Q: What are the factor combinations of the number 452,021,027?

 A:
Positive:   1 x 45202102714249 x 31723
Negative: -1 x -452021027-14249 x -31723


How do I find the factor combinations of the number 452,021,027?

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 452,021,027, 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.

1 452,021,027
-1 -452,021,027

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 452,021,027.

Example:
1 x 452,021,027 = 452,021,027
and
-1 x -452,021,027 = 452,021,027
Notice both answers equal 452,021,027

With that explanation out of the way, let's continue. Next, we take the number 452,021,027 and divide it by 2:

452,021,027 ÷ 2 = 226,010,513.5

If the quotient is a whole number, then 2 and 226,010,513.5 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:

1 452,021,027
-1 -452,021,027

Now, we try dividing 452,021,027 by 3:

452,021,027 ÷ 3 = 150,673,675.6667

If the quotient is a whole number, then 3 and 150,673,675.6667 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:

1 452,021,027
-1 -452,021,027

Let's try dividing by 4:

452,021,027 ÷ 4 = 113,005,256.75

If the quotient is a whole number, then 4 and 113,005,256.75 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:

1 452,021,027
-1 452,021,027
Keep dividing by the next highest number until you cannot divide anymore.

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

114,24931,723452,021,027
-1-14,249-31,723-452,021,027

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 452,021,027:


Ask a Question