Factoring Common factors of 699,702 and 704

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Factors of 699,702 and 704

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

Factors are

Factors of 699 =1, 3, 233, 699

Factors of 702 =1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

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

Equivalent to

what goes into 704

what multiplies to 704

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The real common factors of 699,702,704 is 1

Solution

Factors are numbers that can divide without remainder.

Factors of 699

699/1 = 699         gives remainder 0 and so are divisible by 1
699/3 = 233         gives remainder 0 and so are divisible by 3
699/233 = 3         gives remainder 0 and so are divisible by 233
699/699 = 1         gives remainder 0 and so are divisible by 699

Factors of 702

702/1 = 702         gives remainder 0 and so are divisible by 1
702/2 = 351         gives remainder 0 and so are divisible by 2
702/3 = 234         gives remainder 0 and so are divisible by 3
702/6 = 117         gives remainder 0 and so are divisible by 6
702/9 = 78         gives remainder 0 and so are divisible by 9
702/13 = 54         gives remainder 0 and so are divisible by 13
702/18 = 39         gives remainder 0 and so are divisible by 18
702/26 = 27         gives remainder 0 and so are divisible by 26
702/27 = 26         gives remainder 0 and so are divisible by 27
702/39 = 18         gives remainder 0 and so are divisible by 39
702/54 = 13         gives remainder 0 and so are divisible by 54
702/78 = 9         gives remainder 0 and so are divisible by 78
702/117 = 6         gives remainder 0 and so are divisible by 117
702/234 = 3         gives remainder 0 and so are divisible by 234
702/351 = 2         gives remainder 0 and so are divisible by 351
702/702 = 1         gives remainder 0 and so are divisible by 702

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

Converting to factors of 699,702,704

We get factors of 699,702,704 numbers by finding numbers that can be multiplied together to equal the target number being converted.

This means numbers that can divide 699,702,704 without remainders. So first number to consider is 1 and 699,702,704

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

699  700  701  702  703  

701  702  703  704  705  

700  701  702  703  704  

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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