Q: What are the factor combinations of the number 500,350,543?

 A:
Positive:   1 x 5003505437 x 7147864911 x 4548641329 x 1725346777 x 6498059203 x 2464781319 x 15684972233 x 224071
Negative: -1 x -500350543-7 x -71478649-11 x -45486413-29 x -17253467-77 x -6498059-203 x -2464781-319 x -1568497-2233 x -224071


How do I find the factor combinations of the number 500,350,543?

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 500,350,543, 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.

1 500,350,543
-1 -500,350,543

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 500,350,543.

Example:
1 x 500,350,543 = 500,350,543
and
-1 x -500,350,543 = 500,350,543
Notice both answers equal 500,350,543

With that explanation out of the way, let's continue. Next, we take the number 500,350,543 and divide it by 2:

500,350,543 ÷ 2 = 250,175,271.5

If the quotient is a whole number, then 2 and 250,175,271.5 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:

1 500,350,543
-1 -500,350,543

Now, we try dividing 500,350,543 by 3:

500,350,543 ÷ 3 = 166,783,514.3333

If the quotient is a whole number, then 3 and 166,783,514.3333 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:

1 500,350,543
-1 -500,350,543

Let's try dividing by 4:

500,350,543 ÷ 4 = 125,087,635.75

If the quotient is a whole number, then 4 and 125,087,635.75 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:

1 500,350,543
-1 500,350,543
Keep dividing by the next highest number until you cannot divide anymore.

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

171129772033192,233224,0711,568,4972,464,7816,498,05917,253,46745,486,41371,478,649500,350,543
-1-7-11-29-77-203-319-2,233-224,071-1,568,497-2,464,781-6,498,059-17,253,467-45,486,413-71,478,649-500,350,543

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 500,350,543:


Ask a Question