Q: What are the factor combinations of the number 324,275?

 A:
Positive:   1 x 3242755 x 648557 x 4632517 x 1907525 x 1297135 x 926585 x 3815109 x 2975119 x 2725175 x 1853425 x 763545 x 595
Negative: -1 x -324275-5 x -64855-7 x -46325-17 x -19075-25 x -12971-35 x -9265-85 x -3815-109 x -2975-119 x -2725-175 x -1853-425 x -763-545 x -595


How do I find the factor combinations of the number 324,275?

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 324,275, 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.

1 324,275
-1 -324,275

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 324,275.

Example:
1 x 324,275 = 324,275
and
-1 x -324,275 = 324,275
Notice both answers equal 324,275

With that explanation out of the way, let's continue. Next, we take the number 324,275 and divide it by 2:

324,275 ÷ 2 = 162,137.5

If the quotient is a whole number, then 2 and 162,137.5 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:

1 324,275
-1 -324,275

Now, we try dividing 324,275 by 3:

324,275 ÷ 3 = 108,091.6667

If the quotient is a whole number, then 3 and 108,091.6667 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:

1 324,275
-1 -324,275

Let's try dividing by 4:

324,275 ÷ 4 = 81,068.75

If the quotient is a whole number, then 4 and 81,068.75 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:

1 324,275
-1 324,275
Keep dividing by the next highest number until you cannot divide anymore.

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

157172535851091191754255455957631,8532,7252,9753,8159,26512,97119,07546,32564,855324,275
-1-5-7-17-25-35-85-109-119-175-425-545-595-763-1,853-2,725-2,975-3,815-9,265-12,971-19,075-46,325-64,855-324,275

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