Q: What are the factor combinations of the number 13,377,185?

 A:
Positive:   1 x 133771855 x 2675437157 x 85205785 x 17041
Negative: -1 x -13377185-5 x -2675437-157 x -85205-785 x -17041


How do I find the factor combinations of the number 13,377,185?

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 13,377,185, 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 13,377,185
-1 -13,377,185

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 13,377,185.

Example:
1 x 13,377,185 = 13,377,185
and
-1 x -13,377,185 = 13,377,185
Notice both answers equal 13,377,185

With that explanation out of the way, let's continue. Next, we take the number 13,377,185 and divide it by 2:

13,377,185 ÷ 2 = 6,688,592.5

If the quotient is a whole number, then 2 and 6,688,592.5 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 13,377,185
-1 -13,377,185

Now, we try dividing 13,377,185 by 3:

13,377,185 ÷ 3 = 4,459,061.6667

If the quotient is a whole number, then 3 and 4,459,061.6667 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 13,377,185
-1 -13,377,185

Let's try dividing by 4:

13,377,185 ÷ 4 = 3,344,296.25

If the quotient is a whole number, then 4 and 3,344,296.25 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 13,377,185
-1 13,377,185
Keep dividing by the next highest number until you cannot divide anymore.

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

1515778517,04185,2052,675,43713,377,185
-1-5-157-785-17,041-85,205-2,675,437-13,377,185

More Examples

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