisible by 3379 108128/3488 = 31 gives remainder 0 and so are divisible by 3488 108128/6758 = 16 gives remainder 0 and so are divisible by 6758 108128/13516 = 8 gives remainder 0 and so are divisible by 13516 108128/27032 = 4 gives remainder 0 and so are divisible by 27032 108128/54064 = 2 gives remainder 0 and so are divisible by 54064 108128/108128 = 1 gives remainder 0 and so are divisible by 108128 |
Converting to factors of 108123,108126,108128
We get factors of 108123,108126,108128 numbers by finding numbers that can be multiplied together to equal the target number being converted.
This means numbers that can divide 108123,108126,108128 without remainders. So first number to consider is 1 and 108123,108126,108128
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
108123 108124 108125 108126 108127
108125 108126 108127 108128 108129
108124 108125 108126 108127 108128
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.