Q: What are the factor combinations of the number 3,350,501?

 A:
Positive:   1 x 33505017 x 47864311 x 30459153 x 6321777 x 43513371 x 9031583 x 5747821 x 4081
Negative: -1 x -3350501-7 x -478643-11 x -304591-53 x -63217-77 x -43513-371 x -9031-583 x -5747-821 x -4081


How do I find the factor combinations of the number 3,350,501?

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 3,350,501, 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 3,350,501
-1 -3,350,501

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 3,350,501.

Example:
1 x 3,350,501 = 3,350,501
and
-1 x -3,350,501 = 3,350,501
Notice both answers equal 3,350,501

With that explanation out of the way, let's continue. Next, we take the number 3,350,501 and divide it by 2:

3,350,501 ÷ 2 = 1,675,250.5

If the quotient is a whole number, then 2 and 1,675,250.5 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 3,350,501
-1 -3,350,501

Now, we try dividing 3,350,501 by 3:

3,350,501 ÷ 3 = 1,116,833.6667

If the quotient is a whole number, then 3 and 1,116,833.6667 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 3,350,501
-1 -3,350,501

Let's try dividing by 4:

3,350,501 ÷ 4 = 837,625.25

If the quotient is a whole number, then 4 and 837,625.25 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 3,350,501
-1 3,350,501
Keep dividing by the next highest number until you cannot divide anymore.

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

171153773715838214,0815,7479,03143,51363,217304,591478,6433,350,501
-1-7-11-53-77-371-583-821-4,081-5,747-9,031-43,513-63,217-304,591-478,643-3,350,501

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 3,350,501:


Ask a Question