Q: What are the factor combinations of the number 280,063?

 A:
Positive:   1 x 2800637 x 40009
Negative: -1 x -280063-7 x -40009


How do I find the factor combinations of the number 280,063?

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 280,063, 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.

1 280,063
-1 -280,063

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 280,063.

Example:
1 x 280,063 = 280,063
and
-1 x -280,063 = 280,063
Notice both answers equal 280,063

With that explanation out of the way, let's continue. Next, we take the number 280,063 and divide it by 2:

280,063 ÷ 2 = 140,031.5

If the quotient is a whole number, then 2 and 140,031.5 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:

1 280,063
-1 -280,063

Now, we try dividing 280,063 by 3:

280,063 ÷ 3 = 93,354.3333

If the quotient is a whole number, then 3 and 93,354.3333 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:

1 280,063
-1 -280,063

Let's try dividing by 4:

280,063 ÷ 4 = 70,015.75

If the quotient is a whole number, then 4 and 70,015.75 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:

1 280,063
-1 280,063
Keep dividing by the next highest number until you cannot divide anymore.

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

1740,009280,063
-1-7-40,009-280,063

More Examples

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