Q: What are the factor combinations of the number 80,040,565?

 A:
Positive:   1 x 800405655 x 1600811311 x 727641555 x 1455283149 x 537185745 x 1074371639 x 488358195 x 9767
Negative: -1 x -80040565-5 x -16008113-11 x -7276415-55 x -1455283-149 x -537185-745 x -107437-1639 x -48835-8195 x -9767


How do I find the factor combinations of the number 80,040,565?

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 80,040,565, 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 80,040,565
-1 -80,040,565

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 80,040,565.

Example:
1 x 80,040,565 = 80,040,565
and
-1 x -80,040,565 = 80,040,565
Notice both answers equal 80,040,565

With that explanation out of the way, let's continue. Next, we take the number 80,040,565 and divide it by 2:

80,040,565 ÷ 2 = 40,020,282.5

If the quotient is a whole number, then 2 and 40,020,282.5 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 80,040,565
-1 -80,040,565

Now, we try dividing 80,040,565 by 3:

80,040,565 ÷ 3 = 26,680,188.3333

If the quotient is a whole number, then 3 and 26,680,188.3333 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 80,040,565
-1 -80,040,565

Let's try dividing by 4:

80,040,565 ÷ 4 = 20,010,141.25

If the quotient is a whole number, then 4 and 20,010,141.25 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 80,040,565
-1 80,040,565
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551497451,6398,1959,76748,835107,437537,1851,455,2837,276,41516,008,11380,040,565
-1-5-11-55-149-745-1,639-8,195-9,767-48,835-107,437-537,185-1,455,283-7,276,415-16,008,113-80,040,565

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