Q: What are the factor combinations of the number 237,475?

 A:
Positive:   1 x 2374755 x 474957 x 3392523 x 1032525 x 949935 x 678559 x 4025115 x 2065161 x 1475175 x 1357295 x 805413 x 575
Negative: -1 x -237475-5 x -47495-7 x -33925-23 x -10325-25 x -9499-35 x -6785-59 x -4025-115 x -2065-161 x -1475-175 x -1357-295 x -805-413 x -575


How do I find the factor combinations of the number 237,475?

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 237,475, 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.

1 237,475
-1 -237,475

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 237,475.

Example:
1 x 237,475 = 237,475
and
-1 x -237,475 = 237,475
Notice both answers equal 237,475

With that explanation out of the way, let's continue. Next, we take the number 237,475 and divide it by 2:

237,475 ÷ 2 = 118,737.5

If the quotient is a whole number, then 2 and 118,737.5 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:

1 237,475
-1 -237,475

Now, we try dividing 237,475 by 3:

237,475 ÷ 3 = 79,158.3333

If the quotient is a whole number, then 3 and 79,158.3333 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:

1 237,475
-1 -237,475

Let's try dividing by 4:

237,475 ÷ 4 = 59,368.75

If the quotient is a whole number, then 4 and 59,368.75 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:

1 237,475
-1 237,475
Keep dividing by the next highest number until you cannot divide anymore.

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

157232535591151611752954135758051,3571,4752,0654,0256,7859,49910,32533,92547,495237,475
-1-5-7-23-25-35-59-115-161-175-295-413-575-805-1,357-1,475-2,065-4,025-6,785-9,499-10,325-33,925-47,495-237,475

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