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

 A:
Positive:   1 x 3223221255 x 6446442517 x 1896012525 x 1289288585 x 3792025125 x 2578577425 x 7584052125 x 151681
Negative: -1 x -322322125-5 x -64464425-17 x -18960125-25 x -12892885-85 x -3792025-125 x -2578577-425 x -758405-2125 x -151681


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

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 322,322,125, 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.

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

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 322,322,125.

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

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

322,322,125 ÷ 2 = 161,161,062.5

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

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

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

322,322,125 ÷ 3 = 107,440,708.3333

If the quotient is a whole number, then 3 and 107,440,708.3333 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:

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

Let's try dividing by 4:

322,322,125 ÷ 4 = 80,580,531.25

If the quotient is a whole number, then 4 and 80,580,531.25 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:

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

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

151725851254252,125151,681758,4052,578,5773,792,02512,892,88518,960,12564,464,425322,322,125
-1-5-17-25-85-125-425-2,125-151,681-758,405-2,578,577-3,792,025-12,892,885-18,960,125-64,464,425-322,322,125

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