Q: What are the factor combinations of the number 220,444,315?

 A:
Positive:   1 x 2204443155 x 440888637 x 3149204513 x 1695725535 x 629840965 x 339145191 x 2422465455 x 484493
Negative: -1 x -220444315-5 x -44088863-7 x -31492045-13 x -16957255-35 x -6298409-65 x -3391451-91 x -2422465-455 x -484493


How do I find the factor combinations of the number 220,444,315?

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 220,444,315, 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.

1 220,444,315
-1 -220,444,315

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 220,444,315.

Example:
1 x 220,444,315 = 220,444,315
and
-1 x -220,444,315 = 220,444,315
Notice both answers equal 220,444,315

With that explanation out of the way, let's continue. Next, we take the number 220,444,315 and divide it by 2:

220,444,315 ÷ 2 = 110,222,157.5

If the quotient is a whole number, then 2 and 110,222,157.5 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:

1 220,444,315
-1 -220,444,315

Now, we try dividing 220,444,315 by 3:

220,444,315 ÷ 3 = 73,481,438.3333

If the quotient is a whole number, then 3 and 73,481,438.3333 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:

1 220,444,315
-1 -220,444,315

Let's try dividing by 4:

220,444,315 ÷ 4 = 55,111,078.75

If the quotient is a whole number, then 4 and 55,111,078.75 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:

1 220,444,315
-1 220,444,315
Keep dividing by the next highest number until you cannot divide anymore.

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

15713356591455484,4932,422,4653,391,4516,298,40916,957,25531,492,04544,088,863220,444,315
-1-5-7-13-35-65-91-455-484,493-2,422,465-3,391,451-6,298,409-16,957,255-31,492,045-44,088,863-220,444,315

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 220,444,315:


Ask a Question