Q: What are the factor combinations of the number 240,230,357?

 A:
Positive:   1 x 24023035719 x 1264370341 x 5859277779 x 308383
Negative: -1 x -240230357-19 x -12643703-41 x -5859277-779 x -308383


How do I find the factor combinations of the number 240,230,357?

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 240,230,357, 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.

1 240,230,357
-1 -240,230,357

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 240,230,357.

Example:
1 x 240,230,357 = 240,230,357
and
-1 x -240,230,357 = 240,230,357
Notice both answers equal 240,230,357

With that explanation out of the way, let's continue. Next, we take the number 240,230,357 and divide it by 2:

240,230,357 ÷ 2 = 120,115,178.5

If the quotient is a whole number, then 2 and 120,115,178.5 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:

1 240,230,357
-1 -240,230,357

Now, we try dividing 240,230,357 by 3:

240,230,357 ÷ 3 = 80,076,785.6667

If the quotient is a whole number, then 3 and 80,076,785.6667 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:

1 240,230,357
-1 -240,230,357

Let's try dividing by 4:

240,230,357 ÷ 4 = 60,057,589.25

If the quotient is a whole number, then 4 and 60,057,589.25 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:

1 240,230,357
-1 240,230,357
Keep dividing by the next highest number until you cannot divide anymore.

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

11941779308,3835,859,27712,643,703240,230,357
-1-19-41-779-308,383-5,859,277-12,643,703-240,230,357

More Examples

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