Q: What are the factor combinations of the number 9,005,059?

 A:
Positive:   1 x 90050597 x 128643747 x 191597101 x 89159271 x 33229329 x 27371707 x 127371897 x 4747
Negative: -1 x -9005059-7 x -1286437-47 x -191597-101 x -89159-271 x -33229-329 x -27371-707 x -12737-1897 x -4747


How do I find the factor combinations of the number 9,005,059?

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 9,005,059, 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 9,005,059
-1 -9,005,059

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 9,005,059.

Example:
1 x 9,005,059 = 9,005,059
and
-1 x -9,005,059 = 9,005,059
Notice both answers equal 9,005,059

With that explanation out of the way, let's continue. Next, we take the number 9,005,059 and divide it by 2:

9,005,059 ÷ 2 = 4,502,529.5

If the quotient is a whole number, then 2 and 4,502,529.5 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 9,005,059
-1 -9,005,059

Now, we try dividing 9,005,059 by 3:

9,005,059 ÷ 3 = 3,001,686.3333

If the quotient is a whole number, then 3 and 3,001,686.3333 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 9,005,059
-1 -9,005,059

Let's try dividing by 4:

9,005,059 ÷ 4 = 2,251,264.75

If the quotient is a whole number, then 4 and 2,251,264.75 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 9,005,059
-1 9,005,059
Keep dividing by the next highest number until you cannot divide anymore.

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

17471012713297071,8974,74712,73727,37133,22989,159191,5971,286,4379,005,059
-1-7-47-101-271-329-707-1,897-4,747-12,737-27,371-33,229-89,159-191,597-1,286,437-9,005,059

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 9,005,059:


Ask a Question