Q: What are the factor combinations of the number 93,925?

 A:
Positive:   1 x 939255 x 1878513 x 722517 x 552525 x 375765 x 144585 x 1105221 x 425289 x 325
Negative: -1 x -93925-5 x -18785-13 x -7225-17 x -5525-25 x -3757-65 x -1445-85 x -1105-221 x -425-289 x -325


How do I find the factor combinations of the number 93,925?

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 93,925, 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 93,925
-1 -93,925

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 93,925.

Example:
1 x 93,925 = 93,925
and
-1 x -93,925 = 93,925
Notice both answers equal 93,925

With that explanation out of the way, let's continue. Next, we take the number 93,925 and divide it by 2:

93,925 ÷ 2 = 46,962.5

If the quotient is a whole number, then 2 and 46,962.5 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 93,925
-1 -93,925

Now, we try dividing 93,925 by 3:

93,925 ÷ 3 = 31,308.3333

If the quotient is a whole number, then 3 and 31,308.3333 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 93,925
-1 -93,925

Let's try dividing by 4:

93,925 ÷ 4 = 23,481.25

If the quotient is a whole number, then 4 and 23,481.25 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 93,925
-1 93,925
Keep dividing by the next highest number until you cannot divide anymore.

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

1513172565852212893254251,1051,4453,7575,5257,22518,78593,925
-1-5-13-17-25-65-85-221-289-325-425-1,105-1,445-3,757-5,525-7,225-18,785-93,925

More Examples

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