Q: What are the factor combinations of the number 80,050,285?

 A:
Positive:   1 x 800502855 x 160100577 x 1143575535 x 2287151643 x 1244953215 x 248993557 x 225054501 x 17785
Negative: -1 x -80050285-5 x -16010057-7 x -11435755-35 x -2287151-643 x -124495-3215 x -24899-3557 x -22505-4501 x -17785


How do I find the factor combinations of the number 80,050,285?

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 80,050,285, 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 80,050,285
-1 -80,050,285

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 80,050,285.

Example:
1 x 80,050,285 = 80,050,285
and
-1 x -80,050,285 = 80,050,285
Notice both answers equal 80,050,285

With that explanation out of the way, let's continue. Next, we take the number 80,050,285 and divide it by 2:

80,050,285 ÷ 2 = 40,025,142.5

If the quotient is a whole number, then 2 and 40,025,142.5 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 80,050,285
-1 -80,050,285

Now, we try dividing 80,050,285 by 3:

80,050,285 ÷ 3 = 26,683,428.3333

If the quotient is a whole number, then 3 and 26,683,428.3333 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 80,050,285
-1 -80,050,285

Let's try dividing by 4:

80,050,285 ÷ 4 = 20,012,571.25

If the quotient is a whole number, then 4 and 20,012,571.25 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 80,050,285
-1 80,050,285
Keep dividing by the next highest number until you cannot divide anymore.

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

157356433,2153,5574,50117,78522,50524,899124,4952,287,15111,435,75516,010,05780,050,285
-1-5-7-35-643-3,215-3,557-4,501-17,785-22,505-24,899-124,495-2,287,151-11,435,755-16,010,057-80,050,285

More Examples

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