Q: What are the factor combinations of the number 12,204,745?

 A:
Positive:   1 x 122047455 x 24409497 x 174353519 x 64235535 x 34870795 x 128471133 x 91765665 x 18353
Negative: -1 x -12204745-5 x -2440949-7 x -1743535-19 x -642355-35 x -348707-95 x -128471-133 x -91765-665 x -18353


How do I find the factor combinations of the number 12,204,745?

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 12,204,745, 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 12,204,745
-1 -12,204,745

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 12,204,745.

Example:
1 x 12,204,745 = 12,204,745
and
-1 x -12,204,745 = 12,204,745
Notice both answers equal 12,204,745

With that explanation out of the way, let's continue. Next, we take the number 12,204,745 and divide it by 2:

12,204,745 ÷ 2 = 6,102,372.5

If the quotient is a whole number, then 2 and 6,102,372.5 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 12,204,745
-1 -12,204,745

Now, we try dividing 12,204,745 by 3:

12,204,745 ÷ 3 = 4,068,248.3333

If the quotient is a whole number, then 3 and 4,068,248.3333 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 12,204,745
-1 -12,204,745

Let's try dividing by 4:

12,204,745 ÷ 4 = 3,051,186.25

If the quotient is a whole number, then 4 and 3,051,186.25 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 12,204,745
-1 12,204,745
Keep dividing by the next highest number until you cannot divide anymore.

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

15719359513366518,35391,765128,471348,707642,3551,743,5352,440,94912,204,745
-1-5-7-19-35-95-133-665-18,353-91,765-128,471-348,707-642,355-1,743,535-2,440,949-12,204,745

More Examples

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