Q: What are the factor combinations of the number 127,925?

 A:
Positive:   1 x 1279255 x 255857 x 1827517 x 752525 x 511735 x 365543 x 297585 x 1505119 x 1075175 x 731215 x 595301 x 425
Negative: -1 x -127925-5 x -25585-7 x -18275-17 x -7525-25 x -5117-35 x -3655-43 x -2975-85 x -1505-119 x -1075-175 x -731-215 x -595-301 x -425


How do I find the factor combinations of the number 127,925?

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 127,925, 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.

1 127,925
-1 -127,925

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 127,925.

Example:
1 x 127,925 = 127,925
and
-1 x -127,925 = 127,925
Notice both answers equal 127,925

With that explanation out of the way, let's continue. Next, we take the number 127,925 and divide it by 2:

127,925 ÷ 2 = 63,962.5

If the quotient is a whole number, then 2 and 63,962.5 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:

1 127,925
-1 -127,925

Now, we try dividing 127,925 by 3:

127,925 ÷ 3 = 42,641.6667

If the quotient is a whole number, then 3 and 42,641.6667 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:

1 127,925
-1 -127,925

Let's try dividing by 4:

127,925 ÷ 4 = 31,981.25

If the quotient is a whole number, then 4 and 31,981.25 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:

1 127,925
-1 127,925
Keep dividing by the next highest number until you cannot divide anymore.

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

15717253543851191752153014255957311,0751,5052,9753,6555,1177,52518,27525,585127,925
-1-5-7-17-25-35-43-85-119-175-215-301-425-595-731-1,075-1,505-2,975-3,655-5,117-7,525-18,275-25,585-127,925

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