Q: What are the factor combinations of the number 124,416,425?

 A:
Positive:   1 x 1244164255 x 248832857 x 1777377525 x 497665735 x 3554755175 x 710951
Negative: -1 x -124416425-5 x -24883285-7 x -17773775-25 x -4976657-35 x -3554755-175 x -710951


How do I find the factor combinations of the number 124,416,425?

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 124,416,425, 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.

1 124,416,425
-1 -124,416,425

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 124,416,425.

Example:
1 x 124,416,425 = 124,416,425
and
-1 x -124,416,425 = 124,416,425
Notice both answers equal 124,416,425

With that explanation out of the way, let's continue. Next, we take the number 124,416,425 and divide it by 2:

124,416,425 ÷ 2 = 62,208,212.5

If the quotient is a whole number, then 2 and 62,208,212.5 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:

1 124,416,425
-1 -124,416,425

Now, we try dividing 124,416,425 by 3:

124,416,425 ÷ 3 = 41,472,141.6667

If the quotient is a whole number, then 3 and 41,472,141.6667 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:

1 124,416,425
-1 -124,416,425

Let's try dividing by 4:

124,416,425 ÷ 4 = 31,104,106.25

If the quotient is a whole number, then 4 and 31,104,106.25 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:

1 124,416,425
-1 124,416,425
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535175710,9513,554,7554,976,65717,773,77524,883,285124,416,425
-1-5-7-25-35-175-710,951-3,554,755-4,976,657-17,773,775-24,883,285-124,416,425

More Examples

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