Q: What are the factor combinations of the number 200,006,159?

 A:
Positive:   1 x 20000615941 x 4878199101 x 19802594141 x 48299
Negative: -1 x -200006159-41 x -4878199-101 x -1980259-4141 x -48299


How do I find the factor combinations of the number 200,006,159?

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 200,006,159, 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.

1 200,006,159
-1 -200,006,159

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 200,006,159.

Example:
1 x 200,006,159 = 200,006,159
and
-1 x -200,006,159 = 200,006,159
Notice both answers equal 200,006,159

With that explanation out of the way, let's continue. Next, we take the number 200,006,159 and divide it by 2:

200,006,159 ÷ 2 = 100,003,079.5

If the quotient is a whole number, then 2 and 100,003,079.5 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:

1 200,006,159
-1 -200,006,159

Now, we try dividing 200,006,159 by 3:

200,006,159 ÷ 3 = 66,668,719.6667

If the quotient is a whole number, then 3 and 66,668,719.6667 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:

1 200,006,159
-1 -200,006,159

Let's try dividing by 4:

200,006,159 ÷ 4 = 50,001,539.75

If the quotient is a whole number, then 4 and 50,001,539.75 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:

1 200,006,159
-1 200,006,159
Keep dividing by the next highest number until you cannot divide anymore.

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

1411014,14148,2991,980,2594,878,199200,006,159
-1-41-101-4,141-48,299-1,980,259-4,878,199-200,006,159

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 200,006,159:


Ask a Question