Q: What are the factor combinations of the number 80,537,765?

 A:
Positive:   1 x 805377655 x 161075537 x 1150539511 x 732161535 x 230107955 x 146432377 x 1045945385 x 209189
Negative: -1 x -80537765-5 x -16107553-7 x -11505395-11 x -7321615-35 x -2301079-55 x -1464323-77 x -1045945-385 x -209189


How do I find the factor combinations of the number 80,537,765?

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 80,537,765, 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 80,537,765
-1 -80,537,765

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 80,537,765.

Example:
1 x 80,537,765 = 80,537,765
and
-1 x -80,537,765 = 80,537,765
Notice both answers equal 80,537,765

With that explanation out of the way, let's continue. Next, we take the number 80,537,765 and divide it by 2:

80,537,765 ÷ 2 = 40,268,882.5

If the quotient is a whole number, then 2 and 40,268,882.5 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 80,537,765
-1 -80,537,765

Now, we try dividing 80,537,765 by 3:

80,537,765 ÷ 3 = 26,845,921.6667

If the quotient is a whole number, then 3 and 26,845,921.6667 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 80,537,765
-1 -80,537,765

Let's try dividing by 4:

80,537,765 ÷ 4 = 20,134,441.25

If the quotient is a whole number, then 4 and 20,134,441.25 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 80,537,765
-1 80,537,765
Keep dividing by the next highest number until you cannot divide anymore.

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

15711355577385209,1891,045,9451,464,3232,301,0797,321,61511,505,39516,107,55380,537,765
-1-5-7-11-35-55-77-385-209,189-1,045,945-1,464,323-2,301,079-7,321,615-11,505,395-16,107,553-80,537,765

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