Q: What are the factor combinations of the number 124,224,055?

 A:
Positive:   1 x 1242240555 x 2484481141 x 302985547 x 2643065205 x 605971235 x 5286131927 x 644659635 x 12893
Negative: -1 x -124224055-5 x -24844811-41 x -3029855-47 x -2643065-205 x -605971-235 x -528613-1927 x -64465-9635 x -12893


How do I find the factor combinations of the number 124,224,055?

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 124,224,055, 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.

1 124,224,055
-1 -124,224,055

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 124,224,055.

Example:
1 x 124,224,055 = 124,224,055
and
-1 x -124,224,055 = 124,224,055
Notice both answers equal 124,224,055

With that explanation out of the way, let's continue. Next, we take the number 124,224,055 and divide it by 2:

124,224,055 ÷ 2 = 62,112,027.5

If the quotient is a whole number, then 2 and 62,112,027.5 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:

1 124,224,055
-1 -124,224,055

Now, we try dividing 124,224,055 by 3:

124,224,055 ÷ 3 = 41,408,018.3333

If the quotient is a whole number, then 3 and 41,408,018.3333 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:

1 124,224,055
-1 -124,224,055

Let's try dividing by 4:

124,224,055 ÷ 4 = 31,056,013.75

If the quotient is a whole number, then 4 and 31,056,013.75 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:

1 124,224,055
-1 124,224,055
Keep dividing by the next highest number until you cannot divide anymore.

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

1541472052351,9279,63512,89364,465528,613605,9712,643,0653,029,85524,844,811124,224,055
-1-5-41-47-205-235-1,927-9,635-12,893-64,465-528,613-605,971-2,643,065-3,029,855-24,844,811-124,224,055

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 124,224,055:


Ask a Question