Q: What are the factor combinations of the number 96,943?

 A:
Positive:   1 x 969437 x 1384911 x 881377 x 1259
Negative: -1 x -96943-7 x -13849-11 x -8813-77 x -1259


How do I find the factor combinations of the number 96,943?

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 96,943, 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 96,943
-1 -96,943

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 96,943.

Example:
1 x 96,943 = 96,943
and
-1 x -96,943 = 96,943
Notice both answers equal 96,943

With that explanation out of the way, let's continue. Next, we take the number 96,943 and divide it by 2:

96,943 ÷ 2 = 48,471.5

If the quotient is a whole number, then 2 and 48,471.5 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 96,943
-1 -96,943

Now, we try dividing 96,943 by 3:

96,943 ÷ 3 = 32,314.3333

If the quotient is a whole number, then 3 and 32,314.3333 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 96,943
-1 -96,943

Let's try dividing by 4:

96,943 ÷ 4 = 24,235.75

If the quotient is a whole number, then 4 and 24,235.75 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 96,943
-1 96,943
Keep dividing by the next highest number until you cannot divide anymore.

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

1711771,2598,81313,84996,943
-1-7-11-77-1,259-8,813-13,849-96,943

More Examples

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