Factoring Common factors of 704,707 and 709

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Factors of 704,707 and 709

Use the form below to do your conversion, separate numbers by comma.

Factors are

Factors of 704 =1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Factors of 707 =1, 7, 101, 707

Factors of 709 =1, 709

Equivalent to

what goes into 709

what multiplies to 709

what makes 709

what numbers go into 709

numbers that multiply to 709

what can you multiply to get 709



The real common factors of 704,707,709 is 1

Solution

Factors are numbers that can divide without remainder.

Factors of 704

704/1 = 704         gives remainder 0 and so are divisible by 1
704/2 = 352         gives remainder 0 and so are divisible by 2
704/4 = 176         gives remainder 0 and so are divisible by 4
704/8 = 88         gives remainder 0 and so are divisible by 8
704/11 = 64         gives remainder 0 and so are divisible by 11
704/16 = 44         gives remainder 0 and so are divisible by 16
704/22 = 32         gives remainder 0 and so are divisible by 22
704/32 = 22         gives remainder 0 and so are divisible by 32
704/44 = 16         gives remainder 0 and so are divisible by 44
704/64 = 11         gives remainder 0 and so are divisible by 64
704/88 = 8         gives remainder 0 and so are divisible by 88
704/176 = 4         gives remainder 0 and so are divisible by 176
704/352 = 2         gives remainder 0 and so are divisible by 352
704/704 = 1         gives remainder 0 and so are divisible by 704

Factors of 707

707/1 = 707         gives remainder 0 and so are divisible by 1
707/7 = 101         gives remainder 0 and so are divisible by 7
707/101 = 7         gives remainder 0 and so are divisible by 101
707/707 = 1         gives remainder 0 and so are divisible by 707

Factors of 709

709/1 = 709         gives remainder 0 and so are divisible by 1
709/709 = 1         gives remainder 0 and so are divisible by 709

Converting to factors of 704,707,709

We get factors of 704,707,709 numbers by finding numbers that can be multiplied together to equal the target number being converted.

This means numbers that can divide 704,707,709 without remainders. So first number to consider is 1 and 704,707,709

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.

Instructions:

  1. Type the number you want to convert
    Separate more than 1 number with comma.
  2. Click on convert to factor

Other number conversions to consider

704  705  706  707  708  

706  707  708  709  710  

705  706  707  708  709  

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.









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