Q: What are the factor combinations of the number 240,217,247?

 A:
Positive:   1 x 24021724719 x 12643013107 x 2245021173 x 1388539683 x 3517092033 x 1181593287 x 7308112977 x 18511
Negative: -1 x -240217247-19 x -12643013-107 x -2245021-173 x -1388539-683 x -351709-2033 x -118159-3287 x -73081-12977 x -18511


How do I find the factor combinations of the number 240,217,247?

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 240,217,247, 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.

1 240,217,247
-1 -240,217,247

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 240,217,247.

Example:
1 x 240,217,247 = 240,217,247
and
-1 x -240,217,247 = 240,217,247
Notice both answers equal 240,217,247

With that explanation out of the way, let's continue. Next, we take the number 240,217,247 and divide it by 2:

240,217,247 ÷ 2 = 120,108,623.5

If the quotient is a whole number, then 2 and 120,108,623.5 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:

1 240,217,247
-1 -240,217,247

Now, we try dividing 240,217,247 by 3:

240,217,247 ÷ 3 = 80,072,415.6667

If the quotient is a whole number, then 3 and 80,072,415.6667 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:

1 240,217,247
-1 -240,217,247

Let's try dividing by 4:

240,217,247 ÷ 4 = 60,054,311.75

If the quotient is a whole number, then 4 and 60,054,311.75 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:

1 240,217,247
-1 240,217,247
Keep dividing by the next highest number until you cannot divide anymore.

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

1191071736832,0333,28712,97718,51173,081118,159351,7091,388,5392,245,02112,643,013240,217,247
-1-19-107-173-683-2,033-3,287-12,977-18,511-73,081-118,159-351,709-1,388,539-2,245,021-12,643,013-240,217,247

More Examples

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