Q: What are the factor combinations of the number 32,131,039?

 A:
Positive:   1 x 32131039673 x 47743
Negative: -1 x -32131039-673 x -47743


How do I find the factor combinations of the number 32,131,039?

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 32,131,039, 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 32,131,039
-1 -32,131,039

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 32,131,039.

Example:
1 x 32,131,039 = 32,131,039
and
-1 x -32,131,039 = 32,131,039
Notice both answers equal 32,131,039

With that explanation out of the way, let's continue. Next, we take the number 32,131,039 and divide it by 2:

32,131,039 ÷ 2 = 16,065,519.5

If the quotient is a whole number, then 2 and 16,065,519.5 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 32,131,039
-1 -32,131,039

Now, we try dividing 32,131,039 by 3:

32,131,039 ÷ 3 = 10,710,346.3333

If the quotient is a whole number, then 3 and 10,710,346.3333 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 32,131,039
-1 -32,131,039

Let's try dividing by 4:

32,131,039 ÷ 4 = 8,032,759.75

If the quotient is a whole number, then 4 and 8,032,759.75 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 32,131,039
-1 32,131,039
Keep dividing by the next highest number until you cannot divide anymore.

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

167347,74332,131,039
-1-673-47,743-32,131,039

More Examples

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