Q: What are the factor combinations of the number 238,686,617?

 A:
Positive:   1 x 23868661713 x 1836050923 x 1037767929 x 8230573299 x 798283377 x 633121667 x 3578518671 x 27527
Negative: -1 x -238686617-13 x -18360509-23 x -10377679-29 x -8230573-299 x -798283-377 x -633121-667 x -357851-8671 x -27527


How do I find the factor combinations of the number 238,686,617?

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 238,686,617, 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.

1 238,686,617
-1 -238,686,617

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 238,686,617.

Example:
1 x 238,686,617 = 238,686,617
and
-1 x -238,686,617 = 238,686,617
Notice both answers equal 238,686,617

With that explanation out of the way, let's continue. Next, we take the number 238,686,617 and divide it by 2:

238,686,617 ÷ 2 = 119,343,308.5

If the quotient is a whole number, then 2 and 119,343,308.5 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:

1 238,686,617
-1 -238,686,617

Now, we try dividing 238,686,617 by 3:

238,686,617 ÷ 3 = 79,562,205.6667

If the quotient is a whole number, then 3 and 79,562,205.6667 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:

1 238,686,617
-1 -238,686,617

Let's try dividing by 4:

238,686,617 ÷ 4 = 59,671,654.25

If the quotient is a whole number, then 4 and 59,671,654.25 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:

1 238,686,617
-1 238,686,617
Keep dividing by the next highest number until you cannot divide anymore.

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

11323292993776678,67127,527357,851633,121798,2838,230,57310,377,67918,360,509238,686,617
-1-13-23-29-299-377-667-8,671-27,527-357,851-633,121-798,283-8,230,573-10,377,679-18,360,509-238,686,617

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