Q: What are the factor combinations of the number 240,563,011?

 A:
Positive:   1 x 24056301113 x 1850484737 x 6501703481 x 500131647 x 371813773 x 3112078411 x 2860110049 x 23939
Negative: -1 x -240563011-13 x -18504847-37 x -6501703-481 x -500131-647 x -371813-773 x -311207-8411 x -28601-10049 x -23939


How do I find the factor combinations of the number 240,563,011?

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 240,563,011, 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.

1 240,563,011
-1 -240,563,011

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 240,563,011.

Example:
1 x 240,563,011 = 240,563,011
and
-1 x -240,563,011 = 240,563,011
Notice both answers equal 240,563,011

With that explanation out of the way, let's continue. Next, we take the number 240,563,011 and divide it by 2:

240,563,011 ÷ 2 = 120,281,505.5

If the quotient is a whole number, then 2 and 120,281,505.5 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:

1 240,563,011
-1 -240,563,011

Now, we try dividing 240,563,011 by 3:

240,563,011 ÷ 3 = 80,187,670.3333

If the quotient is a whole number, then 3 and 80,187,670.3333 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:

1 240,563,011
-1 -240,563,011

Let's try dividing by 4:

240,563,011 ÷ 4 = 60,140,752.75

If the quotient is a whole number, then 4 and 60,140,752.75 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:

1 240,563,011
-1 240,563,011
Keep dividing by the next highest number until you cannot divide anymore.

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

113374816477738,41110,04923,93928,601311,207371,813500,1316,501,70318,504,847240,563,011
-1-13-37-481-647-773-8,411-10,049-23,939-28,601-311,207-371,813-500,131-6,501,703-18,504,847-240,563,011

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