Q: What are the factor combinations of the number 15,012,377?

 A:
Positive:   1 x 1501237717 x 88308173 x 2056491241 x 12097
Negative: -1 x -15012377-17 x -883081-73 x -205649-1241 x -12097


How do I find the factor combinations of the number 15,012,377?

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 15,012,377, 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 15,012,377
-1 -15,012,377

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 15,012,377.

Example:
1 x 15,012,377 = 15,012,377
and
-1 x -15,012,377 = 15,012,377
Notice both answers equal 15,012,377

With that explanation out of the way, let's continue. Next, we take the number 15,012,377 and divide it by 2:

15,012,377 ÷ 2 = 7,506,188.5

If the quotient is a whole number, then 2 and 7,506,188.5 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 15,012,377
-1 -15,012,377

Now, we try dividing 15,012,377 by 3:

15,012,377 ÷ 3 = 5,004,125.6667

If the quotient is a whole number, then 3 and 5,004,125.6667 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 15,012,377
-1 -15,012,377

Let's try dividing by 4:

15,012,377 ÷ 4 = 3,753,094.25

If the quotient is a whole number, then 4 and 3,753,094.25 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 15,012,377
-1 15,012,377
Keep dividing by the next highest number until you cannot divide anymore.

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

117731,24112,097205,649883,08115,012,377
-1-17-73-1,241-12,097-205,649-883,081-15,012,377

More Examples

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