Q: What are the factor combinations of the number 15,449,045?

 A:
Positive:   1 x 154490455 x 3089809353 x 437651765 x 8753
Negative: -1 x -15449045-5 x -3089809-353 x -43765-1765 x -8753


How do I find the factor combinations of the number 15,449,045?

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 15,449,045, 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 15,449,045
-1 -15,449,045

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 15,449,045.

Example:
1 x 15,449,045 = 15,449,045
and
-1 x -15,449,045 = 15,449,045
Notice both answers equal 15,449,045

With that explanation out of the way, let's continue. Next, we take the number 15,449,045 and divide it by 2:

15,449,045 ÷ 2 = 7,724,522.5

If the quotient is a whole number, then 2 and 7,724,522.5 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 15,449,045
-1 -15,449,045

Now, we try dividing 15,449,045 by 3:

15,449,045 ÷ 3 = 5,149,681.6667

If the quotient is a whole number, then 3 and 5,149,681.6667 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 15,449,045
-1 -15,449,045

Let's try dividing by 4:

15,449,045 ÷ 4 = 3,862,261.25

If the quotient is a whole number, then 4 and 3,862,261.25 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 15,449,045
-1 15,449,045
Keep dividing by the next highest number until you cannot divide anymore.

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

153531,7658,75343,7653,089,80915,449,045
-1-5-353-1,765-8,753-43,765-3,089,809-15,449,045

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 15,449,045:


Ask a Question