Q: What are the factor combinations of the number 280,552,837?

 A:
Positive:   1 x 280552837337 x 832501673 x 4168691237 x 226801
Negative: -1 x -280552837-337 x -832501-673 x -416869-1237 x -226801


How do I find the factor combinations of the number 280,552,837?

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 280,552,837, 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.

1 280,552,837
-1 -280,552,837

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 280,552,837.

Example:
1 x 280,552,837 = 280,552,837
and
-1 x -280,552,837 = 280,552,837
Notice both answers equal 280,552,837

With that explanation out of the way, let's continue. Next, we take the number 280,552,837 and divide it by 2:

280,552,837 ÷ 2 = 140,276,418.5

If the quotient is a whole number, then 2 and 140,276,418.5 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:

1 280,552,837
-1 -280,552,837

Now, we try dividing 280,552,837 by 3:

280,552,837 ÷ 3 = 93,517,612.3333

If the quotient is a whole number, then 3 and 93,517,612.3333 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:

1 280,552,837
-1 -280,552,837

Let's try dividing by 4:

280,552,837 ÷ 4 = 70,138,209.25

If the quotient is a whole number, then 4 and 70,138,209.25 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:

1 280,552,837
-1 280,552,837
Keep dividing by the next highest number until you cannot divide anymore.

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

13376731,237226,801416,869832,501280,552,837
-1-337-673-1,237-226,801-416,869-832,501-280,552,837

More Examples

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