Q: What are the factor combinations of the number 972,985?

 A:
Positive:   1 x 9729855 x 19459713 x 7484565 x 14969
Negative: -1 x -972985-5 x -194597-13 x -74845-65 x -14969


How do I find the factor combinations of the number 972,985?

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 972,985, 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.

1 972,985
-1 -972,985

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 972,985.

Example:
1 x 972,985 = 972,985
and
-1 x -972,985 = 972,985
Notice both answers equal 972,985

With that explanation out of the way, let's continue. Next, we take the number 972,985 and divide it by 2:

972,985 ÷ 2 = 486,492.5

If the quotient is a whole number, then 2 and 486,492.5 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:

1 972,985
-1 -972,985

Now, we try dividing 972,985 by 3:

972,985 ÷ 3 = 324,328.3333

If the quotient is a whole number, then 3 and 324,328.3333 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:

1 972,985
-1 -972,985

Let's try dividing by 4:

972,985 ÷ 4 = 243,246.25

If the quotient is a whole number, then 4 and 243,246.25 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:

1 972,985
-1 972,985
Keep dividing by the next highest number until you cannot divide anymore.

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

15136514,96974,845194,597972,985
-1-5-13-65-14,969-74,845-194,597-972,985

More Examples

Here are some more numbers to try:

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