Q: What are the factor combinations of the number 80,002,757?

 A:
Positive:   1 x 8000275767 x 1194071113 x 7079897571 x 10567
Negative: -1 x -80002757-67 x -1194071-113 x -707989-7571 x -10567


How do I find the factor combinations of the number 80,002,757?

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 80,002,757, 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 80,002,757
-1 -80,002,757

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 80,002,757.

Example:
1 x 80,002,757 = 80,002,757
and
-1 x -80,002,757 = 80,002,757
Notice both answers equal 80,002,757

With that explanation out of the way, let's continue. Next, we take the number 80,002,757 and divide it by 2:

80,002,757 ÷ 2 = 40,001,378.5

If the quotient is a whole number, then 2 and 40,001,378.5 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 80,002,757
-1 -80,002,757

Now, we try dividing 80,002,757 by 3:

80,002,757 ÷ 3 = 26,667,585.6667

If the quotient is a whole number, then 3 and 26,667,585.6667 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 80,002,757
-1 -80,002,757

Let's try dividing by 4:

80,002,757 ÷ 4 = 20,000,689.25

If the quotient is a whole number, then 4 and 20,000,689.25 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 80,002,757
-1 80,002,757
Keep dividing by the next highest number until you cannot divide anymore.

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

1671137,57110,567707,9891,194,07180,002,757
-1-67-113-7,571-10,567-707,989-1,194,071-80,002,757

More Examples

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