Q: What are the factor combinations of the number 704,147,315?

 A:
Positive:   1 x 7041473155 x 14082946319 x 3706038595 x 7412077607 x 11600453035 x 23200911533 x 6105512211 x 57665
Negative: -1 x -704147315-5 x -140829463-19 x -37060385-95 x -7412077-607 x -1160045-3035 x -232009-11533 x -61055-12211 x -57665


How do I find the factor combinations of the number 704,147,315?

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 704,147,315, 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.

1 704,147,315
-1 -704,147,315

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 704,147,315.

Example:
1 x 704,147,315 = 704,147,315
and
-1 x -704,147,315 = 704,147,315
Notice both answers equal 704,147,315

With that explanation out of the way, let's continue. Next, we take the number 704,147,315 and divide it by 2:

704,147,315 ÷ 2 = 352,073,657.5

If the quotient is a whole number, then 2 and 352,073,657.5 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:

1 704,147,315
-1 -704,147,315

Now, we try dividing 704,147,315 by 3:

704,147,315 ÷ 3 = 234,715,771.6667

If the quotient is a whole number, then 3 and 234,715,771.6667 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:

1 704,147,315
-1 -704,147,315

Let's try dividing by 4:

704,147,315 ÷ 4 = 176,036,828.75

If the quotient is a whole number, then 4 and 176,036,828.75 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:

1 704,147,315
-1 704,147,315
Keep dividing by the next highest number until you cannot divide anymore.

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

1519956073,03511,53312,21157,66561,055232,0091,160,0457,412,07737,060,385140,829,463704,147,315
-1-5-19-95-607-3,035-11,533-12,211-57,665-61,055-232,009-1,160,045-7,412,077-37,060,385-140,829,463-704,147,315

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