Q: What are the factor combinations of the number 240,774,005?

 A:
Positive:   1 x 2407740055 x 4815480123 x 10468435115 x 2093687449 x 5362452245 x 1072494663 x 5163510327 x 23315
Negative: -1 x -240774005-5 x -48154801-23 x -10468435-115 x -2093687-449 x -536245-2245 x -107249-4663 x -51635-10327 x -23315


How do I find the factor combinations of the number 240,774,005?

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 240,774,005, 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.

1 240,774,005
-1 -240,774,005

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 240,774,005.

Example:
1 x 240,774,005 = 240,774,005
and
-1 x -240,774,005 = 240,774,005
Notice both answers equal 240,774,005

With that explanation out of the way, let's continue. Next, we take the number 240,774,005 and divide it by 2:

240,774,005 ÷ 2 = 120,387,002.5

If the quotient is a whole number, then 2 and 120,387,002.5 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:

1 240,774,005
-1 -240,774,005

Now, we try dividing 240,774,005 by 3:

240,774,005 ÷ 3 = 80,258,001.6667

If the quotient is a whole number, then 3 and 80,258,001.6667 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:

1 240,774,005
-1 -240,774,005

Let's try dividing by 4:

240,774,005 ÷ 4 = 60,193,501.25

If the quotient is a whole number, then 4 and 60,193,501.25 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:

1 240,774,005
-1 240,774,005
Keep dividing by the next highest number until you cannot divide anymore.

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

15231154492,2454,66310,32723,31551,635107,249536,2452,093,68710,468,43548,154,801240,774,005
-1-5-23-115-449-2,245-4,663-10,327-23,315-51,635-107,249-536,245-2,093,687-10,468,435-48,154,801-240,774,005

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 240,774,005:


Ask a Question