Q: What are the factor combinations of the number 9,724,979?

 A:
Positive:   1 x 972497911 x 88408919 x 51184131 x 31370979 x 123101209 x 46531341 x 28519361 x 26939589 x 16511869 x 111911501 x 64792449 x 3971
Negative: -1 x -9724979-11 x -884089-19 x -511841-31 x -313709-79 x -123101-209 x -46531-341 x -28519-361 x -26939-589 x -16511-869 x -11191-1501 x -6479-2449 x -3971


How do I find the factor combinations of the number 9,724,979?

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 9,724,979, 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 9,724,979
-1 -9,724,979

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 9,724,979.

Example:
1 x 9,724,979 = 9,724,979
and
-1 x -9,724,979 = 9,724,979
Notice both answers equal 9,724,979

With that explanation out of the way, let's continue. Next, we take the number 9,724,979 and divide it by 2:

9,724,979 ÷ 2 = 4,862,489.5

If the quotient is a whole number, then 2 and 4,862,489.5 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 9,724,979
-1 -9,724,979

Now, we try dividing 9,724,979 by 3:

9,724,979 ÷ 3 = 3,241,659.6667

If the quotient is a whole number, then 3 and 3,241,659.6667 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 9,724,979
-1 -9,724,979

Let's try dividing by 4:

9,724,979 ÷ 4 = 2,431,244.75

If the quotient is a whole number, then 4 and 2,431,244.75 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 9,724,979
-1 9,724,979
Keep dividing by the next highest number until you cannot divide anymore.

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

1111931792093413615898691,5012,4493,9716,47911,19116,51126,93928,51946,531123,101313,709511,841884,0899,724,979
-1-11-19-31-79-209-341-361-589-869-1,501-2,449-3,971-6,479-11,191-16,511-26,939-28,519-46,531-123,101-313,709-511,841-884,089-9,724,979

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 9,724,979:


Ask a Question