Q: What are the factor combinations of the number 200,507,405?

 A:
Positive:   1 x 2005074055 x 401014817 x 2864391535 x 572878347 x 4266115235 x 853223329 x 6094451645 x 121889
Negative: -1 x -200507405-5 x -40101481-7 x -28643915-35 x -5728783-47 x -4266115-235 x -853223-329 x -609445-1645 x -121889


How do I find the factor combinations of the number 200,507,405?

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 200,507,405, 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.

1 200,507,405
-1 -200,507,405

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 200,507,405.

Example:
1 x 200,507,405 = 200,507,405
and
-1 x -200,507,405 = 200,507,405
Notice both answers equal 200,507,405

With that explanation out of the way, let's continue. Next, we take the number 200,507,405 and divide it by 2:

200,507,405 ÷ 2 = 100,253,702.5

If the quotient is a whole number, then 2 and 100,253,702.5 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:

1 200,507,405
-1 -200,507,405

Now, we try dividing 200,507,405 by 3:

200,507,405 ÷ 3 = 66,835,801.6667

If the quotient is a whole number, then 3 and 66,835,801.6667 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:

1 200,507,405
-1 -200,507,405

Let's try dividing by 4:

200,507,405 ÷ 4 = 50,126,851.25

If the quotient is a whole number, then 4 and 50,126,851.25 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:

1 200,507,405
-1 200,507,405
Keep dividing by the next highest number until you cannot divide anymore.

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

15735472353291,645121,889609,445853,2234,266,1155,728,78328,643,91540,101,481200,507,405
-1-5-7-35-47-235-329-1,645-121,889-609,445-853,223-4,266,115-5,728,783-28,643,915-40,101,481-200,507,405

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 200,507,405:


Ask a Question