Q: What are the factor combinations of the number 9,700,559?

 A:
Positive:   1 x 970055911 x 88186941 x 236599137 x 70807157 x 61787451 x 215091507 x 64371727 x 5617
Negative: -1 x -9700559-11 x -881869-41 x -236599-137 x -70807-157 x -61787-451 x -21509-1507 x -6437-1727 x -5617


How do I find the factor combinations of the number 9,700,559?

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 9,700,559, 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 9,700,559
-1 -9,700,559

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 9,700,559.

Example:
1 x 9,700,559 = 9,700,559
and
-1 x -9,700,559 = 9,700,559
Notice both answers equal 9,700,559

With that explanation out of the way, let's continue. Next, we take the number 9,700,559 and divide it by 2:

9,700,559 ÷ 2 = 4,850,279.5

If the quotient is a whole number, then 2 and 4,850,279.5 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 9,700,559
-1 -9,700,559

Now, we try dividing 9,700,559 by 3:

9,700,559 ÷ 3 = 3,233,519.6667

If the quotient is a whole number, then 3 and 3,233,519.6667 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 9,700,559
-1 -9,700,559

Let's try dividing by 4:

9,700,559 ÷ 4 = 2,425,139.75

If the quotient is a whole number, then 4 and 2,425,139.75 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 9,700,559
-1 9,700,559
Keep dividing by the next highest number until you cannot divide anymore.

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

111411371574511,5071,7275,6176,43721,50961,78770,807236,599881,8699,700,559
-1-11-41-137-157-451-1,507-1,727-5,617-6,437-21,509-61,787-70,807-236,599-881,869-9,700,559

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 9,700,559:


Ask a Question