Q: What are the factor combinations of the number 975,937?

 A:
Positive:   1 x 97593729 x 3365373 x 13369461 x 2117
Negative: -1 x -975937-29 x -33653-73 x -13369-461 x -2117


How do I find the factor combinations of the number 975,937?

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 975,937, 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.

1 975,937
-1 -975,937

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 975,937.

Example:
1 x 975,937 = 975,937
and
-1 x -975,937 = 975,937
Notice both answers equal 975,937

With that explanation out of the way, let's continue. Next, we take the number 975,937 and divide it by 2:

975,937 ÷ 2 = 487,968.5

If the quotient is a whole number, then 2 and 487,968.5 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:

1 975,937
-1 -975,937

Now, we try dividing 975,937 by 3:

975,937 ÷ 3 = 325,312.3333

If the quotient is a whole number, then 3 and 325,312.3333 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:

1 975,937
-1 -975,937

Let's try dividing by 4:

975,937 ÷ 4 = 243,984.25

If the quotient is a whole number, then 4 and 243,984.25 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:

1 975,937
-1 975,937
Keep dividing by the next highest number until you cannot divide anymore.

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

129734612,11713,36933,653975,937
-1-29-73-461-2,117-13,369-33,653-975,937

More Examples

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