Q: What are the factor combinations of the number 240,236,735?

 A:
Positive:   1 x 2402367355 x 48047347163 x 1473845281 x 854935815 x 2947691049 x 2290151405 x 1709875245 x 45803
Negative: -1 x -240236735-5 x -48047347-163 x -1473845-281 x -854935-815 x -294769-1049 x -229015-1405 x -170987-5245 x -45803


How do I find the factor combinations of the number 240,236,735?

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 240,236,735, 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.

1 240,236,735
-1 -240,236,735

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 240,236,735.

Example:
1 x 240,236,735 = 240,236,735
and
-1 x -240,236,735 = 240,236,735
Notice both answers equal 240,236,735

With that explanation out of the way, let's continue. Next, we take the number 240,236,735 and divide it by 2:

240,236,735 ÷ 2 = 120,118,367.5

If the quotient is a whole number, then 2 and 120,118,367.5 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:

1 240,236,735
-1 -240,236,735

Now, we try dividing 240,236,735 by 3:

240,236,735 ÷ 3 = 80,078,911.6667

If the quotient is a whole number, then 3 and 80,078,911.6667 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:

1 240,236,735
-1 -240,236,735

Let's try dividing by 4:

240,236,735 ÷ 4 = 60,059,183.75

If the quotient is a whole number, then 4 and 60,059,183.75 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:

1 240,236,735
-1 240,236,735
Keep dividing by the next highest number until you cannot divide anymore.

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

151632818151,0491,4055,24545,803170,987229,015294,769854,9351,473,84548,047,347240,236,735
-1-5-163-281-815-1,049-1,405-5,245-45,803-170,987-229,015-294,769-854,935-1,473,845-48,047,347-240,236,735

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