Q: What are the factor combinations of the number 733,137,211?

 A:
Positive:   1 x 73313721119 x 38586169103 x 7117837361 x 20308511957 x 37462319717 x 37183
Negative: -1 x -733137211-19 x -38586169-103 x -7117837-361 x -2030851-1957 x -374623-19717 x -37183


How do I find the factor combinations of the number 733,137,211?

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 733,137,211, 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.

1 733,137,211
-1 -733,137,211

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 733,137,211.

Example:
1 x 733,137,211 = 733,137,211
and
-1 x -733,137,211 = 733,137,211
Notice both answers equal 733,137,211

With that explanation out of the way, let's continue. Next, we take the number 733,137,211 and divide it by 2:

733,137,211 ÷ 2 = 366,568,605.5

If the quotient is a whole number, then 2 and 366,568,605.5 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:

1 733,137,211
-1 -733,137,211

Now, we try dividing 733,137,211 by 3:

733,137,211 ÷ 3 = 244,379,070.3333

If the quotient is a whole number, then 3 and 244,379,070.3333 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:

1 733,137,211
-1 -733,137,211

Let's try dividing by 4:

733,137,211 ÷ 4 = 183,284,302.75

If the quotient is a whole number, then 4 and 183,284,302.75 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:

1 733,137,211
-1 733,137,211
Keep dividing by the next highest number until you cannot divide anymore.

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

1191033611,95719,71737,183374,6232,030,8517,117,83738,586,169733,137,211
-1-19-103-361-1,957-19,717-37,183-374,623-2,030,851-7,117,837-38,586,169-733,137,211

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 733,137,211:


Ask a Question