Q: What are the factor combinations of the number 324,020,203?

 A:
Positive:   1 x 32402020313 x 24924631257 x 1260779293 x 1105871331 x 9789133341 x 969833809 x 850674303 x 75301
Negative: -1 x -324020203-13 x -24924631-257 x -1260779-293 x -1105871-331 x -978913-3341 x -96983-3809 x -85067-4303 x -75301


How do I find the factor combinations of the number 324,020,203?

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 324,020,203, 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.

1 324,020,203
-1 -324,020,203

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 324,020,203.

Example:
1 x 324,020,203 = 324,020,203
and
-1 x -324,020,203 = 324,020,203
Notice both answers equal 324,020,203

With that explanation out of the way, let's continue. Next, we take the number 324,020,203 and divide it by 2:

324,020,203 ÷ 2 = 162,010,101.5

If the quotient is a whole number, then 2 and 162,010,101.5 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:

1 324,020,203
-1 -324,020,203

Now, we try dividing 324,020,203 by 3:

324,020,203 ÷ 3 = 108,006,734.3333

If the quotient is a whole number, then 3 and 108,006,734.3333 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:

1 324,020,203
-1 -324,020,203

Let's try dividing by 4:

324,020,203 ÷ 4 = 81,005,050.75

If the quotient is a whole number, then 4 and 81,005,050.75 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:

1 324,020,203
-1 324,020,203
Keep dividing by the next highest number until you cannot divide anymore.

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

1132572933313,3413,8094,30375,30185,06796,983978,9131,105,8711,260,77924,924,631324,020,203
-1-13-257-293-331-3,341-3,809-4,303-75,301-85,067-96,983-978,913-1,105,871-1,260,779-24,924,631-324,020,203

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