Q: What are the factor combinations of the number 732,460,355?

 A:
Positive:   1 x 7324603555 x 14649207111 x 6658730519 x 3855054555 x 1331746195 x 7710109209 x 35045951045 x 700919
Negative: -1 x -732460355-5 x -146492071-11 x -66587305-19 x -38550545-55 x -13317461-95 x -7710109-209 x -3504595-1045 x -700919


How do I find the factor combinations of the number 732,460,355?

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 732,460,355, 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.

1 732,460,355
-1 -732,460,355

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 732,460,355.

Example:
1 x 732,460,355 = 732,460,355
and
-1 x -732,460,355 = 732,460,355
Notice both answers equal 732,460,355

With that explanation out of the way, let's continue. Next, we take the number 732,460,355 and divide it by 2:

732,460,355 ÷ 2 = 366,230,177.5

If the quotient is a whole number, then 2 and 366,230,177.5 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:

1 732,460,355
-1 -732,460,355

Now, we try dividing 732,460,355 by 3:

732,460,355 ÷ 3 = 244,153,451.6667

If the quotient is a whole number, then 3 and 244,153,451.6667 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:

1 732,460,355
-1 -732,460,355

Let's try dividing by 4:

732,460,355 ÷ 4 = 183,115,088.75

If the quotient is a whole number, then 4 and 183,115,088.75 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:

1 732,460,355
-1 732,460,355
Keep dividing by the next highest number until you cannot divide anymore.

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

15111955952091,045700,9193,504,5957,710,10913,317,46138,550,54566,587,305146,492,071732,460,355
-1-5-11-19-55-95-209-1,045-700,919-3,504,595-7,710,109-13,317,461-38,550,545-66,587,305-146,492,071-732,460,355

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 732,460,355:


Ask a Question