Q: What are the factor combinations of the number 316,528,885?

 A:
Positive:   1 x 3165288855 x 6330577719 x 1665941595 x 3331883163 x 1941895815 x 3883793097 x 10220515485 x 20441
Negative: -1 x -316528885-5 x -63305777-19 x -16659415-95 x -3331883-163 x -1941895-815 x -388379-3097 x -102205-15485 x -20441


How do I find the factor combinations of the number 316,528,885?

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 316,528,885, 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.

1 316,528,885
-1 -316,528,885

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 316,528,885.

Example:
1 x 316,528,885 = 316,528,885
and
-1 x -316,528,885 = 316,528,885
Notice both answers equal 316,528,885

With that explanation out of the way, let's continue. Next, we take the number 316,528,885 and divide it by 2:

316,528,885 ÷ 2 = 158,264,442.5

If the quotient is a whole number, then 2 and 158,264,442.5 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:

1 316,528,885
-1 -316,528,885

Now, we try dividing 316,528,885 by 3:

316,528,885 ÷ 3 = 105,509,628.3333

If the quotient is a whole number, then 3 and 105,509,628.3333 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:

1 316,528,885
-1 -316,528,885

Let's try dividing by 4:

316,528,885 ÷ 4 = 79,132,221.25

If the quotient is a whole number, then 4 and 79,132,221.25 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:

1 316,528,885
-1 316,528,885
Keep dividing by the next highest number until you cannot divide anymore.

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

1519951638153,09715,48520,441102,205388,3791,941,8953,331,88316,659,41563,305,777316,528,885
-1-5-19-95-163-815-3,097-15,485-20,441-102,205-388,379-1,941,895-3,331,883-16,659,415-63,305,777-316,528,885

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 316,528,885:


Ask a Question