Q: What are the factor combinations of the number 240,770,375?

 A:
Positive:   1 x 2407703755 x 4815407519 x 1267212525 x 963081595 x 2534425125 x 1926163475 x 5068852375 x 101377
Negative: -1 x -240770375-5 x -48154075-19 x -12672125-25 x -9630815-95 x -2534425-125 x -1926163-475 x -506885-2375 x -101377


How do I find the factor combinations of the number 240,770,375?

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 240,770,375, 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.

1 240,770,375
-1 -240,770,375

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 240,770,375.

Example:
1 x 240,770,375 = 240,770,375
and
-1 x -240,770,375 = 240,770,375
Notice both answers equal 240,770,375

With that explanation out of the way, let's continue. Next, we take the number 240,770,375 and divide it by 2:

240,770,375 ÷ 2 = 120,385,187.5

If the quotient is a whole number, then 2 and 120,385,187.5 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:

1 240,770,375
-1 -240,770,375

Now, we try dividing 240,770,375 by 3:

240,770,375 ÷ 3 = 80,256,791.6667

If the quotient is a whole number, then 3 and 80,256,791.6667 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:

1 240,770,375
-1 -240,770,375

Let's try dividing by 4:

240,770,375 ÷ 4 = 60,192,593.75

If the quotient is a whole number, then 4 and 60,192,593.75 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:

1 240,770,375
-1 240,770,375
Keep dividing by the next highest number until you cannot divide anymore.

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

151925951254752,375101,377506,8851,926,1632,534,4259,630,81512,672,12548,154,075240,770,375
-1-5-19-25-95-125-475-2,375-101,377-506,885-1,926,163-2,534,425-9,630,815-12,672,125-48,154,075-240,770,375

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