Q: What are the factor combinations of the number 3,006,671?

 A:
Positive:   1 x 300667117 x 176863149 x 201791187 x 2533
Negative: -1 x -3006671-17 x -176863-149 x -20179-1187 x -2533


How do I find the factor combinations of the number 3,006,671?

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 3,006,671, 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 3,006,671
-1 -3,006,671

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 3,006,671.

Example:
1 x 3,006,671 = 3,006,671
and
-1 x -3,006,671 = 3,006,671
Notice both answers equal 3,006,671

With that explanation out of the way, let's continue. Next, we take the number 3,006,671 and divide it by 2:

3,006,671 ÷ 2 = 1,503,335.5

If the quotient is a whole number, then 2 and 1,503,335.5 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 3,006,671
-1 -3,006,671

Now, we try dividing 3,006,671 by 3:

3,006,671 ÷ 3 = 1,002,223.6667

If the quotient is a whole number, then 3 and 1,002,223.6667 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 3,006,671
-1 -3,006,671

Let's try dividing by 4:

3,006,671 ÷ 4 = 751,667.75

If the quotient is a whole number, then 4 and 751,667.75 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 3,006,671
-1 3,006,671
Keep dividing by the next highest number until you cannot divide anymore.

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

1171491,1872,53320,179176,8633,006,671
-1-17-149-1,187-2,533-20,179-176,863-3,006,671

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 3,006,671:


Ask a Question