Q: What are the factor combinations of the number 32,040,755?

 A:
Positive:   1 x 320407555 x 64081511511 x 212054241 x 7555
Negative: -1 x -32040755-5 x -6408151-1511 x -21205-4241 x -7555


How do I find the factor combinations of the number 32,040,755?

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 32,040,755, 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 32,040,755
-1 -32,040,755

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 32,040,755.

Example:
1 x 32,040,755 = 32,040,755
and
-1 x -32,040,755 = 32,040,755
Notice both answers equal 32,040,755

With that explanation out of the way, let's continue. Next, we take the number 32,040,755 and divide it by 2:

32,040,755 ÷ 2 = 16,020,377.5

If the quotient is a whole number, then 2 and 16,020,377.5 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 32,040,755
-1 -32,040,755

Now, we try dividing 32,040,755 by 3:

32,040,755 ÷ 3 = 10,680,251.6667

If the quotient is a whole number, then 3 and 10,680,251.6667 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 32,040,755
-1 -32,040,755

Let's try dividing by 4:

32,040,755 ÷ 4 = 8,010,188.75

If the quotient is a whole number, then 4 and 8,010,188.75 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 32,040,755
-1 32,040,755
Keep dividing by the next highest number until you cannot divide anymore.

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

151,5114,2417,55521,2056,408,15132,040,755
-1-5-1,511-4,241-7,555-21,205-6,408,151-32,040,755

More Examples

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