Q: What are the factor combinations of the number 14,050,333?

 A:
Positive:   1 x 1405033311 x 1277303103 x 1364111133 x 12401
Negative: -1 x -14050333-11 x -1277303-103 x -136411-1133 x -12401


How do I find the factor combinations of the number 14,050,333?

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 14,050,333, 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 14,050,333
-1 -14,050,333

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 14,050,333.

Example:
1 x 14,050,333 = 14,050,333
and
-1 x -14,050,333 = 14,050,333
Notice both answers equal 14,050,333

With that explanation out of the way, let's continue. Next, we take the number 14,050,333 and divide it by 2:

14,050,333 ÷ 2 = 7,025,166.5

If the quotient is a whole number, then 2 and 7,025,166.5 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 14,050,333
-1 -14,050,333

Now, we try dividing 14,050,333 by 3:

14,050,333 ÷ 3 = 4,683,444.3333

If the quotient is a whole number, then 3 and 4,683,444.3333 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 14,050,333
-1 -14,050,333

Let's try dividing by 4:

14,050,333 ÷ 4 = 3,512,583.25

If the quotient is a whole number, then 4 and 3,512,583.25 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 14,050,333
-1 14,050,333
Keep dividing by the next highest number until you cannot divide anymore.

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

1111031,13312,401136,4111,277,30314,050,333
-1-11-103-1,133-12,401-136,411-1,277,303-14,050,333

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 14,050,333:


Ask a Question