Q: What are the factor combinations of the number 120,122,431?

 A:
Positive:   1 x 12012243111 x 1092022113 x 9240187101 x 1189331143 x 8400171111 x 1081211313 x 914878317 x 14443
Negative: -1 x -120122431-11 x -10920221-13 x -9240187-101 x -1189331-143 x -840017-1111 x -108121-1313 x -91487-8317 x -14443


How do I find the factor combinations of the number 120,122,431?

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 120,122,431, 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.

1 120,122,431
-1 -120,122,431

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 120,122,431.

Example:
1 x 120,122,431 = 120,122,431
and
-1 x -120,122,431 = 120,122,431
Notice both answers equal 120,122,431

With that explanation out of the way, let's continue. Next, we take the number 120,122,431 and divide it by 2:

120,122,431 ÷ 2 = 60,061,215.5

If the quotient is a whole number, then 2 and 60,061,215.5 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:

1 120,122,431
-1 -120,122,431

Now, we try dividing 120,122,431 by 3:

120,122,431 ÷ 3 = 40,040,810.3333

If the quotient is a whole number, then 3 and 40,040,810.3333 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:

1 120,122,431
-1 -120,122,431

Let's try dividing by 4:

120,122,431 ÷ 4 = 30,030,607.75

If the quotient is a whole number, then 4 and 30,030,607.75 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:

1 120,122,431
-1 120,122,431
Keep dividing by the next highest number until you cannot divide anymore.

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

111131011431,1111,3138,31714,44391,487108,121840,0171,189,3319,240,18710,920,221120,122,431
-1-11-13-101-143-1,111-1,313-8,317-14,443-91,487-108,121-840,017-1,189,331-9,240,187-10,920,221-120,122,431

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 120,122,431:


Ask a Question