Q: What are the factor combinations of the number 13,453,121?

 A:
Positive:   1 x 1345312111 x 122301119 x 70805959 x 228019209 x 64369649 x 207291091 x 123311121 x 12001
Negative: -1 x -13453121-11 x -1223011-19 x -708059-59 x -228019-209 x -64369-649 x -20729-1091 x -12331-1121 x -12001


How do I find the factor combinations of the number 13,453,121?

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 13,453,121, 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 13,453,121
-1 -13,453,121

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 13,453,121.

Example:
1 x 13,453,121 = 13,453,121
and
-1 x -13,453,121 = 13,453,121
Notice both answers equal 13,453,121

With that explanation out of the way, let's continue. Next, we take the number 13,453,121 and divide it by 2:

13,453,121 ÷ 2 = 6,726,560.5

If the quotient is a whole number, then 2 and 6,726,560.5 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 13,453,121
-1 -13,453,121

Now, we try dividing 13,453,121 by 3:

13,453,121 ÷ 3 = 4,484,373.6667

If the quotient is a whole number, then 3 and 4,484,373.6667 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 13,453,121
-1 -13,453,121

Let's try dividing by 4:

13,453,121 ÷ 4 = 3,363,280.25

If the quotient is a whole number, then 4 and 3,363,280.25 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 13,453,121
-1 13,453,121
Keep dividing by the next highest number until you cannot divide anymore.

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

11119592096491,0911,12112,00112,33120,72964,369228,019708,0591,223,01113,453,121
-1-11-19-59-209-649-1,091-1,121-12,001-12,331-20,729-64,369-228,019-708,059-1,223,011-13,453,121

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 13,453,121:


Ask a Question