Q: What are the factor combinations of the number 13,631,569?

 A:
Positive:   1 x 136315697 x 194736717 x 80185719 x 717451119 x 114551133 x 102493323 x 422032261 x 6029
Negative: -1 x -13631569-7 x -1947367-17 x -801857-19 x -717451-119 x -114551-133 x -102493-323 x -42203-2261 x -6029


How do I find the factor combinations of the number 13,631,569?

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 13,631,569, 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 13,631,569
-1 -13,631,569

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 13,631,569.

Example:
1 x 13,631,569 = 13,631,569
and
-1 x -13,631,569 = 13,631,569
Notice both answers equal 13,631,569

With that explanation out of the way, let's continue. Next, we take the number 13,631,569 and divide it by 2:

13,631,569 ÷ 2 = 6,815,784.5

If the quotient is a whole number, then 2 and 6,815,784.5 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 13,631,569
-1 -13,631,569

Now, we try dividing 13,631,569 by 3:

13,631,569 ÷ 3 = 4,543,856.3333

If the quotient is a whole number, then 3 and 4,543,856.3333 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 13,631,569
-1 -13,631,569

Let's try dividing by 4:

13,631,569 ÷ 4 = 3,407,892.25

If the quotient is a whole number, then 4 and 3,407,892.25 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 13,631,569
-1 13,631,569
Keep dividing by the next highest number until you cannot divide anymore.

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

1717191191333232,2616,02942,203102,493114,551717,451801,8571,947,36713,631,569
-1-7-17-19-119-133-323-2,261-6,029-42,203-102,493-114,551-717,451-801,857-1,947,367-13,631,569

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 13,631,569:


Ask a Question