Q: What are the factor combinations of the number 122,023,121?

 A:
Positive:   1 x 12202312111 x 1109301143 x 2837747107 x 1140403473 x 2579771177 x 1036732411 x 506114601 x 26521
Negative: -1 x -122023121-11 x -11093011-43 x -2837747-107 x -1140403-473 x -257977-1177 x -103673-2411 x -50611-4601 x -26521


How do I find the factor combinations of the number 122,023,121?

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 122,023,121, 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.

1 122,023,121
-1 -122,023,121

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 122,023,121.

Example:
1 x 122,023,121 = 122,023,121
and
-1 x -122,023,121 = 122,023,121
Notice both answers equal 122,023,121

With that explanation out of the way, let's continue. Next, we take the number 122,023,121 and divide it by 2:

122,023,121 ÷ 2 = 61,011,560.5

If the quotient is a whole number, then 2 and 61,011,560.5 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:

1 122,023,121
-1 -122,023,121

Now, we try dividing 122,023,121 by 3:

122,023,121 ÷ 3 = 40,674,373.6667

If the quotient is a whole number, then 3 and 40,674,373.6667 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:

1 122,023,121
-1 -122,023,121

Let's try dividing by 4:

122,023,121 ÷ 4 = 30,505,780.25

If the quotient is a whole number, then 4 and 30,505,780.25 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:

1 122,023,121
-1 122,023,121
Keep dividing by the next highest number until you cannot divide anymore.

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

111431074731,1772,4114,60126,52150,611103,673257,9771,140,4032,837,74711,093,011122,023,121
-1-11-43-107-473-1,177-2,411-4,601-26,521-50,611-103,673-257,977-1,140,403-2,837,747-11,093,011-122,023,121

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 122,023,121:


Ask a Question