Q: What are the factor combinations of the number 322,235,017?

 A:
Positive:   1 x 32223501713 x 2478730917 x 18955001167 x 1929551221 x 14580772171 x 1484272839 x 1135038731 x 36907
Negative: -1 x -322235017-13 x -24787309-17 x -18955001-167 x -1929551-221 x -1458077-2171 x -148427-2839 x -113503-8731 x -36907


How do I find the factor combinations of the number 322,235,017?

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 322,235,017, 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.

1 322,235,017
-1 -322,235,017

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 322,235,017.

Example:
1 x 322,235,017 = 322,235,017
and
-1 x -322,235,017 = 322,235,017
Notice both answers equal 322,235,017

With that explanation out of the way, let's continue. Next, we take the number 322,235,017 and divide it by 2:

322,235,017 ÷ 2 = 161,117,508.5

If the quotient is a whole number, then 2 and 161,117,508.5 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:

1 322,235,017
-1 -322,235,017

Now, we try dividing 322,235,017 by 3:

322,235,017 ÷ 3 = 107,411,672.3333

If the quotient is a whole number, then 3 and 107,411,672.3333 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:

1 322,235,017
-1 -322,235,017

Let's try dividing by 4:

322,235,017 ÷ 4 = 80,558,754.25

If the quotient is a whole number, then 4 and 80,558,754.25 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:

1 322,235,017
-1 322,235,017
Keep dividing by the next highest number until you cannot divide anymore.

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

113171672212,1712,8398,73136,907113,503148,4271,458,0771,929,55118,955,00124,787,309322,235,017
-1-13-17-167-221-2,171-2,839-8,731-36,907-113,503-148,427-1,458,077-1,929,551-18,955,001-24,787,309-322,235,017

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