Q: What are the factor combinations of the number 9,247,021?

 A:
Positive:   1 x 92470217 x 132100331 x 29829143 x 215047217 x 42613301 x 30721991 x 93311333 x 6937
Negative: -1 x -9247021-7 x -1321003-31 x -298291-43 x -215047-217 x -42613-301 x -30721-991 x -9331-1333 x -6937


How do I find the factor combinations of the number 9,247,021?

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 9,247,021, 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 9,247,021
-1 -9,247,021

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 9,247,021.

Example:
1 x 9,247,021 = 9,247,021
and
-1 x -9,247,021 = 9,247,021
Notice both answers equal 9,247,021

With that explanation out of the way, let's continue. Next, we take the number 9,247,021 and divide it by 2:

9,247,021 ÷ 2 = 4,623,510.5

If the quotient is a whole number, then 2 and 4,623,510.5 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 9,247,021
-1 -9,247,021

Now, we try dividing 9,247,021 by 3:

9,247,021 ÷ 3 = 3,082,340.3333

If the quotient is a whole number, then 3 and 3,082,340.3333 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 9,247,021
-1 -9,247,021

Let's try dividing by 4:

9,247,021 ÷ 4 = 2,311,755.25

If the quotient is a whole number, then 4 and 2,311,755.25 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 9,247,021
-1 9,247,021
Keep dividing by the next highest number until you cannot divide anymore.

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

1731432173019911,3336,9379,33130,72142,613215,047298,2911,321,0039,247,021
-1-7-31-43-217-301-991-1,333-6,937-9,331-30,721-42,613-215,047-298,291-1,321,003-9,247,021

More Examples

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