Q: What are the factor combinations of the number 12,645,545?

 A:
Positive:   1 x 126455455 x 252910911 x 114959519 x 66555555 x 22991995 x 133111209 x 605051045 x 12101
Negative: -1 x -12645545-5 x -2529109-11 x -1149595-19 x -665555-55 x -229919-95 x -133111-209 x -60505-1045 x -12101


How do I find the factor combinations of the number 12,645,545?

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 12,645,545, 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 12,645,545
-1 -12,645,545

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 12,645,545.

Example:
1 x 12,645,545 = 12,645,545
and
-1 x -12,645,545 = 12,645,545
Notice both answers equal 12,645,545

With that explanation out of the way, let's continue. Next, we take the number 12,645,545 and divide it by 2:

12,645,545 ÷ 2 = 6,322,772.5

If the quotient is a whole number, then 2 and 6,322,772.5 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 12,645,545
-1 -12,645,545

Now, we try dividing 12,645,545 by 3:

12,645,545 ÷ 3 = 4,215,181.6667

If the quotient is a whole number, then 3 and 4,215,181.6667 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 12,645,545
-1 -12,645,545

Let's try dividing by 4:

12,645,545 ÷ 4 = 3,161,386.25

If the quotient is a whole number, then 4 and 3,161,386.25 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 12,645,545
-1 12,645,545
Keep dividing by the next highest number until you cannot divide anymore.

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

15111955952091,04512,10160,505133,111229,919665,5551,149,5952,529,10912,645,545
-1-5-11-19-55-95-209-1,045-12,101-60,505-133,111-229,919-665,555-1,149,595-2,529,109-12,645,545

More Examples

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