Q: What are the factor combinations of the number 87,395?

 A:
Positive:   1 x 873955 x 174797 x 1248511 x 794535 x 249755 x 158977 x 1135227 x 385
Negative: -1 x -87395-5 x -17479-7 x -12485-11 x -7945-35 x -2497-55 x -1589-77 x -1135-227 x -385


How do I find the factor combinations of the number 87,395?

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 87,395, 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 87,395
-1 -87,395

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 87,395.

Example:
1 x 87,395 = 87,395
and
-1 x -87,395 = 87,395
Notice both answers equal 87,395

With that explanation out of the way, let's continue. Next, we take the number 87,395 and divide it by 2:

87,395 ÷ 2 = 43,697.5

If the quotient is a whole number, then 2 and 43,697.5 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 87,395
-1 -87,395

Now, we try dividing 87,395 by 3:

87,395 ÷ 3 = 29,131.6667

If the quotient is a whole number, then 3 and 29,131.6667 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 87,395
-1 -87,395

Let's try dividing by 4:

87,395 ÷ 4 = 21,848.75

If the quotient is a whole number, then 4 and 21,848.75 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 87,395
-1 87,395
Keep dividing by the next highest number until you cannot divide anymore.

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

157113555772273851,1351,5892,4977,94512,48517,47987,395
-1-5-7-11-35-55-77-227-385-1,135-1,589-2,497-7,945-12,485-17,479-87,395

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