Q: What are the factor combinations of the number 280,121,375?

 A:
Positive:   1 x 2801213755 x 5602427525 x 11204855103 x 2719625125 x 2240971515 x 5439252575 x 10878512875 x 21757
Negative: -1 x -280121375-5 x -56024275-25 x -11204855-103 x -2719625-125 x -2240971-515 x -543925-2575 x -108785-12875 x -21757


How do I find the factor combinations of the number 280,121,375?

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 280,121,375, 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.

1 280,121,375
-1 -280,121,375

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 280,121,375.

Example:
1 x 280,121,375 = 280,121,375
and
-1 x -280,121,375 = 280,121,375
Notice both answers equal 280,121,375

With that explanation out of the way, let's continue. Next, we take the number 280,121,375 and divide it by 2:

280,121,375 ÷ 2 = 140,060,687.5

If the quotient is a whole number, then 2 and 140,060,687.5 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:

1 280,121,375
-1 -280,121,375

Now, we try dividing 280,121,375 by 3:

280,121,375 ÷ 3 = 93,373,791.6667

If the quotient is a whole number, then 3 and 93,373,791.6667 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:

1 280,121,375
-1 -280,121,375

Let's try dividing by 4:

280,121,375 ÷ 4 = 70,030,343.75

If the quotient is a whole number, then 4 and 70,030,343.75 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:

1 280,121,375
-1 280,121,375
Keep dividing by the next highest number until you cannot divide anymore.

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

15251031255152,57512,87521,757108,785543,9252,240,9712,719,62511,204,85556,024,275280,121,375
-1-5-25-103-125-515-2,575-12,875-21,757-108,785-543,925-2,240,971-2,719,625-11,204,855-56,024,275-280,121,375

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