Q: What are the factor combinations of the number 12,465,937?

 A:
Positive:   1 x 1246593711 x 113326731 x 402127139 x 89683263 x 47399341 x 365571529 x 81532893 x 4309
Negative: -1 x -12465937-11 x -1133267-31 x -402127-139 x -89683-263 x -47399-341 x -36557-1529 x -8153-2893 x -4309


How do I find the factor combinations of the number 12,465,937?

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 12,465,937, 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 12,465,937
-1 -12,465,937

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 12,465,937.

Example:
1 x 12,465,937 = 12,465,937
and
-1 x -12,465,937 = 12,465,937
Notice both answers equal 12,465,937

With that explanation out of the way, let's continue. Next, we take the number 12,465,937 and divide it by 2:

12,465,937 ÷ 2 = 6,232,968.5

If the quotient is a whole number, then 2 and 6,232,968.5 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 12,465,937
-1 -12,465,937

Now, we try dividing 12,465,937 by 3:

12,465,937 ÷ 3 = 4,155,312.3333

If the quotient is a whole number, then 3 and 4,155,312.3333 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 12,465,937
-1 -12,465,937

Let's try dividing by 4:

12,465,937 ÷ 4 = 3,116,484.25

If the quotient is a whole number, then 4 and 3,116,484.25 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 12,465,937
-1 12,465,937
Keep dividing by the next highest number until you cannot divide anymore.

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

111311392633411,5292,8934,3098,15336,55747,39989,683402,1271,133,26712,465,937
-1-11-31-139-263-341-1,529-2,893-4,309-8,153-36,557-47,399-89,683-402,127-1,133,267-12,465,937

More Examples

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