Q: What are the factor combinations of the number 96,577?

 A:
Positive:   1 x 9657713 x 742917 x 568119 x 508323 x 4199221 x 437247 x 391299 x 323
Negative: -1 x -96577-13 x -7429-17 x -5681-19 x -5083-23 x -4199-221 x -437-247 x -391-299 x -323


How do I find the factor combinations of the number 96,577?

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 96,577, 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 96,577
-1 -96,577

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 96,577.

Example:
1 x 96,577 = 96,577
and
-1 x -96,577 = 96,577
Notice both answers equal 96,577

With that explanation out of the way, let's continue. Next, we take the number 96,577 and divide it by 2:

96,577 ÷ 2 = 48,288.5

If the quotient is a whole number, then 2 and 48,288.5 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 96,577
-1 -96,577

Now, we try dividing 96,577 by 3:

96,577 ÷ 3 = 32,192.3333

If the quotient is a whole number, then 3 and 32,192.3333 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 96,577
-1 -96,577

Let's try dividing by 4:

96,577 ÷ 4 = 24,144.25

If the quotient is a whole number, then 4 and 24,144.25 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 96,577
-1 96,577
Keep dividing by the next highest number until you cannot divide anymore.

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

1131719232212472993233914374,1995,0835,6817,42996,577
-1-13-17-19-23-221-247-299-323-391-437-4,199-5,083-5,681-7,429-96,577

More Examples

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