Q: What are the factor combinations of the number 13,522,043?

 A:
Positive:   1 x 135220431123 x 12041
Negative: -1 x -13522043-1123 x -12041


How do I find the factor combinations of the number 13,522,043?

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 13,522,043, 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 13,522,043
-1 -13,522,043

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 13,522,043.

Example:
1 x 13,522,043 = 13,522,043
and
-1 x -13,522,043 = 13,522,043
Notice both answers equal 13,522,043

With that explanation out of the way, let's continue. Next, we take the number 13,522,043 and divide it by 2:

13,522,043 ÷ 2 = 6,761,021.5

If the quotient is a whole number, then 2 and 6,761,021.5 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 13,522,043
-1 -13,522,043

Now, we try dividing 13,522,043 by 3:

13,522,043 ÷ 3 = 4,507,347.6667

If the quotient is a whole number, then 3 and 4,507,347.6667 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 13,522,043
-1 -13,522,043

Let's try dividing by 4:

13,522,043 ÷ 4 = 3,380,510.75

If the quotient is a whole number, then 4 and 3,380,510.75 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 13,522,043
-1 13,522,043
Keep dividing by the next highest number until you cannot divide anymore.

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

11,12312,04113,522,043
-1-1,123-12,041-13,522,043

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 13,522,043:


Ask a Question