Q: What are the factor combinations of the number 15,030,691?

 A:
Positive:   1 x 1503069113 x 115620719 x 79108931 x 484861151 x 99541169 x 88939247 x 60853403 x 37297589 x 255191963 x 76572869 x 52393211 x 4681
Negative: -1 x -15030691-13 x -1156207-19 x -791089-31 x -484861-151 x -99541-169 x -88939-247 x -60853-403 x -37297-589 x -25519-1963 x -7657-2869 x -5239-3211 x -4681


How do I find the factor combinations of the number 15,030,691?

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 15,030,691, 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 15,030,691
-1 -15,030,691

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 15,030,691.

Example:
1 x 15,030,691 = 15,030,691
and
-1 x -15,030,691 = 15,030,691
Notice both answers equal 15,030,691

With that explanation out of the way, let's continue. Next, we take the number 15,030,691 and divide it by 2:

15,030,691 ÷ 2 = 7,515,345.5

If the quotient is a whole number, then 2 and 7,515,345.5 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 15,030,691
-1 -15,030,691

Now, we try dividing 15,030,691 by 3:

15,030,691 ÷ 3 = 5,010,230.3333

If the quotient is a whole number, then 3 and 5,010,230.3333 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 15,030,691
-1 -15,030,691

Let's try dividing by 4:

15,030,691 ÷ 4 = 3,757,672.75

If the quotient is a whole number, then 4 and 3,757,672.75 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 15,030,691
-1 15,030,691
Keep dividing by the next highest number until you cannot divide anymore.

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

11319311511692474035891,9632,8693,2114,6815,2397,65725,51937,29760,85388,93999,541484,861791,0891,156,20715,030,691
-1-13-19-31-151-169-247-403-589-1,963-2,869-3,211-4,681-5,239-7,657-25,519-37,297-60,853-88,939-99,541-484,861-791,089-1,156,207-15,030,691

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 15,030,691:


Ask a Question