Q: What are the factor combinations of the number 13,373,213?

 A:
Positive:   1 x 133732137 x 191045961 x 219233427 x 31319
Negative: -1 x -13373213-7 x -1910459-61 x -219233-427 x -31319


How do I find the factor combinations of the number 13,373,213?

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 13,373,213, 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 13,373,213
-1 -13,373,213

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 13,373,213.

Example:
1 x 13,373,213 = 13,373,213
and
-1 x -13,373,213 = 13,373,213
Notice both answers equal 13,373,213

With that explanation out of the way, let's continue. Next, we take the number 13,373,213 and divide it by 2:

13,373,213 ÷ 2 = 6,686,606.5

If the quotient is a whole number, then 2 and 6,686,606.5 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 13,373,213
-1 -13,373,213

Now, we try dividing 13,373,213 by 3:

13,373,213 ÷ 3 = 4,457,737.6667

If the quotient is a whole number, then 3 and 4,457,737.6667 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 13,373,213
-1 -13,373,213

Let's try dividing by 4:

13,373,213 ÷ 4 = 3,343,303.25

If the quotient is a whole number, then 4 and 3,343,303.25 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 13,373,213
-1 13,373,213
Keep dividing by the next highest number until you cannot divide anymore.

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

176142731,319219,2331,910,45913,373,213
-1-7-61-427-31,319-219,233-1,910,459-13,373,213

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 13,373,213:


Ask a Question