Q: What are the factor combinations of the number 240,466,187?

 A:
Positive:   1 x 24046618713 x 184973992309 x 1041438011 x 30017
Negative: -1 x -240466187-13 x -18497399-2309 x -104143-8011 x -30017


How do I find the factor combinations of the number 240,466,187?

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 240,466,187, 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.

1 240,466,187
-1 -240,466,187

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 240,466,187.

Example:
1 x 240,466,187 = 240,466,187
and
-1 x -240,466,187 = 240,466,187
Notice both answers equal 240,466,187

With that explanation out of the way, let's continue. Next, we take the number 240,466,187 and divide it by 2:

240,466,187 ÷ 2 = 120,233,093.5

If the quotient is a whole number, then 2 and 120,233,093.5 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:

1 240,466,187
-1 -240,466,187

Now, we try dividing 240,466,187 by 3:

240,466,187 ÷ 3 = 80,155,395.6667

If the quotient is a whole number, then 3 and 80,155,395.6667 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:

1 240,466,187
-1 -240,466,187

Let's try dividing by 4:

240,466,187 ÷ 4 = 60,116,546.75

If the quotient is a whole number, then 4 and 60,116,546.75 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:

1 240,466,187
-1 240,466,187
Keep dividing by the next highest number until you cannot divide anymore.

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

1132,3098,01130,017104,14318,497,399240,466,187
-1-13-2,309-8,011-30,017-104,143-18,497,399-240,466,187

More Examples

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