Q: What are the factor combinations of the number 240,833,515?

 A:
Positive:   1 x 2408335155 x 4816670313 x 1852565565 x 3705131409 x 5888352045 x 1177675317 x 452959059 x 26585
Negative: -1 x -240833515-5 x -48166703-13 x -18525655-65 x -3705131-409 x -588835-2045 x -117767-5317 x -45295-9059 x -26585


How do I find the factor combinations of the number 240,833,515?

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 240,833,515, 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.

1 240,833,515
-1 -240,833,515

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 240,833,515.

Example:
1 x 240,833,515 = 240,833,515
and
-1 x -240,833,515 = 240,833,515
Notice both answers equal 240,833,515

With that explanation out of the way, let's continue. Next, we take the number 240,833,515 and divide it by 2:

240,833,515 ÷ 2 = 120,416,757.5

If the quotient is a whole number, then 2 and 120,416,757.5 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:

1 240,833,515
-1 -240,833,515

Now, we try dividing 240,833,515 by 3:

240,833,515 ÷ 3 = 80,277,838.3333

If the quotient is a whole number, then 3 and 80,277,838.3333 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:

1 240,833,515
-1 -240,833,515

Let's try dividing by 4:

240,833,515 ÷ 4 = 60,208,378.75

If the quotient is a whole number, then 4 and 60,208,378.75 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:

1 240,833,515
-1 240,833,515
Keep dividing by the next highest number until you cannot divide anymore.

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

1513654092,0455,3179,05926,58545,295117,767588,8353,705,13118,525,65548,166,703240,833,515
-1-5-13-65-409-2,045-5,317-9,059-26,585-45,295-117,767-588,835-3,705,131-18,525,655-48,166,703-240,833,515

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