Q: What are the factor combinations of the number 316,513,835?

 A:
Positive:   1 x 3165138355 x 6330276711 x 2877398555 x 57547971319 x 2399654363 x 725456595 x 4799314509 x 21815
Negative: -1 x -316513835-5 x -63302767-11 x -28773985-55 x -5754797-1319 x -239965-4363 x -72545-6595 x -47993-14509 x -21815


How do I find the factor combinations of the number 316,513,835?

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 316,513,835, 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.

1 316,513,835
-1 -316,513,835

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 316,513,835.

Example:
1 x 316,513,835 = 316,513,835
and
-1 x -316,513,835 = 316,513,835
Notice both answers equal 316,513,835

With that explanation out of the way, let's continue. Next, we take the number 316,513,835 and divide it by 2:

316,513,835 ÷ 2 = 158,256,917.5

If the quotient is a whole number, then 2 and 158,256,917.5 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:

1 316,513,835
-1 -316,513,835

Now, we try dividing 316,513,835 by 3:

316,513,835 ÷ 3 = 105,504,611.6667

If the quotient is a whole number, then 3 and 105,504,611.6667 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:

1 316,513,835
-1 -316,513,835

Let's try dividing by 4:

316,513,835 ÷ 4 = 79,128,458.75

If the quotient is a whole number, then 4 and 79,128,458.75 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:

1 316,513,835
-1 316,513,835
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551,3194,3636,59514,50921,81547,99372,545239,9655,754,79728,773,98563,302,767316,513,835
-1-5-11-55-1,319-4,363-6,595-14,509-21,815-47,993-72,545-239,965-5,754,797-28,773,985-63,302,767-316,513,835

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 316,513,835:


Ask a Question