Q: What are the factor combinations of the number 36,345,852?

 A:
Positive:   1 x 363458522 x 181729263 x 121152844 x 90864636 x 60576429 x 403842812 x 302882118 x 201921436 x 100960747 x 77331694 x 386658141 x 257772188 x 193329282 x 128886423 x 85924564 x 64443846 x 429621692 x 21481
Negative: -1 x -36345852-2 x -18172926-3 x -12115284-4 x -9086463-6 x -6057642-9 x -4038428-12 x -3028821-18 x -2019214-36 x -1009607-47 x -773316-94 x -386658-141 x -257772-188 x -193329-282 x -128886-423 x -85924-564 x -64443-846 x -42962-1692 x -21481


How do I find the factor combinations of the number 36,345,852?

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 36,345,852, 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 36,345,852
-1 -36,345,852

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 36,345,852.

Example:
1 x 36,345,852 = 36,345,852
and
-1 x -36,345,852 = 36,345,852
Notice both answers equal 36,345,852

With that explanation out of the way, let's continue. Next, we take the number 36,345,852 and divide it by 2:

36,345,852 ÷ 2 = 18,172,926

If the quotient is a whole number, then 2 and 18,172,926 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 18,172,926 36,345,852
-1 -2 -18,172,926 -36,345,852

Now, we try dividing 36,345,852 by 3:

36,345,852 ÷ 3 = 12,115,284

If the quotient is a whole number, then 3 and 12,115,284 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 12,115,284 18,172,926 36,345,852
-1 -2 -3 -12,115,284 -18,172,926 -36,345,852

Let's try dividing by 4:

36,345,852 ÷ 4 = 9,086,463

If the quotient is a whole number, then 4 and 9,086,463 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 4 9,086,463 12,115,284 18,172,926 36,345,852
-1 -2 -3 -4 -9,086,463 -12,115,284 -18,172,926 36,345,852
Keep dividing by the next highest number until you cannot divide anymore.

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

12346912183647941411882824235648461,69221,48142,96264,44385,924128,886193,329257,772386,658773,3161,009,6072,019,2143,028,8214,038,4286,057,6429,086,46312,115,28418,172,92636,345,852
-1-2-3-4-6-9-12-18-36-47-94-141-188-282-423-564-846-1,692-21,481-42,962-64,443-85,924-128,886-193,329-257,772-386,658-773,316-1,009,607-2,019,214-3,028,821-4,038,428-6,057,642-9,086,463-12,115,284-18,172,926-36,345,852

More Examples

Here are some more numbers to try:

36,345,85036,345,85136,345,85336,345,854
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