Q: What are the factor combinations of the number 327,275?

 A:
Positive:   1 x 3272755 x 6545513 x 2517519 x 1722525 x 1309153 x 617565 x 503595 x 3445247 x 1325265 x 1235325 x 1007475 x 689
Negative: -1 x -327275-5 x -65455-13 x -25175-19 x -17225-25 x -13091-53 x -6175-65 x -5035-95 x -3445-247 x -1325-265 x -1235-325 x -1007-475 x -689


How do I find the factor combinations of the number 327,275?

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 327,275, 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.

1 327,275
-1 -327,275

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 327,275.

Example:
1 x 327,275 = 327,275
and
-1 x -327,275 = 327,275
Notice both answers equal 327,275

With that explanation out of the way, let's continue. Next, we take the number 327,275 and divide it by 2:

327,275 ÷ 2 = 163,637.5

If the quotient is a whole number, then 2 and 163,637.5 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:

1 327,275
-1 -327,275

Now, we try dividing 327,275 by 3:

327,275 ÷ 3 = 109,091.6667

If the quotient is a whole number, then 3 and 109,091.6667 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:

1 327,275
-1 -327,275

Let's try dividing by 4:

327,275 ÷ 4 = 81,818.75

If the quotient is a whole number, then 4 and 81,818.75 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:

1 327,275
-1 327,275
Keep dividing by the next highest number until you cannot divide anymore.

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

151319255365952472653254756891,0071,2351,3253,4455,0356,17513,09117,22525,17565,455327,275
-1-5-13-19-25-53-65-95-247-265-325-475-689-1,007-1,235-1,325-3,445-5,035-6,175-13,091-17,225-25,175-65,455-327,275

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