Q: What are the factor combinations of the number 122,132,335?

 A:
Positive:   1 x 1221323355 x 2442646713 x 939479517 x 718425565 x 187895985 x 1436851221 x 5526351105 x 110527
Negative: -1 x -122132335-5 x -24426467-13 x -9394795-17 x -7184255-65 x -1878959-85 x -1436851-221 x -552635-1105 x -110527


How do I find the factor combinations of the number 122,132,335?

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 122,132,335, 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.

1 122,132,335
-1 -122,132,335

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 122,132,335.

Example:
1 x 122,132,335 = 122,132,335
and
-1 x -122,132,335 = 122,132,335
Notice both answers equal 122,132,335

With that explanation out of the way, let's continue. Next, we take the number 122,132,335 and divide it by 2:

122,132,335 ÷ 2 = 61,066,167.5

If the quotient is a whole number, then 2 and 61,066,167.5 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:

1 122,132,335
-1 -122,132,335

Now, we try dividing 122,132,335 by 3:

122,132,335 ÷ 3 = 40,710,778.3333

If the quotient is a whole number, then 3 and 40,710,778.3333 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:

1 122,132,335
-1 -122,132,335

Let's try dividing by 4:

122,132,335 ÷ 4 = 30,533,083.75

If the quotient is a whole number, then 4 and 30,533,083.75 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:

1 122,132,335
-1 122,132,335
Keep dividing by the next highest number until you cannot divide anymore.

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

15131765852211,105110,527552,6351,436,8511,878,9597,184,2559,394,79524,426,467122,132,335
-1-5-13-17-65-85-221-1,105-110,527-552,635-1,436,851-1,878,959-7,184,255-9,394,795-24,426,467-122,132,335

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 122,132,335:


Ask a Question