Q: What are the factor combinations of the number 5,080,145?

 A:
Positive:   1 x 50801455 x 10160297 x 72573535 x 145147173 x 29365839 x 6055865 x 58731211 x 4195
Negative: -1 x -5080145-5 x -1016029-7 x -725735-35 x -145147-173 x -29365-839 x -6055-865 x -5873-1211 x -4195


How do I find the factor combinations of the number 5,080,145?

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 5,080,145, 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 5,080,145
-1 -5,080,145

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 5,080,145.

Example:
1 x 5,080,145 = 5,080,145
and
-1 x -5,080,145 = 5,080,145
Notice both answers equal 5,080,145

With that explanation out of the way, let's continue. Next, we take the number 5,080,145 and divide it by 2:

5,080,145 ÷ 2 = 2,540,072.5

If the quotient is a whole number, then 2 and 2,540,072.5 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 5,080,145
-1 -5,080,145

Now, we try dividing 5,080,145 by 3:

5,080,145 ÷ 3 = 1,693,381.6667

If the quotient is a whole number, then 3 and 1,693,381.6667 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 5,080,145
-1 -5,080,145

Let's try dividing by 4:

5,080,145 ÷ 4 = 1,270,036.25

If the quotient is a whole number, then 4 and 1,270,036.25 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 5,080,145
-1 5,080,145
Keep dividing by the next highest number until you cannot divide anymore.

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

157351738398651,2114,1955,8736,05529,365145,147725,7351,016,0295,080,145
-1-5-7-35-173-839-865-1,211-4,195-5,873-6,055-29,365-145,147-725,735-1,016,029-5,080,145

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 5,080,145:


Ask a Question