Q: What are the factor combinations of the number 3,267,677?

 A:
Positive:   1 x 32676777 x 46681119 x 17198379 x 41363133 x 24569311 x 10507553 x 59091501 x 2177
Negative: -1 x -3267677-7 x -466811-19 x -171983-79 x -41363-133 x -24569-311 x -10507-553 x -5909-1501 x -2177


How do I find the factor combinations of the number 3,267,677?

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 3,267,677, 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 3,267,677
-1 -3,267,677

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 3,267,677.

Example:
1 x 3,267,677 = 3,267,677
and
-1 x -3,267,677 = 3,267,677
Notice both answers equal 3,267,677

With that explanation out of the way, let's continue. Next, we take the number 3,267,677 and divide it by 2:

3,267,677 ÷ 2 = 1,633,838.5

If the quotient is a whole number, then 2 and 1,633,838.5 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 3,267,677
-1 -3,267,677

Now, we try dividing 3,267,677 by 3:

3,267,677 ÷ 3 = 1,089,225.6667

If the quotient is a whole number, then 3 and 1,089,225.6667 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 3,267,677
-1 -3,267,677

Let's try dividing by 4:

3,267,677 ÷ 4 = 816,919.25

If the quotient is a whole number, then 4 and 816,919.25 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 3,267,677
-1 3,267,677
Keep dividing by the next highest number until you cannot divide anymore.

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

1719791333115531,5012,1775,90910,50724,56941,363171,983466,8113,267,677
-1-7-19-79-133-311-553-1,501-2,177-5,909-10,507-24,569-41,363-171,983-466,811-3,267,677

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 3,267,677:


Ask a Question