Q: What are the factor combinations of the number 240,131,111?

 A:
Positive:   1 x 24013111111 x 21830101163 x 1473197199 x 1206689673 x 3568071793 x 1339272189 x 1096997403 x 32437
Negative: -1 x -240131111-11 x -21830101-163 x -1473197-199 x -1206689-673 x -356807-1793 x -133927-2189 x -109699-7403 x -32437


How do I find the factor combinations of the number 240,131,111?

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 240,131,111, 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.

1 240,131,111
-1 -240,131,111

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 240,131,111.

Example:
1 x 240,131,111 = 240,131,111
and
-1 x -240,131,111 = 240,131,111
Notice both answers equal 240,131,111

With that explanation out of the way, let's continue. Next, we take the number 240,131,111 and divide it by 2:

240,131,111 ÷ 2 = 120,065,555.5

If the quotient is a whole number, then 2 and 120,065,555.5 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:

1 240,131,111
-1 -240,131,111

Now, we try dividing 240,131,111 by 3:

240,131,111 ÷ 3 = 80,043,703.6667

If the quotient is a whole number, then 3 and 80,043,703.6667 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:

1 240,131,111
-1 -240,131,111

Let's try dividing by 4:

240,131,111 ÷ 4 = 60,032,777.75

If the quotient is a whole number, then 4 and 60,032,777.75 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:

1 240,131,111
-1 240,131,111
Keep dividing by the next highest number until you cannot divide anymore.

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

1111631996731,7932,1897,40332,437109,699133,927356,8071,206,6891,473,19721,830,101240,131,111
-1-11-163-199-673-1,793-2,189-7,403-32,437-109,699-133,927-356,807-1,206,689-1,473,197-21,830,101-240,131,111

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