Q: What are the factor combinations of the number 79,694,125?

 A:
Positive:   1 x 796941255 x 159388257 x 1138487525 x 318776535 x 2276975125 x 637553175 x 455395875 x 91079
Negative: -1 x -79694125-5 x -15938825-7 x -11384875-25 x -3187765-35 x -2276975-125 x -637553-175 x -455395-875 x -91079


How do I find the factor combinations of the number 79,694,125?

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 79,694,125, 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 79,694,125
-1 -79,694,125

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 79,694,125.

Example:
1 x 79,694,125 = 79,694,125
and
-1 x -79,694,125 = 79,694,125
Notice both answers equal 79,694,125

With that explanation out of the way, let's continue. Next, we take the number 79,694,125 and divide it by 2:

79,694,125 ÷ 2 = 39,847,062.5

If the quotient is a whole number, then 2 and 39,847,062.5 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 79,694,125
-1 -79,694,125

Now, we try dividing 79,694,125 by 3:

79,694,125 ÷ 3 = 26,564,708.3333

If the quotient is a whole number, then 3 and 26,564,708.3333 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 79,694,125
-1 -79,694,125

Let's try dividing by 4:

79,694,125 ÷ 4 = 19,923,531.25

If the quotient is a whole number, then 4 and 19,923,531.25 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 79,694,125
-1 79,694,125
Keep dividing by the next highest number until you cannot divide anymore.

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

157253512517587591,079455,395637,5532,276,9753,187,76511,384,87515,938,82579,694,125
-1-5-7-25-35-125-175-875-91,079-455,395-637,553-2,276,975-3,187,765-11,384,875-15,938,825-79,694,125

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