Q: What are the factor combinations of the number 97,382,383?

 A:
Positive:   1 x 973823837 x 13911769113 x 861791791 x 123113
Negative: -1 x -97382383-7 x -13911769-113 x -861791-791 x -123113


How do I find the factor combinations of the number 97,382,383?

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 97,382,383, 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 97,382,383
-1 -97,382,383

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 97,382,383.

Example:
1 x 97,382,383 = 97,382,383
and
-1 x -97,382,383 = 97,382,383
Notice both answers equal 97,382,383

With that explanation out of the way, let's continue. Next, we take the number 97,382,383 and divide it by 2:

97,382,383 ÷ 2 = 48,691,191.5

If the quotient is a whole number, then 2 and 48,691,191.5 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 97,382,383
-1 -97,382,383

Now, we try dividing 97,382,383 by 3:

97,382,383 ÷ 3 = 32,460,794.3333

If the quotient is a whole number, then 3 and 32,460,794.3333 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 97,382,383
-1 -97,382,383

Let's try dividing by 4:

97,382,383 ÷ 4 = 24,345,595.75

If the quotient is a whole number, then 4 and 24,345,595.75 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 97,382,383
-1 97,382,383
Keep dividing by the next highest number until you cannot divide anymore.

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

17113791123,113861,79113,911,76997,382,383
-1-7-113-791-123,113-861,791-13,911,769-97,382,383

More Examples

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