Q: What are the factor combinations of the number 732,704,809?

 A:
Positive:   1 x 73270480919 x 3856341131 x 2363563941 x 17870849589 x 1243981779 x 9405711271 x 57647924149 x 30341
Negative: -1 x -732704809-19 x -38563411-31 x -23635639-41 x -17870849-589 x -1243981-779 x -940571-1271 x -576479-24149 x -30341


How do I find the factor combinations of the number 732,704,809?

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 732,704,809, 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.

1 732,704,809
-1 -732,704,809

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 732,704,809.

Example:
1 x 732,704,809 = 732,704,809
and
-1 x -732,704,809 = 732,704,809
Notice both answers equal 732,704,809

With that explanation out of the way, let's continue. Next, we take the number 732,704,809 and divide it by 2:

732,704,809 ÷ 2 = 366,352,404.5

If the quotient is a whole number, then 2 and 366,352,404.5 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:

1 732,704,809
-1 -732,704,809

Now, we try dividing 732,704,809 by 3:

732,704,809 ÷ 3 = 244,234,936.3333

If the quotient is a whole number, then 3 and 244,234,936.3333 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:

1 732,704,809
-1 -732,704,809

Let's try dividing by 4:

732,704,809 ÷ 4 = 183,176,202.25

If the quotient is a whole number, then 4 and 183,176,202.25 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:

1 732,704,809
-1 732,704,809
Keep dividing by the next highest number until you cannot divide anymore.

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

11931415897791,27124,14930,341576,479940,5711,243,98117,870,84923,635,63938,563,411732,704,809
-1-19-31-41-589-779-1,271-24,149-30,341-576,479-940,571-1,243,981-17,870,849-23,635,639-38,563,411-732,704,809

More Examples

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