Q: What are the factor combinations of the number 120,322,039?

 A:
Positive:   1 x 12032203917 x 707776723 x 523139337 x 3251947391 x 307729629 x 191291851 x 1413898317 x 14467
Negative: -1 x -120322039-17 x -7077767-23 x -5231393-37 x -3251947-391 x -307729-629 x -191291-851 x -141389-8317 x -14467


How do I find the factor combinations of the number 120,322,039?

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 120,322,039, 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.

1 120,322,039
-1 -120,322,039

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 120,322,039.

Example:
1 x 120,322,039 = 120,322,039
and
-1 x -120,322,039 = 120,322,039
Notice both answers equal 120,322,039

With that explanation out of the way, let's continue. Next, we take the number 120,322,039 and divide it by 2:

120,322,039 ÷ 2 = 60,161,019.5

If the quotient is a whole number, then 2 and 60,161,019.5 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:

1 120,322,039
-1 -120,322,039

Now, we try dividing 120,322,039 by 3:

120,322,039 ÷ 3 = 40,107,346.3333

If the quotient is a whole number, then 3 and 40,107,346.3333 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:

1 120,322,039
-1 -120,322,039

Let's try dividing by 4:

120,322,039 ÷ 4 = 30,080,509.75

If the quotient is a whole number, then 4 and 30,080,509.75 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:

1 120,322,039
-1 120,322,039
Keep dividing by the next highest number until you cannot divide anymore.

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

11723373916298518,31714,467141,389191,291307,7293,251,9475,231,3937,077,767120,322,039
-1-17-23-37-391-629-851-8,317-14,467-141,389-191,291-307,729-3,251,947-5,231,393-7,077,767-120,322,039

More Examples

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