Factors of 99402,99405 and 99407
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Solution Factors are numbers that can divide without remainder. Factors of 99402 99402/1 = 99402 gives remainder 0 and so are divisible by 199402/2 = 49701 gives remainder 0 and so are divisible by 2 99402/3 = 33134 gives remainder 0 and so are divisible by 3 99402/6 = 16567 gives remainder 0 and so are divisible by 6 99402/16567 = 6 gives remainder 0 and so are divisible by 16567 99402/33134 = 3 gives remainder 0 and so are divisible by 33134 99402/49701 = 2 gives remainder 0 and so are divisible by 49701 99402/99402 = 1 gives remainder 0 and so are divisible by 99402 Factors of 99405 99405/1 = 99405 gives remainder 0 and so are divisible by 199405/3 = 33135 gives remainder 0 and so are divisible by 3 99405/5 = 19881 gives remainder 0 and so are divisible by 5 99405/9 = 11045 gives remainder 0 and so are divisible by 9 99405/15 = 6627 gives remainder 0 and so are divisible by 15 99405/45 = 2209 gives remainder 0 and so are divisible by 45 99405/47 = 2115 gives remainder 0 and so are divisible by 47 99405/141 = 705 gives remainder 0 and so are divisible by 141 99405/235 = 423 gives remainder 0 and so are divisible by 235 99405/423 = 235 gives remainder 0 and so are divisible by 423 99405/705 = 141 gives remainder 0 and so are divisible by 705 99405/2115 = 47 gives remainder 0 and so are divisible by 2115 99405/2209 = 45 gives remainder 0 and so are divisible by 2209 99405/6627 = 15 gives remainder 0 and so are divisible by 6627 99405/11045 = 9 gives remainder 0 and so are divisible by 11045 99405/19881 = 5 gives remainder 0 and so are divisible by 19881 99405/33135 = 3 gives remainder 0 and so are divisible by 33135 99405/99405 = 1 gives remainder 0 and so are divisible by 99405 Factors of 99407 99407/1 = 99407 gives remainder 0 and so are divisible by 199407/7 = 14201 gives remainder 0 and so are divisible by 7 99407/11 = 9037 gives remainder 0 and so are divisible by 11 99407/77 = 1291 gives remainder 0 and so are divisible by 77 99407/1291 = 77 gives remainder 0 and so are divisible by 1291 99407/9037 = 11 gives remainder 0 and so are divisible by 9037 99407/14201 = 7 gives remainder 0 and so are divisible by 14201 99407/99407 = 1 gives remainder 0 and so are divisible by 99407 |
Converting to factors of 99402,99405,99407
We get factors of 99402,99405,99407 numbers by finding numbers that can be multiplied together to equal the target number being converted.
This means numbers that can divide 99402,99405,99407 without remainders. So first number to consider is 1 and 99402,99405,99407
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.