Q: What are the factor combinations of the number 200,015,567?

 A:
Positive:   1 x 20001556723 x 86963291789 x 1118034861 x 41147
Negative: -1 x -200015567-23 x -8696329-1789 x -111803-4861 x -41147


How do I find the factor combinations of the number 200,015,567?

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 200,015,567, 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.

1 200,015,567
-1 -200,015,567

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 200,015,567.

Example:
1 x 200,015,567 = 200,015,567
and
-1 x -200,015,567 = 200,015,567
Notice both answers equal 200,015,567

With that explanation out of the way, let's continue. Next, we take the number 200,015,567 and divide it by 2:

200,015,567 ÷ 2 = 100,007,783.5

If the quotient is a whole number, then 2 and 100,007,783.5 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:

1 200,015,567
-1 -200,015,567

Now, we try dividing 200,015,567 by 3:

200,015,567 ÷ 3 = 66,671,855.6667

If the quotient is a whole number, then 3 and 66,671,855.6667 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:

1 200,015,567
-1 -200,015,567

Let's try dividing by 4:

200,015,567 ÷ 4 = 50,003,891.75

If the quotient is a whole number, then 4 and 50,003,891.75 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:

1 200,015,567
-1 200,015,567
Keep dividing by the next highest number until you cannot divide anymore.

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

1231,7894,86141,147111,8038,696,329200,015,567
-1-23-1,789-4,861-41,147-111,803-8,696,329-200,015,567

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 200,015,567:


Ask a Question