Q: What are the factor combinations of the number 220,212,313?

 A:
Positive:   1 x 22021231331 x 7103623107 x 2058059197 x 1117829337 x 6534493317 x 663896107 x 3605910447 x 21079
Negative: -1 x -220212313-31 x -7103623-107 x -2058059-197 x -1117829-337 x -653449-3317 x -66389-6107 x -36059-10447 x -21079


How do I find the factor combinations of the number 220,212,313?

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 220,212,313, 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.

1 220,212,313
-1 -220,212,313

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 220,212,313.

Example:
1 x 220,212,313 = 220,212,313
and
-1 x -220,212,313 = 220,212,313
Notice both answers equal 220,212,313

With that explanation out of the way, let's continue. Next, we take the number 220,212,313 and divide it by 2:

220,212,313 ÷ 2 = 110,106,156.5

If the quotient is a whole number, then 2 and 110,106,156.5 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:

1 220,212,313
-1 -220,212,313

Now, we try dividing 220,212,313 by 3:

220,212,313 ÷ 3 = 73,404,104.3333

If the quotient is a whole number, then 3 and 73,404,104.3333 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:

1 220,212,313
-1 -220,212,313

Let's try dividing by 4:

220,212,313 ÷ 4 = 55,053,078.25

If the quotient is a whole number, then 4 and 55,053,078.25 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:

1 220,212,313
-1 220,212,313
Keep dividing by the next highest number until you cannot divide anymore.

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

1311071973373,3176,10710,44721,07936,05966,389653,4491,117,8292,058,0597,103,623220,212,313
-1-31-107-197-337-3,317-6,107-10,447-21,079-36,059-66,389-653,449-1,117,829-2,058,059-7,103,623-220,212,313

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 220,212,313:


Ask a Question