Q: What are the factor combinations of the number 201,329,303?

 A:
Positive:   1 x 2013293037 x 2876132989 x 2262127461 x 436723623 x 323161701 x 2872033227 x 623894907 x 41029
Negative: -1 x -201329303-7 x -28761329-89 x -2262127-461 x -436723-623 x -323161-701 x -287203-3227 x -62389-4907 x -41029


How do I find the factor combinations of the number 201,329,303?

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 201,329,303, 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.

1 201,329,303
-1 -201,329,303

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 201,329,303.

Example:
1 x 201,329,303 = 201,329,303
and
-1 x -201,329,303 = 201,329,303
Notice both answers equal 201,329,303

With that explanation out of the way, let's continue. Next, we take the number 201,329,303 and divide it by 2:

201,329,303 ÷ 2 = 100,664,651.5

If the quotient is a whole number, then 2 and 100,664,651.5 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:

1 201,329,303
-1 -201,329,303

Now, we try dividing 201,329,303 by 3:

201,329,303 ÷ 3 = 67,109,767.6667

If the quotient is a whole number, then 3 and 67,109,767.6667 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:

1 201,329,303
-1 -201,329,303

Let's try dividing by 4:

201,329,303 ÷ 4 = 50,332,325.75

If the quotient is a whole number, then 4 and 50,332,325.75 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:

1 201,329,303
-1 201,329,303
Keep dividing by the next highest number until you cannot divide anymore.

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

17894616237013,2274,90741,02962,389287,203323,161436,7232,262,12728,761,329201,329,303
-1-7-89-461-623-701-3,227-4,907-41,029-62,389-287,203-323,161-436,723-2,262,127-28,761,329-201,329,303

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 201,329,303:


Ask a Question