Q: What are the factor combinations of the number 733,546,122?

 A:
Positive:   1 x 7335461222 x 3667730613 x 2445153746 x 1222576872549 x 2877785098 x 1438897647 x 9592615294 x 47963
Negative: -1 x -733546122-2 x -366773061-3 x -244515374-6 x -122257687-2549 x -287778-5098 x -143889-7647 x -95926-15294 x -47963


How do I find the factor combinations of the number 733,546,122?

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 733,546,122, 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.

1 733,546,122
-1 -733,546,122

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 733,546,122.

Example:
1 x 733,546,122 = 733,546,122
and
-1 x -733,546,122 = 733,546,122
Notice both answers equal 733,546,122

With that explanation out of the way, let's continue. Next, we take the number 733,546,122 and divide it by 2:

733,546,122 ÷ 2 = 366,773,061

If the quotient is a whole number, then 2 and 366,773,061 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 366,773,061 733,546,122
-1 -2 -366,773,061 -733,546,122

Now, we try dividing 733,546,122 by 3:

733,546,122 ÷ 3 = 244,515,374

If the quotient is a whole number, then 3 and 244,515,374 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 244,515,374 366,773,061 733,546,122
-1 -2 -3 -244,515,374 -366,773,061 -733,546,122

Let's try dividing by 4:

733,546,122 ÷ 4 = 183,386,530.5

If the quotient is a whole number, then 4 and 183,386,530.5 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 2 3 244,515,374 366,773,061 733,546,122
-1 -2 -3 -244,515,374 -366,773,061 733,546,122
Keep dividing by the next highest number until you cannot divide anymore.

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

12362,5495,0987,64715,29447,96395,926143,889287,778122,257,687244,515,374366,773,061733,546,122
-1-2-3-6-2,549-5,098-7,647-15,294-47,963-95,926-143,889-287,778-122,257,687-244,515,374-366,773,061-733,546,122

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