Q: What are the factor combinations of the number 32,223,715?

 A:
Positive:   1 x 322237155 x 644474319 x 169598595 x 339197431 x 74765787 x 409452155 x 149533935 x 8189
Negative: -1 x -32223715-5 x -6444743-19 x -1695985-95 x -339197-431 x -74765-787 x -40945-2155 x -14953-3935 x -8189


How do I find the factor combinations of the number 32,223,715?

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 32,223,715, 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 32,223,715
-1 -32,223,715

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 32,223,715.

Example:
1 x 32,223,715 = 32,223,715
and
-1 x -32,223,715 = 32,223,715
Notice both answers equal 32,223,715

With that explanation out of the way, let's continue. Next, we take the number 32,223,715 and divide it by 2:

32,223,715 ÷ 2 = 16,111,857.5

If the quotient is a whole number, then 2 and 16,111,857.5 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 32,223,715
-1 -32,223,715

Now, we try dividing 32,223,715 by 3:

32,223,715 ÷ 3 = 10,741,238.3333

If the quotient is a whole number, then 3 and 10,741,238.3333 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 32,223,715
-1 -32,223,715

Let's try dividing by 4:

32,223,715 ÷ 4 = 8,055,928.75

If the quotient is a whole number, then 4 and 8,055,928.75 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 32,223,715
-1 32,223,715
Keep dividing by the next highest number until you cannot divide anymore.

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

1519954317872,1553,9358,18914,95340,94574,765339,1971,695,9856,444,74332,223,715
-1-5-19-95-431-787-2,155-3,935-8,189-14,953-40,945-74,765-339,197-1,695,985-6,444,743-32,223,715

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