Q: What are the factor combinations of the number 322,525?

 A:
Positive:   1 x 3225255 x 645057 x 4607519 x 1697525 x 1290135 x 921595 x 339597 x 3325133 x 2425175 x 1843475 x 679485 x 665
Negative: -1 x -322525-5 x -64505-7 x -46075-19 x -16975-25 x -12901-35 x -9215-95 x -3395-97 x -3325-133 x -2425-175 x -1843-475 x -679-485 x -665


How do I find the factor combinations of the number 322,525?

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 322,525, 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.

1 322,525
-1 -322,525

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 322,525.

Example:
1 x 322,525 = 322,525
and
-1 x -322,525 = 322,525
Notice both answers equal 322,525

With that explanation out of the way, let's continue. Next, we take the number 322,525 and divide it by 2:

322,525 ÷ 2 = 161,262.5

If the quotient is a whole number, then 2 and 161,262.5 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:

1 322,525
-1 -322,525

Now, we try dividing 322,525 by 3:

322,525 ÷ 3 = 107,508.3333

If the quotient is a whole number, then 3 and 107,508.3333 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:

1 322,525
-1 -322,525

Let's try dividing by 4:

322,525 ÷ 4 = 80,631.25

If the quotient is a whole number, then 4 and 80,631.25 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:

1 322,525
-1 322,525
Keep dividing by the next highest number until you cannot divide anymore.

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

15719253595971331754754856656791,8432,4253,3253,3959,21512,90116,97546,07564,505322,525
-1-5-7-19-25-35-95-97-133-175-475-485-665-679-1,843-2,425-3,325-3,395-9,215-12,901-16,975-46,075-64,505-322,525

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