Q: What are the factor combinations of the number 82,120,255?

 A:
Positive:   1 x 821202555 x 164240517 x 1173146535 x 234629373 x 1124935365 x 224987511 x 1607052555 x 32141
Negative: -1 x -82120255-5 x -16424051-7 x -11731465-35 x -2346293-73 x -1124935-365 x -224987-511 x -160705-2555 x -32141


How do I find the factor combinations of the number 82,120,255?

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 82,120,255, 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 82,120,255
-1 -82,120,255

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 82,120,255.

Example:
1 x 82,120,255 = 82,120,255
and
-1 x -82,120,255 = 82,120,255
Notice both answers equal 82,120,255

With that explanation out of the way, let's continue. Next, we take the number 82,120,255 and divide it by 2:

82,120,255 ÷ 2 = 41,060,127.5

If the quotient is a whole number, then 2 and 41,060,127.5 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 82,120,255
-1 -82,120,255

Now, we try dividing 82,120,255 by 3:

82,120,255 ÷ 3 = 27,373,418.3333

If the quotient is a whole number, then 3 and 27,373,418.3333 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 82,120,255
-1 -82,120,255

Let's try dividing by 4:

82,120,255 ÷ 4 = 20,530,063.75

If the quotient is a whole number, then 4 and 20,530,063.75 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 82,120,255
-1 82,120,255
Keep dividing by the next highest number until you cannot divide anymore.

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

15735733655112,55532,141160,705224,9871,124,9352,346,29311,731,46516,424,05182,120,255
-1-5-7-35-73-365-511-2,555-32,141-160,705-224,987-1,124,935-2,346,293-11,731,465-16,424,051-82,120,255

More Examples

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