Q: What are the factor combinations of the number 237,575?

 A:
Positive:   1 x 2375755 x 4751513 x 1827517 x 1397525 x 950343 x 552565 x 365585 x 2795215 x 1105221 x 1075325 x 731425 x 559
Negative: -1 x -237575-5 x -47515-13 x -18275-17 x -13975-25 x -9503-43 x -5525-65 x -3655-85 x -2795-215 x -1105-221 x -1075-325 x -731-425 x -559


How do I find the factor combinations of the number 237,575?

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 237,575, 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.

1 237,575
-1 -237,575

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 237,575.

Example:
1 x 237,575 = 237,575
and
-1 x -237,575 = 237,575
Notice both answers equal 237,575

With that explanation out of the way, let's continue. Next, we take the number 237,575 and divide it by 2:

237,575 ÷ 2 = 118,787.5

If the quotient is a whole number, then 2 and 118,787.5 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:

1 237,575
-1 -237,575

Now, we try dividing 237,575 by 3:

237,575 ÷ 3 = 79,191.6667

If the quotient is a whole number, then 3 and 79,191.6667 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:

1 237,575
-1 -237,575

Let's try dividing by 4:

237,575 ÷ 4 = 59,393.75

If the quotient is a whole number, then 4 and 59,393.75 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:

1 237,575
-1 237,575
Keep dividing by the next highest number until you cannot divide anymore.

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

151317254365852152213254255597311,0751,1052,7953,6555,5259,50313,97518,27547,515237,575
-1-5-13-17-25-43-65-85-215-221-325-425-559-731-1,075-1,105-2,795-3,655-5,525-9,503-13,975-18,275-47,515-237,575

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