Q: What are the factor combinations of the number 280,270,939?

 A:
Positive:   1 x 28027093913 x 2155930323 x 12185693299 x 937361929 x 3016911009 x 27777112077 x 2320713117 x 21367
Negative: -1 x -280270939-13 x -21559303-23 x -12185693-299 x -937361-929 x -301691-1009 x -277771-12077 x -23207-13117 x -21367


How do I find the factor combinations of the number 280,270,939?

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 280,270,939, 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.

1 280,270,939
-1 -280,270,939

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 280,270,939.

Example:
1 x 280,270,939 = 280,270,939
and
-1 x -280,270,939 = 280,270,939
Notice both answers equal 280,270,939

With that explanation out of the way, let's continue. Next, we take the number 280,270,939 and divide it by 2:

280,270,939 ÷ 2 = 140,135,469.5

If the quotient is a whole number, then 2 and 140,135,469.5 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:

1 280,270,939
-1 -280,270,939

Now, we try dividing 280,270,939 by 3:

280,270,939 ÷ 3 = 93,423,646.3333

If the quotient is a whole number, then 3 and 93,423,646.3333 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:

1 280,270,939
-1 -280,270,939

Let's try dividing by 4:

280,270,939 ÷ 4 = 70,067,734.75

If the quotient is a whole number, then 4 and 70,067,734.75 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:

1 280,270,939
-1 280,270,939
Keep dividing by the next highest number until you cannot divide anymore.

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

113232999291,00912,07713,11721,36723,207277,771301,691937,36112,185,69321,559,303280,270,939
-1-13-23-299-929-1,009-12,077-13,117-21,367-23,207-277,771-301,691-937,361-12,185,693-21,559,303-280,270,939

More Examples

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