Q: What are the factor combinations of the number 32,777,507?

 A:
Positive:   1 x 327775077 x 468250123 x 1425109161 x 203587163 x 2010891141 x 287271249 x 262433749 x 8743
Negative: -1 x -32777507-7 x -4682501-23 x -1425109-161 x -203587-163 x -201089-1141 x -28727-1249 x -26243-3749 x -8743


How do I find the factor combinations of the number 32,777,507?

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 32,777,507, 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 32,777,507
-1 -32,777,507

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 32,777,507.

Example:
1 x 32,777,507 = 32,777,507
and
-1 x -32,777,507 = 32,777,507
Notice both answers equal 32,777,507

With that explanation out of the way, let's continue. Next, we take the number 32,777,507 and divide it by 2:

32,777,507 ÷ 2 = 16,388,753.5

If the quotient is a whole number, then 2 and 16,388,753.5 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 32,777,507
-1 -32,777,507

Now, we try dividing 32,777,507 by 3:

32,777,507 ÷ 3 = 10,925,835.6667

If the quotient is a whole number, then 3 and 10,925,835.6667 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 32,777,507
-1 -32,777,507

Let's try dividing by 4:

32,777,507 ÷ 4 = 8,194,376.75

If the quotient is a whole number, then 4 and 8,194,376.75 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 32,777,507
-1 32,777,507
Keep dividing by the next highest number until you cannot divide anymore.

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

17231611631,1411,2493,7498,74326,24328,727201,089203,5871,425,1094,682,50132,777,507
-1-7-23-161-163-1,141-1,249-3,749-8,743-26,243-28,727-201,089-203,587-1,425,109-4,682,501-32,777,507

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 32,777,507:


Ask a Question