Q: What are the factor combinations of the number 384,175?

 A:
Positive:   1 x 3841755 x 7683511 x 3492525 x 1536755 x 6985121 x 3175127 x 3025275 x 1397605 x 635
Negative: -1 x -384175-5 x -76835-11 x -34925-25 x -15367-55 x -6985-121 x -3175-127 x -3025-275 x -1397-605 x -635


How do I find the factor combinations of the number 384,175?

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 384,175, 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.

1 384,175
-1 -384,175

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 384,175.

Example:
1 x 384,175 = 384,175
and
-1 x -384,175 = 384,175
Notice both answers equal 384,175

With that explanation out of the way, let's continue. Next, we take the number 384,175 and divide it by 2:

384,175 ÷ 2 = 192,087.5

If the quotient is a whole number, then 2 and 192,087.5 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:

1 384,175
-1 -384,175

Now, we try dividing 384,175 by 3:

384,175 ÷ 3 = 128,058.3333

If the quotient is a whole number, then 3 and 128,058.3333 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:

1 384,175
-1 -384,175

Let's try dividing by 4:

384,175 ÷ 4 = 96,043.75

If the quotient is a whole number, then 4 and 96,043.75 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:

1 384,175
-1 384,175
Keep dividing by the next highest number until you cannot divide anymore.

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

151125551211272756056351,3973,0253,1756,98515,36734,92576,835384,175
-1-5-11-25-55-121-127-275-605-635-1,397-3,025-3,175-6,985-15,367-34,925-76,835-384,175

More Examples

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