Q: What are the factor combinations of the number 240,533,663?

 A:
Positive:   1 x 24053366317 x 1414903953 x 4538371239 x 1006417901 x 2669631117 x 2153394063 x 5920112667 x 18989
Negative: -1 x -240533663-17 x -14149039-53 x -4538371-239 x -1006417-901 x -266963-1117 x -215339-4063 x -59201-12667 x -18989


How do I find the factor combinations of the number 240,533,663?

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 240,533,663, 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.

1 240,533,663
-1 -240,533,663

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 240,533,663.

Example:
1 x 240,533,663 = 240,533,663
and
-1 x -240,533,663 = 240,533,663
Notice both answers equal 240,533,663

With that explanation out of the way, let's continue. Next, we take the number 240,533,663 and divide it by 2:

240,533,663 ÷ 2 = 120,266,831.5

If the quotient is a whole number, then 2 and 120,266,831.5 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:

1 240,533,663
-1 -240,533,663

Now, we try dividing 240,533,663 by 3:

240,533,663 ÷ 3 = 80,177,887.6667

If the quotient is a whole number, then 3 and 80,177,887.6667 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:

1 240,533,663
-1 -240,533,663

Let's try dividing by 4:

240,533,663 ÷ 4 = 60,133,415.75

If the quotient is a whole number, then 4 and 60,133,415.75 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:

1 240,533,663
-1 240,533,663
Keep dividing by the next highest number until you cannot divide anymore.

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

117532399011,1174,06312,66718,98959,201215,339266,9631,006,4174,538,37114,149,039240,533,663
-1-17-53-239-901-1,117-4,063-12,667-18,989-59,201-215,339-266,963-1,006,417-4,538,371-14,149,039-240,533,663

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