Q: What are the factor combinations of the number 555,051,049?

 A:
Positive:   1 x 5550510497 x 79293007157 x 35353571099 x 505051
Negative: -1 x -555051049-7 x -79293007-157 x -3535357-1099 x -505051


How do I find the factor combinations of the number 555,051,049?

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 555,051,049, 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.

1 555,051,049
-1 -555,051,049

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 555,051,049.

Example:
1 x 555,051,049 = 555,051,049
and
-1 x -555,051,049 = 555,051,049
Notice both answers equal 555,051,049

With that explanation out of the way, let's continue. Next, we take the number 555,051,049 and divide it by 2:

555,051,049 ÷ 2 = 277,525,524.5

If the quotient is a whole number, then 2 and 277,525,524.5 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:

1 555,051,049
-1 -555,051,049

Now, we try dividing 555,051,049 by 3:

555,051,049 ÷ 3 = 185,017,016.3333

If the quotient is a whole number, then 3 and 185,017,016.3333 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:

1 555,051,049
-1 -555,051,049

Let's try dividing by 4:

555,051,049 ÷ 4 = 138,762,762.25

If the quotient is a whole number, then 4 and 138,762,762.25 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:

1 555,051,049
-1 555,051,049
Keep dividing by the next highest number until you cannot divide anymore.

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

171571,099505,0513,535,35779,293,007555,051,049
-1-7-157-1,099-505,051-3,535,357-79,293,007-555,051,049

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 555,051,049:


Ask a Question