Q: What are the factor combinations of the number 478,658,131?

 A:
Positive:   1 x 4786581317 x 68379733109 x 4391359257 x 1862483763 x 6273371799 x 2660692441 x 19609117087 x 28013
Negative: -1 x -478658131-7 x -68379733-109 x -4391359-257 x -1862483-763 x -627337-1799 x -266069-2441 x -196091-17087 x -28013


How do I find the factor combinations of the number 478,658,131?

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 478,658,131, 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.

1 478,658,131
-1 -478,658,131

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 478,658,131.

Example:
1 x 478,658,131 = 478,658,131
and
-1 x -478,658,131 = 478,658,131
Notice both answers equal 478,658,131

With that explanation out of the way, let's continue. Next, we take the number 478,658,131 and divide it by 2:

478,658,131 ÷ 2 = 239,329,065.5

If the quotient is a whole number, then 2 and 239,329,065.5 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:

1 478,658,131
-1 -478,658,131

Now, we try dividing 478,658,131 by 3:

478,658,131 ÷ 3 = 159,552,710.3333

If the quotient is a whole number, then 3 and 159,552,710.3333 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:

1 478,658,131
-1 -478,658,131

Let's try dividing by 4:

478,658,131 ÷ 4 = 119,664,532.75

If the quotient is a whole number, then 4 and 119,664,532.75 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:

1 478,658,131
-1 478,658,131
Keep dividing by the next highest number until you cannot divide anymore.

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

171092577631,7992,44117,08728,013196,091266,069627,3371,862,4834,391,35968,379,733478,658,131
-1-7-109-257-763-1,799-2,441-17,087-28,013-196,091-266,069-627,337-1,862,483-4,391,359-68,379,733-478,658,131

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 478,658,131:


Ask a Question