Q: What are the factor combinations of the number 322,200,125?

 A:
Positive:   1 x 3222001255 x 6444002513 x 2478462525 x 1288800565 x 4956925125 x 2577601325 x 9913851625 x 198277
Negative: -1 x -322200125-5 x -64440025-13 x -24784625-25 x -12888005-65 x -4956925-125 x -2577601-325 x -991385-1625 x -198277


How do I find the factor combinations of the number 322,200,125?

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 322,200,125, 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.

1 322,200,125
-1 -322,200,125

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 322,200,125.

Example:
1 x 322,200,125 = 322,200,125
and
-1 x -322,200,125 = 322,200,125
Notice both answers equal 322,200,125

With that explanation out of the way, let's continue. Next, we take the number 322,200,125 and divide it by 2:

322,200,125 ÷ 2 = 161,100,062.5

If the quotient is a whole number, then 2 and 161,100,062.5 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:

1 322,200,125
-1 -322,200,125

Now, we try dividing 322,200,125 by 3:

322,200,125 ÷ 3 = 107,400,041.6667

If the quotient is a whole number, then 3 and 107,400,041.6667 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:

1 322,200,125
-1 -322,200,125

Let's try dividing by 4:

322,200,125 ÷ 4 = 80,550,031.25

If the quotient is a whole number, then 4 and 80,550,031.25 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:

1 322,200,125
-1 322,200,125
Keep dividing by the next highest number until you cannot divide anymore.

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

151325651253251,625198,277991,3852,577,6014,956,92512,888,00524,784,62564,440,025322,200,125
-1-5-13-25-65-125-325-1,625-198,277-991,385-2,577,601-4,956,925-12,888,005-24,784,625-64,440,025-322,200,125

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