Q: What are the factor combinations of the number 240,523,355?

 A:
Positive:   1 x 2405233555 x 48104671193 x 1246235281 x 855955887 x 271165965 x 2492471405 x 1711914435 x 54233
Negative: -1 x -240523355-5 x -48104671-193 x -1246235-281 x -855955-887 x -271165-965 x -249247-1405 x -171191-4435 x -54233


How do I find the factor combinations of the number 240,523,355?

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 240,523,355, 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.

1 240,523,355
-1 -240,523,355

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 240,523,355.

Example:
1 x 240,523,355 = 240,523,355
and
-1 x -240,523,355 = 240,523,355
Notice both answers equal 240,523,355

With that explanation out of the way, let's continue. Next, we take the number 240,523,355 and divide it by 2:

240,523,355 ÷ 2 = 120,261,677.5

If the quotient is a whole number, then 2 and 120,261,677.5 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:

1 240,523,355
-1 -240,523,355

Now, we try dividing 240,523,355 by 3:

240,523,355 ÷ 3 = 80,174,451.6667

If the quotient is a whole number, then 3 and 80,174,451.6667 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:

1 240,523,355
-1 -240,523,355

Let's try dividing by 4:

240,523,355 ÷ 4 = 60,130,838.75

If the quotient is a whole number, then 4 and 60,130,838.75 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:

1 240,523,355
-1 240,523,355
Keep dividing by the next highest number until you cannot divide anymore.

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

151932818879651,4054,43554,233171,191249,247271,165855,9551,246,23548,104,671240,523,355
-1-5-193-281-887-965-1,405-4,435-54,233-171,191-249,247-271,165-855,955-1,246,235-48,104,671-240,523,355

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