Q: What are the factor combinations of the number 12,706,837?

 A:
Positive:   1 x 1270683711 x 115516713 x 97744917 x 747461143 x 88859187 x 67951221 x 574972431 x 5227
Negative: -1 x -12706837-11 x -1155167-13 x -977449-17 x -747461-143 x -88859-187 x -67951-221 x -57497-2431 x -5227


How do I find the factor combinations of the number 12,706,837?

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 12,706,837, 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 12,706,837
-1 -12,706,837

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 12,706,837.

Example:
1 x 12,706,837 = 12,706,837
and
-1 x -12,706,837 = 12,706,837
Notice both answers equal 12,706,837

With that explanation out of the way, let's continue. Next, we take the number 12,706,837 and divide it by 2:

12,706,837 ÷ 2 = 6,353,418.5

If the quotient is a whole number, then 2 and 6,353,418.5 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 12,706,837
-1 -12,706,837

Now, we try dividing 12,706,837 by 3:

12,706,837 ÷ 3 = 4,235,612.3333

If the quotient is a whole number, then 3 and 4,235,612.3333 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 12,706,837
-1 -12,706,837

Let's try dividing by 4:

12,706,837 ÷ 4 = 3,176,709.25

If the quotient is a whole number, then 4 and 3,176,709.25 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 12,706,837
-1 12,706,837
Keep dividing by the next highest number until you cannot divide anymore.

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

11113171431872212,4315,22757,49767,95188,859747,461977,4491,155,16712,706,837
-1-11-13-17-143-187-221-2,431-5,227-57,497-67,951-88,859-747,461-977,449-1,155,167-12,706,837

More Examples

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