Q: What are the factor combinations of the number 704,765?

 A:
Positive:   1 x 7047655 x 14095347 x 14995235 x 2999
Negative: -1 x -704765-5 x -140953-47 x -14995-235 x -2999


How do I find the factor combinations of the number 704,765?

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 704,765, 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.

1 704,765
-1 -704,765

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 704,765.

Example:
1 x 704,765 = 704,765
and
-1 x -704,765 = 704,765
Notice both answers equal 704,765

With that explanation out of the way, let's continue. Next, we take the number 704,765 and divide it by 2:

704,765 ÷ 2 = 352,382.5

If the quotient is a whole number, then 2 and 352,382.5 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:

1 704,765
-1 -704,765

Now, we try dividing 704,765 by 3:

704,765 ÷ 3 = 234,921.6667

If the quotient is a whole number, then 3 and 234,921.6667 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:

1 704,765
-1 -704,765

Let's try dividing by 4:

704,765 ÷ 4 = 176,191.25

If the quotient is a whole number, then 4 and 176,191.25 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:

1 704,765
-1 704,765
Keep dividing by the next highest number until you cannot divide anymore.

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

15472352,99914,995140,953704,765
-1-5-47-235-2,999-14,995-140,953-704,765

More Examples

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