Q: What are the factor combinations of the number 337,171,331?

 A:
Positive:   1 x 3371713317 x 4816733341 x 8223691287 x 1174813709 x 4755591657 x 2034834963 x 6793711599 x 29069
Negative: -1 x -337171331-7 x -48167333-41 x -8223691-287 x -1174813-709 x -475559-1657 x -203483-4963 x -67937-11599 x -29069


How do I find the factor combinations of the number 337,171,331?

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 337,171,331, 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.

1 337,171,331
-1 -337,171,331

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 337,171,331.

Example:
1 x 337,171,331 = 337,171,331
and
-1 x -337,171,331 = 337,171,331
Notice both answers equal 337,171,331

With that explanation out of the way, let's continue. Next, we take the number 337,171,331 and divide it by 2:

337,171,331 ÷ 2 = 168,585,665.5

If the quotient is a whole number, then 2 and 168,585,665.5 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:

1 337,171,331
-1 -337,171,331

Now, we try dividing 337,171,331 by 3:

337,171,331 ÷ 3 = 112,390,443.6667

If the quotient is a whole number, then 3 and 112,390,443.6667 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:

1 337,171,331
-1 -337,171,331

Let's try dividing by 4:

337,171,331 ÷ 4 = 84,292,832.75

If the quotient is a whole number, then 4 and 84,292,832.75 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:

1 337,171,331
-1 337,171,331
Keep dividing by the next highest number until you cannot divide anymore.

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

17412877091,6574,96311,59929,06967,937203,483475,5591,174,8138,223,69148,167,333337,171,331
-1-7-41-287-709-1,657-4,963-11,599-29,069-67,937-203,483-475,559-1,174,813-8,223,691-48,167,333-337,171,331

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