Q: What are the factor combinations of the number 124,070,267?

 A:
Positive:   1 x 12407026717 x 72982511987 x 624413673 x 33779
Negative: -1 x -124070267-17 x -7298251-1987 x -62441-3673 x -33779


How do I find the factor combinations of the number 124,070,267?

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 124,070,267, 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.

1 124,070,267
-1 -124,070,267

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 124,070,267.

Example:
1 x 124,070,267 = 124,070,267
and
-1 x -124,070,267 = 124,070,267
Notice both answers equal 124,070,267

With that explanation out of the way, let's continue. Next, we take the number 124,070,267 and divide it by 2:

124,070,267 ÷ 2 = 62,035,133.5

If the quotient is a whole number, then 2 and 62,035,133.5 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:

1 124,070,267
-1 -124,070,267

Now, we try dividing 124,070,267 by 3:

124,070,267 ÷ 3 = 41,356,755.6667

If the quotient is a whole number, then 3 and 41,356,755.6667 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:

1 124,070,267
-1 -124,070,267

Let's try dividing by 4:

124,070,267 ÷ 4 = 31,017,566.75

If the quotient is a whole number, then 4 and 31,017,566.75 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:

1 124,070,267
-1 124,070,267
Keep dividing by the next highest number until you cannot divide anymore.

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

1171,9873,67333,77962,4417,298,251124,070,267
-1-17-1,987-3,673-33,779-62,441-7,298,251-124,070,267

More Examples

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