Q: What are the factor combinations of the number 238,975?

 A:
Positive:   1 x 2389755 x 4779511 x 2172525 x 955955 x 434579 x 3025121 x 1975275 x 869395 x 605
Negative: -1 x -238975-5 x -47795-11 x -21725-25 x -9559-55 x -4345-79 x -3025-121 x -1975-275 x -869-395 x -605


How do I find the factor combinations of the number 238,975?

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 238,975, 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.

1 238,975
-1 -238,975

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 238,975.

Example:
1 x 238,975 = 238,975
and
-1 x -238,975 = 238,975
Notice both answers equal 238,975

With that explanation out of the way, let's continue. Next, we take the number 238,975 and divide it by 2:

238,975 ÷ 2 = 119,487.5

If the quotient is a whole number, then 2 and 119,487.5 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:

1 238,975
-1 -238,975

Now, we try dividing 238,975 by 3:

238,975 ÷ 3 = 79,658.3333

If the quotient is a whole number, then 3 and 79,658.3333 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:

1 238,975
-1 -238,975

Let's try dividing by 4:

238,975 ÷ 4 = 59,743.75

If the quotient is a whole number, then 4 and 59,743.75 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:

1 238,975
-1 238,975
Keep dividing by the next highest number until you cannot divide anymore.

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

15112555791212753956058691,9753,0254,3459,55921,72547,795238,975
-1-5-11-25-55-79-121-275-395-605-869-1,975-3,025-4,345-9,559-21,725-47,795-238,975

More Examples

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