Q: What are the factor combinations of the number 32,044,685?

 A:
Positive:   1 x 320446855 x 6408937149 x 215065745 x 43013
Negative: -1 x -32044685-5 x -6408937-149 x -215065-745 x -43013


How do I find the factor combinations of the number 32,044,685?

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 32,044,685, 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 32,044,685
-1 -32,044,685

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 32,044,685.

Example:
1 x 32,044,685 = 32,044,685
and
-1 x -32,044,685 = 32,044,685
Notice both answers equal 32,044,685

With that explanation out of the way, let's continue. Next, we take the number 32,044,685 and divide it by 2:

32,044,685 ÷ 2 = 16,022,342.5

If the quotient is a whole number, then 2 and 16,022,342.5 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 32,044,685
-1 -32,044,685

Now, we try dividing 32,044,685 by 3:

32,044,685 ÷ 3 = 10,681,561.6667

If the quotient is a whole number, then 3 and 10,681,561.6667 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 32,044,685
-1 -32,044,685

Let's try dividing by 4:

32,044,685 ÷ 4 = 8,011,171.25

If the quotient is a whole number, then 4 and 8,011,171.25 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 32,044,685
-1 32,044,685
Keep dividing by the next highest number until you cannot divide anymore.

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

1514974543,013215,0656,408,93732,044,685
-1-5-149-745-43,013-215,065-6,408,937-32,044,685

More Examples

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