Q: What are the factor combinations of the number 9,271,717?

 A:
Positive:   1 x 92717177 x 132453113 x 71320991 x 101887139 x 66703733 x 12649973 x 95291807 x 5131
Negative: -1 x -9271717-7 x -1324531-13 x -713209-91 x -101887-139 x -66703-733 x -12649-973 x -9529-1807 x -5131


How do I find the factor combinations of the number 9,271,717?

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 9,271,717, 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 9,271,717
-1 -9,271,717

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 9,271,717.

Example:
1 x 9,271,717 = 9,271,717
and
-1 x -9,271,717 = 9,271,717
Notice both answers equal 9,271,717

With that explanation out of the way, let's continue. Next, we take the number 9,271,717 and divide it by 2:

9,271,717 ÷ 2 = 4,635,858.5

If the quotient is a whole number, then 2 and 4,635,858.5 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 9,271,717
-1 -9,271,717

Now, we try dividing 9,271,717 by 3:

9,271,717 ÷ 3 = 3,090,572.3333

If the quotient is a whole number, then 3 and 3,090,572.3333 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 9,271,717
-1 -9,271,717

Let's try dividing by 4:

9,271,717 ÷ 4 = 2,317,929.25

If the quotient is a whole number, then 4 and 2,317,929.25 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 9,271,717
-1 9,271,717
Keep dividing by the next highest number until you cannot divide anymore.

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

1713911397339731,8075,1319,52912,64966,703101,887713,2091,324,5319,271,717
-1-7-13-91-139-733-973-1,807-5,131-9,529-12,649-66,703-101,887-713,209-1,324,531-9,271,717

More Examples

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