Q: What are the factor combinations of the number 9,227,471?

 A:
Positive:   1 x 922747111 x 838861397 x 232432113 x 4367
Negative: -1 x -9227471-11 x -838861-397 x -23243-2113 x -4367


How do I find the factor combinations of the number 9,227,471?

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 9,227,471, 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 9,227,471
-1 -9,227,471

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 9,227,471.

Example:
1 x 9,227,471 = 9,227,471
and
-1 x -9,227,471 = 9,227,471
Notice both answers equal 9,227,471

With that explanation out of the way, let's continue. Next, we take the number 9,227,471 and divide it by 2:

9,227,471 ÷ 2 = 4,613,735.5

If the quotient is a whole number, then 2 and 4,613,735.5 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 9,227,471
-1 -9,227,471

Now, we try dividing 9,227,471 by 3:

9,227,471 ÷ 3 = 3,075,823.6667

If the quotient is a whole number, then 3 and 3,075,823.6667 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 9,227,471
-1 -9,227,471

Let's try dividing by 4:

9,227,471 ÷ 4 = 2,306,867.75

If the quotient is a whole number, then 4 and 2,306,867.75 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 9,227,471
-1 9,227,471
Keep dividing by the next highest number until you cannot divide anymore.

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

1113972,1134,36723,243838,8619,227,471
-1-11-397-2,113-4,367-23,243-838,861-9,227,471

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 9,227,471:


Ask a Question