Q: What are the factor combinations of the number 80,575?

 A:
Positive:   1 x 805755 x 1611511 x 732525 x 322355 x 1465275 x 293
Negative: -1 x -80575-5 x -16115-11 x -7325-25 x -3223-55 x -1465-275 x -293


How do I find the factor combinations of the number 80,575?

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 80,575, 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 80,575
-1 -80,575

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 80,575.

Example:
1 x 80,575 = 80,575
and
-1 x -80,575 = 80,575
Notice both answers equal 80,575

With that explanation out of the way, let's continue. Next, we take the number 80,575 and divide it by 2:

80,575 ÷ 2 = 40,287.5

If the quotient is a whole number, then 2 and 40,287.5 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 80,575
-1 -80,575

Now, we try dividing 80,575 by 3:

80,575 ÷ 3 = 26,858.3333

If the quotient is a whole number, then 3 and 26,858.3333 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 80,575
-1 -80,575

Let's try dividing by 4:

80,575 ÷ 4 = 20,143.75

If the quotient is a whole number, then 4 and 20,143.75 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 80,575
-1 80,575
Keep dividing by the next highest number until you cannot divide anymore.

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

151125552752931,4653,2237,32516,11580,575
-1-5-11-25-55-275-293-1,465-3,223-7,325-16,115-80,575

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 80,575:


Ask a Question