Q: What are the factor combinations of the number 32,031,215?

 A:
Positive:   1 x 320312155 x 640624331 x 1033265155 x 206653197 x 162595985 x 325191049 x 305355245 x 6107
Negative: -1 x -32031215-5 x -6406243-31 x -1033265-155 x -206653-197 x -162595-985 x -32519-1049 x -30535-5245 x -6107


How do I find the factor combinations of the number 32,031,215?

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 32,031,215, 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 32,031,215
-1 -32,031,215

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 32,031,215.

Example:
1 x 32,031,215 = 32,031,215
and
-1 x -32,031,215 = 32,031,215
Notice both answers equal 32,031,215

With that explanation out of the way, let's continue. Next, we take the number 32,031,215 and divide it by 2:

32,031,215 ÷ 2 = 16,015,607.5

If the quotient is a whole number, then 2 and 16,015,607.5 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 32,031,215
-1 -32,031,215

Now, we try dividing 32,031,215 by 3:

32,031,215 ÷ 3 = 10,677,071.6667

If the quotient is a whole number, then 3 and 10,677,071.6667 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 32,031,215
-1 -32,031,215

Let's try dividing by 4:

32,031,215 ÷ 4 = 8,007,803.75

If the quotient is a whole number, then 4 and 8,007,803.75 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 32,031,215
-1 32,031,215
Keep dividing by the next highest number until you cannot divide anymore.

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

15311551979851,0495,2456,10730,53532,519162,595206,6531,033,2656,406,24332,031,215
-1-5-31-155-197-985-1,049-5,245-6,107-30,535-32,519-162,595-206,653-1,033,265-6,406,243-32,031,215

More Examples

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