Q: What are the factor combinations of the number 200,312,221?

 A:
Positive:   1 x 20031222123 x 8709227137 x 1462133151 x 1326571421 x 4758013151 x 635713473 x 576779683 x 20687
Negative: -1 x -200312221-23 x -8709227-137 x -1462133-151 x -1326571-421 x -475801-3151 x -63571-3473 x -57677-9683 x -20687


How do I find the factor combinations of the number 200,312,221?

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 200,312,221, 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.

1 200,312,221
-1 -200,312,221

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 200,312,221.

Example:
1 x 200,312,221 = 200,312,221
and
-1 x -200,312,221 = 200,312,221
Notice both answers equal 200,312,221

With that explanation out of the way, let's continue. Next, we take the number 200,312,221 and divide it by 2:

200,312,221 ÷ 2 = 100,156,110.5

If the quotient is a whole number, then 2 and 100,156,110.5 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:

1 200,312,221
-1 -200,312,221

Now, we try dividing 200,312,221 by 3:

200,312,221 ÷ 3 = 66,770,740.3333

If the quotient is a whole number, then 3 and 66,770,740.3333 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:

1 200,312,221
-1 -200,312,221

Let's try dividing by 4:

200,312,221 ÷ 4 = 50,078,055.25

If the quotient is a whole number, then 4 and 50,078,055.25 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:

1 200,312,221
-1 200,312,221
Keep dividing by the next highest number until you cannot divide anymore.

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

1231371514213,1513,4739,68320,68757,67763,571475,8011,326,5711,462,1338,709,227200,312,221
-1-23-137-151-421-3,151-3,473-9,683-20,687-57,677-63,571-475,801-1,326,571-1,462,133-8,709,227-200,312,221

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 200,312,221:


Ask a Question