Q: What are the factor combinations of the number 240,824,615?

 A:
Positive:   1 x 2408246155 x 48164923151 x 1594865307 x 784445755 x 3189731039 x 2317851535 x 1568895195 x 46357
Negative: -1 x -240824615-5 x -48164923-151 x -1594865-307 x -784445-755 x -318973-1039 x -231785-1535 x -156889-5195 x -46357


How do I find the factor combinations of the number 240,824,615?

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 240,824,615, 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.

1 240,824,615
-1 -240,824,615

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 240,824,615.

Example:
1 x 240,824,615 = 240,824,615
and
-1 x -240,824,615 = 240,824,615
Notice both answers equal 240,824,615

With that explanation out of the way, let's continue. Next, we take the number 240,824,615 and divide it by 2:

240,824,615 ÷ 2 = 120,412,307.5

If the quotient is a whole number, then 2 and 120,412,307.5 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:

1 240,824,615
-1 -240,824,615

Now, we try dividing 240,824,615 by 3:

240,824,615 ÷ 3 = 80,274,871.6667

If the quotient is a whole number, then 3 and 80,274,871.6667 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:

1 240,824,615
-1 -240,824,615

Let's try dividing by 4:

240,824,615 ÷ 4 = 60,206,153.75

If the quotient is a whole number, then 4 and 60,206,153.75 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:

1 240,824,615
-1 240,824,615
Keep dividing by the next highest number until you cannot divide anymore.

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

151513077551,0391,5355,19546,357156,889231,785318,973784,4451,594,86548,164,923240,824,615
-1-5-151-307-755-1,039-1,535-5,195-46,357-156,889-231,785-318,973-784,445-1,594,865-48,164,923-240,824,615

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