Q: What are the factor combinations of the number 12,242,335?

 A:
Positive:   1 x 122423355 x 24484677 x 174890535 x 349781109 x 112315545 x 22463763 x 160453209 x 3815
Negative: -1 x -12242335-5 x -2448467-7 x -1748905-35 x -349781-109 x -112315-545 x -22463-763 x -16045-3209 x -3815


How do I find the factor combinations of the number 12,242,335?

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 12,242,335, 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 12,242,335
-1 -12,242,335

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 12,242,335.

Example:
1 x 12,242,335 = 12,242,335
and
-1 x -12,242,335 = 12,242,335
Notice both answers equal 12,242,335

With that explanation out of the way, let's continue. Next, we take the number 12,242,335 and divide it by 2:

12,242,335 ÷ 2 = 6,121,167.5

If the quotient is a whole number, then 2 and 6,121,167.5 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 12,242,335
-1 -12,242,335

Now, we try dividing 12,242,335 by 3:

12,242,335 ÷ 3 = 4,080,778.3333

If the quotient is a whole number, then 3 and 4,080,778.3333 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 12,242,335
-1 -12,242,335

Let's try dividing by 4:

12,242,335 ÷ 4 = 3,060,583.75

If the quotient is a whole number, then 4 and 3,060,583.75 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 12,242,335
-1 12,242,335
Keep dividing by the next highest number until you cannot divide anymore.

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

157351095457633,2093,81516,04522,463112,315349,7811,748,9052,448,46712,242,335
-1-5-7-35-109-545-763-3,209-3,815-16,045-22,463-112,315-349,781-1,748,905-2,448,467-12,242,335

More Examples

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