Q: What are the factor combinations of the number 122,328,271?

 A:
Positive:   1 x 12232827113 x 9409867101 x 1211171151 x 810121617 x 1982631313 x 931671963 x 623178021 x 15251
Negative: -1 x -122328271-13 x -9409867-101 x -1211171-151 x -810121-617 x -198263-1313 x -93167-1963 x -62317-8021 x -15251


How do I find the factor combinations of the number 122,328,271?

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 122,328,271, 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.

1 122,328,271
-1 -122,328,271

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 122,328,271.

Example:
1 x 122,328,271 = 122,328,271
and
-1 x -122,328,271 = 122,328,271
Notice both answers equal 122,328,271

With that explanation out of the way, let's continue. Next, we take the number 122,328,271 and divide it by 2:

122,328,271 ÷ 2 = 61,164,135.5

If the quotient is a whole number, then 2 and 61,164,135.5 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:

1 122,328,271
-1 -122,328,271

Now, we try dividing 122,328,271 by 3:

122,328,271 ÷ 3 = 40,776,090.3333

If the quotient is a whole number, then 3 and 40,776,090.3333 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:

1 122,328,271
-1 -122,328,271

Let's try dividing by 4:

122,328,271 ÷ 4 = 30,582,067.75

If the quotient is a whole number, then 4 and 30,582,067.75 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:

1 122,328,271
-1 122,328,271
Keep dividing by the next highest number until you cannot divide anymore.

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

1131011516171,3131,9638,02115,25162,31793,167198,263810,1211,211,1719,409,867122,328,271
-1-13-101-151-617-1,313-1,963-8,021-15,251-62,317-93,167-198,263-810,121-1,211,171-9,409,867-122,328,271

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 122,328,271:


Ask a Question