Q: What are the factor combinations of the number 704,463,245?

 A:
Positive:   1 x 7044632455 x 14089264959 x 11940055295 x 2388011593 x 11879652965 x 2375934027 x 17493520135 x 34987
Negative: -1 x -704463245-5 x -140892649-59 x -11940055-295 x -2388011-593 x -1187965-2965 x -237593-4027 x -174935-20135 x -34987


How do I find the factor combinations of the number 704,463,245?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 704,463,245, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 704,463,245
-1 -704,463,245

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 704,463,245.

Example:
1 x 704,463,245 = 704,463,245
and
-1 x -704,463,245 = 704,463,245
Notice both answers equal 704,463,245

With that explanation out of the way, let's continue. Next, we take the number 704,463,245 and divide it by 2:

704,463,245 ÷ 2 = 352,231,622.5

If the quotient is a whole number, then 2 and 352,231,622.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 704,463,245
-1 -704,463,245

Now, we try dividing 704,463,245 by 3:

704,463,245 ÷ 3 = 234,821,081.6667

If the quotient is a whole number, then 3 and 234,821,081.6667 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 704,463,245
-1 -704,463,245

Let's try dividing by 4:

704,463,245 ÷ 4 = 176,115,811.25

If the quotient is a whole number, then 4 and 176,115,811.25 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 704,463,245
-1 704,463,245
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

15592955932,9654,02720,13534,987174,935237,5931,187,9652,388,01111,940,055140,892,649704,463,245
-1-5-59-295-593-2,965-4,027-20,135-34,987-174,935-237,593-1,187,965-2,388,011-11,940,055-140,892,649-704,463,245

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