Q: What are the factor combinations of the number 15,044,485?

 A:
Positive:   1 x 150444855 x 300889719 x 79181595 x 158363
Negative: -1 x -15044485-5 x -3008897-19 x -791815-95 x -158363


How do I find the factor combinations of the number 15,044,485?

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 15,044,485, 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 15,044,485
-1 -15,044,485

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 15,044,485.

Example:
1 x 15,044,485 = 15,044,485
and
-1 x -15,044,485 = 15,044,485
Notice both answers equal 15,044,485

With that explanation out of the way, let's continue. Next, we take the number 15,044,485 and divide it by 2:

15,044,485 ÷ 2 = 7,522,242.5

If the quotient is a whole number, then 2 and 7,522,242.5 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 15,044,485
-1 -15,044,485

Now, we try dividing 15,044,485 by 3:

15,044,485 ÷ 3 = 5,014,828.3333

If the quotient is a whole number, then 3 and 5,014,828.3333 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 15,044,485
-1 -15,044,485

Let's try dividing by 4:

15,044,485 ÷ 4 = 3,761,121.25

If the quotient is a whole number, then 4 and 3,761,121.25 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 15,044,485
-1 15,044,485
Keep dividing by the next highest number until you cannot divide anymore.

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

151995158,363791,8153,008,89715,044,485
-1-5-19-95-158,363-791,815-3,008,897-15,044,485

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 15,044,485:


Ask a Question