Q: What are the factor combinations of the number 240,865,835?

 A:
Positive:   1 x 2408658355 x 481731677 x 3440940535 x 688188147 x 5124805235 x 1024961329 x 7321151645 x 146423
Negative: -1 x -240865835-5 x -48173167-7 x -34409405-35 x -6881881-47 x -5124805-235 x -1024961-329 x -732115-1645 x -146423


How do I find the factor combinations of the number 240,865,835?

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 240,865,835, 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.

1 240,865,835
-1 -240,865,835

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 240,865,835.

Example:
1 x 240,865,835 = 240,865,835
and
-1 x -240,865,835 = 240,865,835
Notice both answers equal 240,865,835

With that explanation out of the way, let's continue. Next, we take the number 240,865,835 and divide it by 2:

240,865,835 ÷ 2 = 120,432,917.5

If the quotient is a whole number, then 2 and 120,432,917.5 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:

1 240,865,835
-1 -240,865,835

Now, we try dividing 240,865,835 by 3:

240,865,835 ÷ 3 = 80,288,611.6667

If the quotient is a whole number, then 3 and 80,288,611.6667 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:

1 240,865,835
-1 -240,865,835

Let's try dividing by 4:

240,865,835 ÷ 4 = 60,216,458.75

If the quotient is a whole number, then 4 and 60,216,458.75 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:

1 240,865,835
-1 240,865,835
Keep dividing by the next highest number until you cannot divide anymore.

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

15735472353291,645146,423732,1151,024,9615,124,8056,881,88134,409,40548,173,167240,865,835
-1-5-7-35-47-235-329-1,645-146,423-732,115-1,024,961-5,124,805-6,881,881-34,409,405-48,173,167-240,865,835

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