Q: What are the factor combinations of the number 124,111,355?

 A:
Positive:   1 x 1241113555 x 24822271739 x 1679453695 x 33589
Negative: -1 x -124111355-5 x -24822271-739 x -167945-3695 x -33589


How do I find the factor combinations of the number 124,111,355?

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 124,111,355, 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.

1 124,111,355
-1 -124,111,355

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 124,111,355.

Example:
1 x 124,111,355 = 124,111,355
and
-1 x -124,111,355 = 124,111,355
Notice both answers equal 124,111,355

With that explanation out of the way, let's continue. Next, we take the number 124,111,355 and divide it by 2:

124,111,355 ÷ 2 = 62,055,677.5

If the quotient is a whole number, then 2 and 62,055,677.5 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:

1 124,111,355
-1 -124,111,355

Now, we try dividing 124,111,355 by 3:

124,111,355 ÷ 3 = 41,370,451.6667

If the quotient is a whole number, then 3 and 41,370,451.6667 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:

1 124,111,355
-1 -124,111,355

Let's try dividing by 4:

124,111,355 ÷ 4 = 31,027,838.75

If the quotient is a whole number, then 4 and 31,027,838.75 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:

1 124,111,355
-1 124,111,355
Keep dividing by the next highest number until you cannot divide anymore.

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

157393,69533,589167,94524,822,271124,111,355
-1-5-739-3,695-33,589-167,945-24,822,271-124,111,355

More Examples

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