Q: What are the factor combinations of the number 120,322,031?

 A:
Positive:   1 x 12032203153 x 227022773 x 1648247137 x 878263227 x 5300533869 x 310997261 x 1657110001 x 12031
Negative: -1 x -120322031-53 x -2270227-73 x -1648247-137 x -878263-227 x -530053-3869 x -31099-7261 x -16571-10001 x -12031


How do I find the factor combinations of the number 120,322,031?

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 120,322,031, 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.

1 120,322,031
-1 -120,322,031

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 120,322,031.

Example:
1 x 120,322,031 = 120,322,031
and
-1 x -120,322,031 = 120,322,031
Notice both answers equal 120,322,031

With that explanation out of the way, let's continue. Next, we take the number 120,322,031 and divide it by 2:

120,322,031 ÷ 2 = 60,161,015.5

If the quotient is a whole number, then 2 and 60,161,015.5 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:

1 120,322,031
-1 -120,322,031

Now, we try dividing 120,322,031 by 3:

120,322,031 ÷ 3 = 40,107,343.6667

If the quotient is a whole number, then 3 and 40,107,343.6667 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:

1 120,322,031
-1 -120,322,031

Let's try dividing by 4:

120,322,031 ÷ 4 = 30,080,507.75

If the quotient is a whole number, then 4 and 30,080,507.75 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:

1 120,322,031
-1 120,322,031
Keep dividing by the next highest number until you cannot divide anymore.

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

153731372273,8697,26110,00112,03116,57131,099530,053878,2631,648,2472,270,227120,322,031
-1-53-73-137-227-3,869-7,261-10,001-12,031-16,571-31,099-530,053-878,263-1,648,247-2,270,227-120,322,031

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 120,322,031:


Ask a Question