Q: What are the factor combinations of the number 80,380,607?

 A:
Positive:   1 x 8038060717 x 472827123 x 3494809167 x 481321391 x 2055771231 x 652972839 x 283133841 x 20927
Negative: -1 x -80380607-17 x -4728271-23 x -3494809-167 x -481321-391 x -205577-1231 x -65297-2839 x -28313-3841 x -20927


How do I find the factor combinations of the number 80,380,607?

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 80,380,607, 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 80,380,607
-1 -80,380,607

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 80,380,607.

Example:
1 x 80,380,607 = 80,380,607
and
-1 x -80,380,607 = 80,380,607
Notice both answers equal 80,380,607

With that explanation out of the way, let's continue. Next, we take the number 80,380,607 and divide it by 2:

80,380,607 ÷ 2 = 40,190,303.5

If the quotient is a whole number, then 2 and 40,190,303.5 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 80,380,607
-1 -80,380,607

Now, we try dividing 80,380,607 by 3:

80,380,607 ÷ 3 = 26,793,535.6667

If the quotient is a whole number, then 3 and 26,793,535.6667 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 80,380,607
-1 -80,380,607

Let's try dividing by 4:

80,380,607 ÷ 4 = 20,095,151.75

If the quotient is a whole number, then 4 and 20,095,151.75 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 80,380,607
-1 80,380,607
Keep dividing by the next highest number until you cannot divide anymore.

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

117231673911,2312,8393,84120,92728,31365,297205,577481,3213,494,8094,728,27180,380,607
-1-17-23-167-391-1,231-2,839-3,841-20,927-28,313-65,297-205,577-481,321-3,494,809-4,728,271-80,380,607

More Examples

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