Q: What are the factor combinations of the number 7,982,375?

 A:
Positive:   1 x 79823755 x 159647519 x 42012525 x 31929595 x 84025125 x 63859475 x 168052375 x 3361
Negative: -1 x -7982375-5 x -1596475-19 x -420125-25 x -319295-95 x -84025-125 x -63859-475 x -16805-2375 x -3361


How do I find the factor combinations of the number 7,982,375?

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 7,982,375, 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 7,982,375
-1 -7,982,375

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 7,982,375.

Example:
1 x 7,982,375 = 7,982,375
and
-1 x -7,982,375 = 7,982,375
Notice both answers equal 7,982,375

With that explanation out of the way, let's continue. Next, we take the number 7,982,375 and divide it by 2:

7,982,375 ÷ 2 = 3,991,187.5

If the quotient is a whole number, then 2 and 3,991,187.5 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 7,982,375
-1 -7,982,375

Now, we try dividing 7,982,375 by 3:

7,982,375 ÷ 3 = 2,660,791.6667

If the quotient is a whole number, then 3 and 2,660,791.6667 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 7,982,375
-1 -7,982,375

Let's try dividing by 4:

7,982,375 ÷ 4 = 1,995,593.75

If the quotient is a whole number, then 4 and 1,995,593.75 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 7,982,375
-1 7,982,375
Keep dividing by the next highest number until you cannot divide anymore.

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

151925951254752,3753,36116,80563,85984,025319,295420,1251,596,4757,982,375
-1-5-19-25-95-125-475-2,375-3,361-16,805-63,859-84,025-319,295-420,125-1,596,475-7,982,375

More Examples

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