Q: What are the factor combinations of the number 337,513,013?

 A:
Positive:   1 x 337513013101 x 33417131583 x 2132112111 x 159883
Negative: -1 x -337513013-101 x -3341713-1583 x -213211-2111 x -159883


How do I find the factor combinations of the number 337,513,013?

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 337,513,013, 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.

1 337,513,013
-1 -337,513,013

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 337,513,013.

Example:
1 x 337,513,013 = 337,513,013
and
-1 x -337,513,013 = 337,513,013
Notice both answers equal 337,513,013

With that explanation out of the way, let's continue. Next, we take the number 337,513,013 and divide it by 2:

337,513,013 ÷ 2 = 168,756,506.5

If the quotient is a whole number, then 2 and 168,756,506.5 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:

1 337,513,013
-1 -337,513,013

Now, we try dividing 337,513,013 by 3:

337,513,013 ÷ 3 = 112,504,337.6667

If the quotient is a whole number, then 3 and 112,504,337.6667 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:

1 337,513,013
-1 -337,513,013

Let's try dividing by 4:

337,513,013 ÷ 4 = 84,378,253.25

If the quotient is a whole number, then 4 and 84,378,253.25 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:

1 337,513,013
-1 337,513,013
Keep dividing by the next highest number until you cannot divide anymore.

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

11011,5832,111159,883213,2113,341,713337,513,013
-1-101-1,583-2,111-159,883-213,211-3,341,713-337,513,013

More Examples

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