Q: What are the factor combinations of the number 720,545?

 A:
Positive:   1 x 7205455 x 1441097 x 10293517 x 4238535 x 2058749 x 1470585 x 8477119 x 6055173 x 4165245 x 2941595 x 1211833 x 865
Negative: -1 x -720545-5 x -144109-7 x -102935-17 x -42385-35 x -20587-49 x -14705-85 x -8477-119 x -6055-173 x -4165-245 x -2941-595 x -1211-833 x -865


How do I find the factor combinations of the number 720,545?

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 720,545, 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.

1 720,545
-1 -720,545

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 720,545.

Example:
1 x 720,545 = 720,545
and
-1 x -720,545 = 720,545
Notice both answers equal 720,545

With that explanation out of the way, let's continue. Next, we take the number 720,545 and divide it by 2:

720,545 ÷ 2 = 360,272.5

If the quotient is a whole number, then 2 and 360,272.5 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:

1 720,545
-1 -720,545

Now, we try dividing 720,545 by 3:

720,545 ÷ 3 = 240,181.6667

If the quotient is a whole number, then 3 and 240,181.6667 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:

1 720,545
-1 -720,545

Let's try dividing by 4:

720,545 ÷ 4 = 180,136.25

If the quotient is a whole number, then 4 and 180,136.25 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:

1 720,545
-1 720,545
Keep dividing by the next highest number until you cannot divide anymore.

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

157173549851191732455958338651,2112,9414,1656,0558,47714,70520,58742,385102,935144,109720,545
-1-5-7-17-35-49-85-119-173-245-595-833-865-1,211-2,941-4,165-6,055-8,477-14,705-20,587-42,385-102,935-144,109-720,545

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 720,545:


Ask a Question