Q: What are the factor combinations of the number 15,190,837?

 A:
Positive:   1 x 1519083731 x 490027193 x 787092539 x 5983
Negative: -1 x -15190837-31 x -490027-193 x -78709-2539 x -5983


How do I find the factor combinations of the number 15,190,837?

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 15,190,837, 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 15,190,837
-1 -15,190,837

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 15,190,837.

Example:
1 x 15,190,837 = 15,190,837
and
-1 x -15,190,837 = 15,190,837
Notice both answers equal 15,190,837

With that explanation out of the way, let's continue. Next, we take the number 15,190,837 and divide it by 2:

15,190,837 ÷ 2 = 7,595,418.5

If the quotient is a whole number, then 2 and 7,595,418.5 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 15,190,837
-1 -15,190,837

Now, we try dividing 15,190,837 by 3:

15,190,837 ÷ 3 = 5,063,612.3333

If the quotient is a whole number, then 3 and 5,063,612.3333 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 15,190,837
-1 -15,190,837

Let's try dividing by 4:

15,190,837 ÷ 4 = 3,797,709.25

If the quotient is a whole number, then 4 and 3,797,709.25 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 15,190,837
-1 15,190,837
Keep dividing by the next highest number until you cannot divide anymore.

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

1311932,5395,98378,709490,02715,190,837
-1-31-193-2,539-5,983-78,709-490,027-15,190,837

More Examples

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