Q: What are the factor combinations of the number 240,233,663?

 A:
Positive:   1 x 24023366319 x 1264387731 x 774947359 x 4071757223 x 1077281589 x 407867961 x 2499831121 x 2143031829 x 1313474237 x 566996913 x 3475113157 x 18259
Negative: -1 x -240233663-19 x -12643877-31 x -7749473-59 x -4071757-223 x -1077281-589 x -407867-961 x -249983-1121 x -214303-1829 x -131347-4237 x -56699-6913 x -34751-13157 x -18259


How do I find the factor combinations of the number 240,233,663?

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 240,233,663, 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.

1 240,233,663
-1 -240,233,663

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 240,233,663.

Example:
1 x 240,233,663 = 240,233,663
and
-1 x -240,233,663 = 240,233,663
Notice both answers equal 240,233,663

With that explanation out of the way, let's continue. Next, we take the number 240,233,663 and divide it by 2:

240,233,663 ÷ 2 = 120,116,831.5

If the quotient is a whole number, then 2 and 120,116,831.5 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:

1 240,233,663
-1 -240,233,663

Now, we try dividing 240,233,663 by 3:

240,233,663 ÷ 3 = 80,077,887.6667

If the quotient is a whole number, then 3 and 80,077,887.6667 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:

1 240,233,663
-1 -240,233,663

Let's try dividing by 4:

240,233,663 ÷ 4 = 60,058,415.75

If the quotient is a whole number, then 4 and 60,058,415.75 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:

1 240,233,663
-1 240,233,663
Keep dividing by the next highest number until you cannot divide anymore.

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

11931592235899611,1211,8294,2376,91313,15718,25934,75156,699131,347214,303249,983407,8671,077,2814,071,7577,749,47312,643,877240,233,663
-1-19-31-59-223-589-961-1,121-1,829-4,237-6,913-13,157-18,259-34,751-56,699-131,347-214,303-249,983-407,867-1,077,281-4,071,757-7,749,473-12,643,877-240,233,663

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 240,233,663:


Ask a Question