Q: What are the factor combinations of the number 45,508,477?

 A:
Positive:   1 x 455084777 x 650121119 x 239518367 x 679231133 x 342169469 x 970331273 x 357495107 x 8911
Negative: -1 x -45508477-7 x -6501211-19 x -2395183-67 x -679231-133 x -342169-469 x -97033-1273 x -35749-5107 x -8911


How do I find the factor combinations of the number 45,508,477?

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 45,508,477, 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 45,508,477
-1 -45,508,477

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 45,508,477.

Example:
1 x 45,508,477 = 45,508,477
and
-1 x -45,508,477 = 45,508,477
Notice both answers equal 45,508,477

With that explanation out of the way, let's continue. Next, we take the number 45,508,477 and divide it by 2:

45,508,477 ÷ 2 = 22,754,238.5

If the quotient is a whole number, then 2 and 22,754,238.5 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 45,508,477
-1 -45,508,477

Now, we try dividing 45,508,477 by 3:

45,508,477 ÷ 3 = 15,169,492.3333

If the quotient is a whole number, then 3 and 15,169,492.3333 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 45,508,477
-1 -45,508,477

Let's try dividing by 4:

45,508,477 ÷ 4 = 11,377,119.25

If the quotient is a whole number, then 4 and 11,377,119.25 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 45,508,477
-1 45,508,477
Keep dividing by the next highest number until you cannot divide anymore.

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

1719671334691,2735,1078,91135,74997,033342,169679,2312,395,1836,501,21145,508,477
-1-7-19-67-133-469-1,273-5,107-8,911-35,749-97,033-342,169-679,231-2,395,183-6,501,211-45,508,477

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 45,508,477:


Ask a Question