Q: What are the factor combinations of the number 720,250,543?

 A:
Positive:   1 x 72025054317 x 4236767923 x 31315241391 x 1842073
Negative: -1 x -720250543-17 x -42367679-23 x -31315241-391 x -1842073


How do I find the factor combinations of the number 720,250,543?

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 720,250,543, 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.

1 720,250,543
-1 -720,250,543

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 720,250,543.

Example:
1 x 720,250,543 = 720,250,543
and
-1 x -720,250,543 = 720,250,543
Notice both answers equal 720,250,543

With that explanation out of the way, let's continue. Next, we take the number 720,250,543 and divide it by 2:

720,250,543 ÷ 2 = 360,125,271.5

If the quotient is a whole number, then 2 and 360,125,271.5 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:

1 720,250,543
-1 -720,250,543

Now, we try dividing 720,250,543 by 3:

720,250,543 ÷ 3 = 240,083,514.3333

If the quotient is a whole number, then 3 and 240,083,514.3333 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:

1 720,250,543
-1 -720,250,543

Let's try dividing by 4:

720,250,543 ÷ 4 = 180,062,635.75

If the quotient is a whole number, then 4 and 180,062,635.75 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:

1 720,250,543
-1 720,250,543
Keep dividing by the next highest number until you cannot divide anymore.

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

117233911,842,07331,315,24142,367,679720,250,543
-1-17-23-391-1,842,073-31,315,241-42,367,679-720,250,543

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 720,250,543:


Ask a Question