Q: What are the factor combinations of the number 80,970,395?

 A:
Positive:   1 x 809703955 x 1619407911 x 736094555 x 1472189157 x 515735785 x 1031471727 x 468858635 x 9377
Negative: -1 x -80970395-5 x -16194079-11 x -7360945-55 x -1472189-157 x -515735-785 x -103147-1727 x -46885-8635 x -9377


How do I find the factor combinations of the number 80,970,395?

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 80,970,395, 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 80,970,395
-1 -80,970,395

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 80,970,395.

Example:
1 x 80,970,395 = 80,970,395
and
-1 x -80,970,395 = 80,970,395
Notice both answers equal 80,970,395

With that explanation out of the way, let's continue. Next, we take the number 80,970,395 and divide it by 2:

80,970,395 ÷ 2 = 40,485,197.5

If the quotient is a whole number, then 2 and 40,485,197.5 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 80,970,395
-1 -80,970,395

Now, we try dividing 80,970,395 by 3:

80,970,395 ÷ 3 = 26,990,131.6667

If the quotient is a whole number, then 3 and 26,990,131.6667 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 80,970,395
-1 -80,970,395

Let's try dividing by 4:

80,970,395 ÷ 4 = 20,242,598.75

If the quotient is a whole number, then 4 and 20,242,598.75 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 80,970,395
-1 80,970,395
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551577851,7278,6359,37746,885103,147515,7351,472,1897,360,94516,194,07980,970,395
-1-5-11-55-157-785-1,727-8,635-9,377-46,885-103,147-515,735-1,472,189-7,360,945-16,194,079-80,970,395

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