Q: What are the factor combinations of the number 88,795?

 A:
Positive:   1 x 887955 x 177597 x 1268535 x 253743 x 206559 x 1505215 x 413295 x 301
Negative: -1 x -88795-5 x -17759-7 x -12685-35 x -2537-43 x -2065-59 x -1505-215 x -413-295 x -301


How do I find the factor combinations of the number 88,795?

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 88,795, 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 88,795
-1 -88,795

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 88,795.

Example:
1 x 88,795 = 88,795
and
-1 x -88,795 = 88,795
Notice both answers equal 88,795

With that explanation out of the way, let's continue. Next, we take the number 88,795 and divide it by 2:

88,795 ÷ 2 = 44,397.5

If the quotient is a whole number, then 2 and 44,397.5 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 88,795
-1 -88,795

Now, we try dividing 88,795 by 3:

88,795 ÷ 3 = 29,598.3333

If the quotient is a whole number, then 3 and 29,598.3333 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 88,795
-1 -88,795

Let's try dividing by 4:

88,795 ÷ 4 = 22,198.75

If the quotient is a whole number, then 4 and 22,198.75 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 88,795
-1 88,795
Keep dividing by the next highest number until you cannot divide anymore.

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

1573543592152953014131,5052,0652,53712,68517,75988,795
-1-5-7-35-43-59-215-295-301-413-1,505-2,065-2,537-12,685-17,759-88,795

More Examples

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