Q: What are the factor combinations of the number 240,171,551?

 A:
Positive:   1 x 24017155137 x 649112347 x 5110033167 x 1438153827 x 2904131739 x 1381096179 x 388697849 x 30599
Negative: -1 x -240171551-37 x -6491123-47 x -5110033-167 x -1438153-827 x -290413-1739 x -138109-6179 x -38869-7849 x -30599


How do I find the factor combinations of the number 240,171,551?

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 240,171,551, 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.

1 240,171,551
-1 -240,171,551

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 240,171,551.

Example:
1 x 240,171,551 = 240,171,551
and
-1 x -240,171,551 = 240,171,551
Notice both answers equal 240,171,551

With that explanation out of the way, let's continue. Next, we take the number 240,171,551 and divide it by 2:

240,171,551 ÷ 2 = 120,085,775.5

If the quotient is a whole number, then 2 and 120,085,775.5 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:

1 240,171,551
-1 -240,171,551

Now, we try dividing 240,171,551 by 3:

240,171,551 ÷ 3 = 80,057,183.6667

If the quotient is a whole number, then 3 and 80,057,183.6667 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:

1 240,171,551
-1 -240,171,551

Let's try dividing by 4:

240,171,551 ÷ 4 = 60,042,887.75

If the quotient is a whole number, then 4 and 60,042,887.75 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:

1 240,171,551
-1 240,171,551
Keep dividing by the next highest number until you cannot divide anymore.

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

137471678271,7396,1797,84930,59938,869138,109290,4131,438,1535,110,0336,491,123240,171,551
-1-37-47-167-827-1,739-6,179-7,849-30,599-38,869-138,109-290,413-1,438,153-5,110,033-6,491,123-240,171,551

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