Q: What are the factor combinations of the number 12,024,745?

 A:
Positive:   1 x 120247455 x 240494923 x 52281531 x 387895115 x 104563155 x 77579713 x 168653373 x 3565
Negative: -1 x -12024745-5 x -2404949-23 x -522815-31 x -387895-115 x -104563-155 x -77579-713 x -16865-3373 x -3565


How do I find the factor combinations of the number 12,024,745?

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 12,024,745, 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 12,024,745
-1 -12,024,745

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 12,024,745.

Example:
1 x 12,024,745 = 12,024,745
and
-1 x -12,024,745 = 12,024,745
Notice both answers equal 12,024,745

With that explanation out of the way, let's continue. Next, we take the number 12,024,745 and divide it by 2:

12,024,745 ÷ 2 = 6,012,372.5

If the quotient is a whole number, then 2 and 6,012,372.5 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 12,024,745
-1 -12,024,745

Now, we try dividing 12,024,745 by 3:

12,024,745 ÷ 3 = 4,008,248.3333

If the quotient is a whole number, then 3 and 4,008,248.3333 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 12,024,745
-1 -12,024,745

Let's try dividing by 4:

12,024,745 ÷ 4 = 3,006,186.25

If the quotient is a whole number, then 4 and 3,006,186.25 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 12,024,745
-1 12,024,745
Keep dividing by the next highest number until you cannot divide anymore.

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

1523311151557133,3733,56516,86577,579104,563387,895522,8152,404,94912,024,745
-1-5-23-31-115-155-713-3,373-3,565-16,865-77,579-104,563-387,895-522,815-2,404,949-12,024,745

More Examples

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