Q: What are the factor combinations of the number 52,442,135?

 A:
Positive:   1 x 524421355 x 1048842737 x 1417355185 x 283471257 x 2040551103 x 475451285 x 408115515 x 9509
Negative: -1 x -52442135-5 x -10488427-37 x -1417355-185 x -283471-257 x -204055-1103 x -47545-1285 x -40811-5515 x -9509


How do I find the factor combinations of the number 52,442,135?

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 52,442,135, 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 52,442,135
-1 -52,442,135

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 52,442,135.

Example:
1 x 52,442,135 = 52,442,135
and
-1 x -52,442,135 = 52,442,135
Notice both answers equal 52,442,135

With that explanation out of the way, let's continue. Next, we take the number 52,442,135 and divide it by 2:

52,442,135 ÷ 2 = 26,221,067.5

If the quotient is a whole number, then 2 and 26,221,067.5 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 52,442,135
-1 -52,442,135

Now, we try dividing 52,442,135 by 3:

52,442,135 ÷ 3 = 17,480,711.6667

If the quotient is a whole number, then 3 and 17,480,711.6667 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 52,442,135
-1 -52,442,135

Let's try dividing by 4:

52,442,135 ÷ 4 = 13,110,533.75

If the quotient is a whole number, then 4 and 13,110,533.75 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 52,442,135
-1 52,442,135
Keep dividing by the next highest number until you cannot divide anymore.

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

15371852571,1031,2855,5159,50940,81147,545204,055283,4711,417,35510,488,42752,442,135
-1-5-37-185-257-1,103-1,285-5,515-9,509-40,811-47,545-204,055-283,471-1,417,355-10,488,427-52,442,135

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 52,442,135:


Ask a Question