Q: What are the factor combinations of the number 9,917,479?

 A:
Positive:   1 x 991747911 x 90158913 x 762883143 x 69353223 x 44473311 x 318892453 x 40432899 x 3421
Negative: -1 x -9917479-11 x -901589-13 x -762883-143 x -69353-223 x -44473-311 x -31889-2453 x -4043-2899 x -3421


How do I find the factor combinations of the number 9,917,479?

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 9,917,479, 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 9,917,479
-1 -9,917,479

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 9,917,479.

Example:
1 x 9,917,479 = 9,917,479
and
-1 x -9,917,479 = 9,917,479
Notice both answers equal 9,917,479

With that explanation out of the way, let's continue. Next, we take the number 9,917,479 and divide it by 2:

9,917,479 ÷ 2 = 4,958,739.5

If the quotient is a whole number, then 2 and 4,958,739.5 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 9,917,479
-1 -9,917,479

Now, we try dividing 9,917,479 by 3:

9,917,479 ÷ 3 = 3,305,826.3333

If the quotient is a whole number, then 3 and 3,305,826.3333 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 9,917,479
-1 -9,917,479

Let's try dividing by 4:

9,917,479 ÷ 4 = 2,479,369.75

If the quotient is a whole number, then 4 and 2,479,369.75 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 9,917,479
-1 9,917,479
Keep dividing by the next highest number until you cannot divide anymore.

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

111131432233112,4532,8993,4214,04331,88944,47369,353762,883901,5899,917,479
-1-11-13-143-223-311-2,453-2,899-3,421-4,043-31,889-44,473-69,353-762,883-901,589-9,917,479

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 9,917,479:


Ask a Question