Q: What are the factor combinations of the number 732,746,531?

 A:
Positive:   1 x 73274653111 x 6661332143 x 17040617473 x 1549147487 x 15046133181 x 2303515357 x 13678320941 x 34991
Negative: -1 x -732746531-11 x -66613321-43 x -17040617-473 x -1549147-487 x -1504613-3181 x -230351-5357 x -136783-20941 x -34991


How do I find the factor combinations of the number 732,746,531?

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 732,746,531, 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.

1 732,746,531
-1 -732,746,531

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 732,746,531.

Example:
1 x 732,746,531 = 732,746,531
and
-1 x -732,746,531 = 732,746,531
Notice both answers equal 732,746,531

With that explanation out of the way, let's continue. Next, we take the number 732,746,531 and divide it by 2:

732,746,531 ÷ 2 = 366,373,265.5

If the quotient is a whole number, then 2 and 366,373,265.5 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:

1 732,746,531
-1 -732,746,531

Now, we try dividing 732,746,531 by 3:

732,746,531 ÷ 3 = 244,248,843.6667

If the quotient is a whole number, then 3 and 244,248,843.6667 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:

1 732,746,531
-1 -732,746,531

Let's try dividing by 4:

732,746,531 ÷ 4 = 183,186,632.75

If the quotient is a whole number, then 4 and 183,186,632.75 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:

1 732,746,531
-1 732,746,531
Keep dividing by the next highest number until you cannot divide anymore.

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

111434734873,1815,35720,94134,991136,783230,3511,504,6131,549,14717,040,61766,613,321732,746,531
-1-11-43-473-487-3,181-5,357-20,941-34,991-136,783-230,351-1,504,613-1,549,147-17,040,617-66,613,321-732,746,531

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 732,746,531:


Ask a Question