Q: What are the factor combinations of the number 240,233,341?

 A:
Positive:   1 x 24023334117 x 1413137337 x 6492793167 x 1438523629 x 3819292287 x 1050432839 x 846196179 x 38879
Negative: -1 x -240233341-17 x -14131373-37 x -6492793-167 x -1438523-629 x -381929-2287 x -105043-2839 x -84619-6179 x -38879


How do I find the factor combinations of the number 240,233,341?

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 240,233,341, 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.

1 240,233,341
-1 -240,233,341

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 240,233,341.

Example:
1 x 240,233,341 = 240,233,341
and
-1 x -240,233,341 = 240,233,341
Notice both answers equal 240,233,341

With that explanation out of the way, let's continue. Next, we take the number 240,233,341 and divide it by 2:

240,233,341 ÷ 2 = 120,116,670.5

If the quotient is a whole number, then 2 and 120,116,670.5 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:

1 240,233,341
-1 -240,233,341

Now, we try dividing 240,233,341 by 3:

240,233,341 ÷ 3 = 80,077,780.3333

If the quotient is a whole number, then 3 and 80,077,780.3333 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:

1 240,233,341
-1 -240,233,341

Let's try dividing by 4:

240,233,341 ÷ 4 = 60,058,335.25

If the quotient is a whole number, then 4 and 60,058,335.25 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:

1 240,233,341
-1 240,233,341
Keep dividing by the next highest number until you cannot divide anymore.

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

117371676292,2872,8396,17938,87984,619105,043381,9291,438,5236,492,79314,131,373240,233,341
-1-17-37-167-629-2,287-2,839-6,179-38,879-84,619-105,043-381,929-1,438,523-6,492,793-14,131,373-240,233,341

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