Q: What are the factor combinations of the number 325,975?

 A:
Positive:   1 x 3259755 x 6519513 x 2507517 x 1917525 x 1303959 x 552565 x 501585 x 3835221 x 1475295 x 1105325 x 1003425 x 767
Negative: -1 x -325975-5 x -65195-13 x -25075-17 x -19175-25 x -13039-59 x -5525-65 x -5015-85 x -3835-221 x -1475-295 x -1105-325 x -1003-425 x -767


How do I find the factor combinations of the number 325,975?

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 325,975, 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.

1 325,975
-1 -325,975

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 325,975.

Example:
1 x 325,975 = 325,975
and
-1 x -325,975 = 325,975
Notice both answers equal 325,975

With that explanation out of the way, let's continue. Next, we take the number 325,975 and divide it by 2:

325,975 ÷ 2 = 162,987.5

If the quotient is a whole number, then 2 and 162,987.5 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:

1 325,975
-1 -325,975

Now, we try dividing 325,975 by 3:

325,975 ÷ 3 = 108,658.3333

If the quotient is a whole number, then 3 and 108,658.3333 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:

1 325,975
-1 -325,975

Let's try dividing by 4:

325,975 ÷ 4 = 81,493.75

If the quotient is a whole number, then 4 and 81,493.75 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:

1 325,975
-1 325,975
Keep dividing by the next highest number until you cannot divide anymore.

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

151317255965852212953254257671,0031,1051,4753,8355,0155,52513,03919,17525,07565,195325,975
-1-5-13-17-25-59-65-85-221-295-325-425-767-1,003-1,105-1,475-3,835-5,015-5,525-13,039-19,175-25,075-65,195-325,975

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