Q: What are the factor combinations of the number 8,520,721?

 A:
Positive:   1 x 852072111 x 77461119 x 44845959 x 144419209 x 40769649 x 13129691 x 123311121 x 7601
Negative: -1 x -8520721-11 x -774611-19 x -448459-59 x -144419-209 x -40769-649 x -13129-691 x -12331-1121 x -7601


How do I find the factor combinations of the number 8,520,721?

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 8,520,721, 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 8,520,721
-1 -8,520,721

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 8,520,721.

Example:
1 x 8,520,721 = 8,520,721
and
-1 x -8,520,721 = 8,520,721
Notice both answers equal 8,520,721

With that explanation out of the way, let's continue. Next, we take the number 8,520,721 and divide it by 2:

8,520,721 ÷ 2 = 4,260,360.5

If the quotient is a whole number, then 2 and 4,260,360.5 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 8,520,721
-1 -8,520,721

Now, we try dividing 8,520,721 by 3:

8,520,721 ÷ 3 = 2,840,240.3333

If the quotient is a whole number, then 3 and 2,840,240.3333 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 8,520,721
-1 -8,520,721

Let's try dividing by 4:

8,520,721 ÷ 4 = 2,130,180.25

If the quotient is a whole number, then 4 and 2,130,180.25 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 8,520,721
-1 8,520,721
Keep dividing by the next highest number until you cannot divide anymore.

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

11119592096496911,1217,60112,33113,12940,769144,419448,459774,6118,520,721
-1-11-19-59-209-649-691-1,121-7,601-12,331-13,129-40,769-144,419-448,459-774,611-8,520,721

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 8,520,721:


Ask a Question