Q: What are the factor combinations of the number 322,471,315?

 A:
Positive:   1 x 3224713155 x 6449426361 x 5286415305 x 1057283673 x 4791551571 x 2052653365 x 958317855 x 41053
Negative: -1 x -322471315-5 x -64494263-61 x -5286415-305 x -1057283-673 x -479155-1571 x -205265-3365 x -95831-7855 x -41053


How do I find the factor combinations of the number 322,471,315?

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 322,471,315, 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.

1 322,471,315
-1 -322,471,315

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 322,471,315.

Example:
1 x 322,471,315 = 322,471,315
and
-1 x -322,471,315 = 322,471,315
Notice both answers equal 322,471,315

With that explanation out of the way, let's continue. Next, we take the number 322,471,315 and divide it by 2:

322,471,315 ÷ 2 = 161,235,657.5

If the quotient is a whole number, then 2 and 161,235,657.5 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:

1 322,471,315
-1 -322,471,315

Now, we try dividing 322,471,315 by 3:

322,471,315 ÷ 3 = 107,490,438.3333

If the quotient is a whole number, then 3 and 107,490,438.3333 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:

1 322,471,315
-1 -322,471,315

Let's try dividing by 4:

322,471,315 ÷ 4 = 80,617,828.75

If the quotient is a whole number, then 4 and 80,617,828.75 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:

1 322,471,315
-1 322,471,315
Keep dividing by the next highest number until you cannot divide anymore.

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

15613056731,5713,3657,85541,05395,831205,265479,1551,057,2835,286,41564,494,263322,471,315
-1-5-61-305-673-1,571-3,365-7,855-41,053-95,831-205,265-479,155-1,057,283-5,286,415-64,494,263-322,471,315

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