Q: What are the factor combinations of the number 124,510,355?

 A:
Positive:   1 x 1245103555 x 2490207159 x 2110345295 x 422069
Negative: -1 x -124510355-5 x -24902071-59 x -2110345-295 x -422069


How do I find the factor combinations of the number 124,510,355?

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 124,510,355, 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.

1 124,510,355
-1 -124,510,355

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 124,510,355.

Example:
1 x 124,510,355 = 124,510,355
and
-1 x -124,510,355 = 124,510,355
Notice both answers equal 124,510,355

With that explanation out of the way, let's continue. Next, we take the number 124,510,355 and divide it by 2:

124,510,355 ÷ 2 = 62,255,177.5

If the quotient is a whole number, then 2 and 62,255,177.5 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:

1 124,510,355
-1 -124,510,355

Now, we try dividing 124,510,355 by 3:

124,510,355 ÷ 3 = 41,503,451.6667

If the quotient is a whole number, then 3 and 41,503,451.6667 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:

1 124,510,355
-1 -124,510,355

Let's try dividing by 4:

124,510,355 ÷ 4 = 31,127,588.75

If the quotient is a whole number, then 4 and 31,127,588.75 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:

1 124,510,355
-1 124,510,355
Keep dividing by the next highest number until you cannot divide anymore.

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

1559295422,0692,110,34524,902,071124,510,355
-1-5-59-295-422,069-2,110,345-24,902,071-124,510,355

More Examples

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