Q: What are the factor combinations of the number 679,355?

 A:
Positive:   1 x 6793555 x 13587183 x 8185415 x 1637
Negative: -1 x -679355-5 x -135871-83 x -8185-415 x -1637


How do I find the factor combinations of the number 679,355?

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 679,355, 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.

1 679,355
-1 -679,355

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 679,355.

Example:
1 x 679,355 = 679,355
and
-1 x -679,355 = 679,355
Notice both answers equal 679,355

With that explanation out of the way, let's continue. Next, we take the number 679,355 and divide it by 2:

679,355 ÷ 2 = 339,677.5

If the quotient is a whole number, then 2 and 339,677.5 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:

1 679,355
-1 -679,355

Now, we try dividing 679,355 by 3:

679,355 ÷ 3 = 226,451.6667

If the quotient is a whole number, then 3 and 226,451.6667 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:

1 679,355
-1 -679,355

Let's try dividing by 4:

679,355 ÷ 4 = 169,838.75

If the quotient is a whole number, then 4 and 169,838.75 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:

1 679,355
-1 679,355
Keep dividing by the next highest number until you cannot divide anymore.

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

15834151,6378,185135,871679,355
-1-5-83-415-1,637-8,185-135,871-679,355

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 679,355:


Ask a Question