Q: What are the factor combinations of the number 238,738,615?

 A:
Positive:   1 x 2387386155 x 4774772337 x 645239547 x 5079545185 x 1290479235 x 10159091739 x 1372858695 x 27457
Negative: -1 x -238738615-5 x -47747723-37 x -6452395-47 x -5079545-185 x -1290479-235 x -1015909-1739 x -137285-8695 x -27457


How do I find the factor combinations of the number 238,738,615?

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 238,738,615, 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.

1 238,738,615
-1 -238,738,615

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 238,738,615.

Example:
1 x 238,738,615 = 238,738,615
and
-1 x -238,738,615 = 238,738,615
Notice both answers equal 238,738,615

With that explanation out of the way, let's continue. Next, we take the number 238,738,615 and divide it by 2:

238,738,615 ÷ 2 = 119,369,307.5

If the quotient is a whole number, then 2 and 119,369,307.5 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:

1 238,738,615
-1 -238,738,615

Now, we try dividing 238,738,615 by 3:

238,738,615 ÷ 3 = 79,579,538.3333

If the quotient is a whole number, then 3 and 79,579,538.3333 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:

1 238,738,615
-1 -238,738,615

Let's try dividing by 4:

238,738,615 ÷ 4 = 59,684,653.75

If the quotient is a whole number, then 4 and 59,684,653.75 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:

1 238,738,615
-1 238,738,615
Keep dividing by the next highest number until you cannot divide anymore.

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

1537471852351,7398,69527,457137,2851,015,9091,290,4795,079,5456,452,39547,747,723238,738,615
-1-5-37-47-185-235-1,739-8,695-27,457-137,285-1,015,909-1,290,479-5,079,545-6,452,395-47,747,723-238,738,615

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