Q: What are the factor combinations of the number 124,836,715?

 A:
Positive:   1 x 1248367155 x 24967343601 x 2077153005 x 41543
Negative: -1 x -124836715-5 x -24967343-601 x -207715-3005 x -41543


How do I find the factor combinations of the number 124,836,715?

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 124,836,715, 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.

1 124,836,715
-1 -124,836,715

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 124,836,715.

Example:
1 x 124,836,715 = 124,836,715
and
-1 x -124,836,715 = 124,836,715
Notice both answers equal 124,836,715

With that explanation out of the way, let's continue. Next, we take the number 124,836,715 and divide it by 2:

124,836,715 ÷ 2 = 62,418,357.5

If the quotient is a whole number, then 2 and 62,418,357.5 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:

1 124,836,715
-1 -124,836,715

Now, we try dividing 124,836,715 by 3:

124,836,715 ÷ 3 = 41,612,238.3333

If the quotient is a whole number, then 3 and 41,612,238.3333 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:

1 124,836,715
-1 -124,836,715

Let's try dividing by 4:

124,836,715 ÷ 4 = 31,209,178.75

If the quotient is a whole number, then 4 and 31,209,178.75 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:

1 124,836,715
-1 124,836,715
Keep dividing by the next highest number until you cannot divide anymore.

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

156013,00541,543207,71524,967,343124,836,715
-1-5-601-3,005-41,543-207,715-24,967,343-124,836,715

More Examples

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