Q: What are the factor combinations of the number 7,986,499?

 A:
Positive:   1 x 798649931 x 257629241 x 331391069 x 7471
Negative: -1 x -7986499-31 x -257629-241 x -33139-1069 x -7471


How do I find the factor combinations of the number 7,986,499?

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 7,986,499, 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 7,986,499
-1 -7,986,499

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 7,986,499.

Example:
1 x 7,986,499 = 7,986,499
and
-1 x -7,986,499 = 7,986,499
Notice both answers equal 7,986,499

With that explanation out of the way, let's continue. Next, we take the number 7,986,499 and divide it by 2:

7,986,499 ÷ 2 = 3,993,249.5

If the quotient is a whole number, then 2 and 3,993,249.5 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 7,986,499
-1 -7,986,499

Now, we try dividing 7,986,499 by 3:

7,986,499 ÷ 3 = 2,662,166.3333

If the quotient is a whole number, then 3 and 2,662,166.3333 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 7,986,499
-1 -7,986,499

Let's try dividing by 4:

7,986,499 ÷ 4 = 1,996,624.75

If the quotient is a whole number, then 4 and 1,996,624.75 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 7,986,499
-1 7,986,499
Keep dividing by the next highest number until you cannot divide anymore.

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

1312411,0697,47133,139257,6297,986,499
-1-31-241-1,069-7,471-33,139-257,629-7,986,499

More Examples

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