Q: What are the factor combinations of the number 4,687,991?

 A:
Positive:   1 x 46879917 x 66971311 x 42618177 x 60883107 x 43813569 x 8239749 x 62591177 x 3983
Negative: -1 x -4687991-7 x -669713-11 x -426181-77 x -60883-107 x -43813-569 x -8239-749 x -6259-1177 x -3983


How do I find the factor combinations of the number 4,687,991?

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 4,687,991, 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 4,687,991
-1 -4,687,991

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 4,687,991.

Example:
1 x 4,687,991 = 4,687,991
and
-1 x -4,687,991 = 4,687,991
Notice both answers equal 4,687,991

With that explanation out of the way, let's continue. Next, we take the number 4,687,991 and divide it by 2:

4,687,991 ÷ 2 = 2,343,995.5

If the quotient is a whole number, then 2 and 2,343,995.5 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 4,687,991
-1 -4,687,991

Now, we try dividing 4,687,991 by 3:

4,687,991 ÷ 3 = 1,562,663.6667

If the quotient is a whole number, then 3 and 1,562,663.6667 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 4,687,991
-1 -4,687,991

Let's try dividing by 4:

4,687,991 ÷ 4 = 1,171,997.75

If the quotient is a whole number, then 4 and 1,171,997.75 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 4,687,991
-1 4,687,991
Keep dividing by the next highest number until you cannot divide anymore.

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

1711771075697491,1773,9836,2598,23943,81360,883426,181669,7134,687,991
-1-7-11-77-107-569-749-1,177-3,983-6,259-8,239-43,813-60,883-426,181-669,713-4,687,991

More Examples

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