Q: What are the factor combinations of the number 12,623,699?

 A:
Positive:   1 x 1262369911 x 114760953 x 23818359 x 213961367 x 34397583 x 21653649 x 194513127 x 4037
Negative: -1 x -12623699-11 x -1147609-53 x -238183-59 x -213961-367 x -34397-583 x -21653-649 x -19451-3127 x -4037


How do I find the factor combinations of the number 12,623,699?

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 12,623,699, 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 12,623,699
-1 -12,623,699

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 12,623,699.

Example:
1 x 12,623,699 = 12,623,699
and
-1 x -12,623,699 = 12,623,699
Notice both answers equal 12,623,699

With that explanation out of the way, let's continue. Next, we take the number 12,623,699 and divide it by 2:

12,623,699 ÷ 2 = 6,311,849.5

If the quotient is a whole number, then 2 and 6,311,849.5 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 12,623,699
-1 -12,623,699

Now, we try dividing 12,623,699 by 3:

12,623,699 ÷ 3 = 4,207,899.6667

If the quotient is a whole number, then 3 and 4,207,899.6667 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 12,623,699
-1 -12,623,699

Let's try dividing by 4:

12,623,699 ÷ 4 = 3,155,924.75

If the quotient is a whole number, then 4 and 3,155,924.75 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 12,623,699
-1 12,623,699
Keep dividing by the next highest number until you cannot divide anymore.

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

11153593675836493,1274,03719,45121,65334,397213,961238,1831,147,60912,623,699
-1-11-53-59-367-583-649-3,127-4,037-19,451-21,653-34,397-213,961-238,183-1,147,609-12,623,699

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 12,623,699:


Ask a Question