Q: What are the factor combinations of the number 240,242,453?

 A:
Positive:   1 x 24024245311 x 2184022317 x 14131909103 x 2332451187 x 12847191133 x 2120411751 x 13720312473 x 19261
Negative: -1 x -240242453-11 x -21840223-17 x -14131909-103 x -2332451-187 x -1284719-1133 x -212041-1751 x -137203-12473 x -19261


How do I find the factor combinations of the number 240,242,453?

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 240,242,453, 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.

1 240,242,453
-1 -240,242,453

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 240,242,453.

Example:
1 x 240,242,453 = 240,242,453
and
-1 x -240,242,453 = 240,242,453
Notice both answers equal 240,242,453

With that explanation out of the way, let's continue. Next, we take the number 240,242,453 and divide it by 2:

240,242,453 ÷ 2 = 120,121,226.5

If the quotient is a whole number, then 2 and 120,121,226.5 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:

1 240,242,453
-1 -240,242,453

Now, we try dividing 240,242,453 by 3:

240,242,453 ÷ 3 = 80,080,817.6667

If the quotient is a whole number, then 3 and 80,080,817.6667 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:

1 240,242,453
-1 -240,242,453

Let's try dividing by 4:

240,242,453 ÷ 4 = 60,060,613.25

If the quotient is a whole number, then 4 and 60,060,613.25 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:

1 240,242,453
-1 240,242,453
Keep dividing by the next highest number until you cannot divide anymore.

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

111171031871,1331,75112,47319,261137,203212,0411,284,7192,332,45114,131,90921,840,223240,242,453
-1-11-17-103-187-1,133-1,751-12,473-19,261-137,203-212,041-1,284,719-2,332,451-14,131,909-21,840,223-240,242,453

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