Q: What are the factor combinations of the number 120,389,155?

 A:
Positive:   1 x 1203891555 x 2407783117 x 708171585 x 1416343433 x 2780352165 x 556073271 x 368057361 x 16355
Negative: -1 x -120389155-5 x -24077831-17 x -7081715-85 x -1416343-433 x -278035-2165 x -55607-3271 x -36805-7361 x -16355


How do I find the factor combinations of the number 120,389,155?

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 120,389,155, 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.

1 120,389,155
-1 -120,389,155

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 120,389,155.

Example:
1 x 120,389,155 = 120,389,155
and
-1 x -120,389,155 = 120,389,155
Notice both answers equal 120,389,155

With that explanation out of the way, let's continue. Next, we take the number 120,389,155 and divide it by 2:

120,389,155 ÷ 2 = 60,194,577.5

If the quotient is a whole number, then 2 and 60,194,577.5 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:

1 120,389,155
-1 -120,389,155

Now, we try dividing 120,389,155 by 3:

120,389,155 ÷ 3 = 40,129,718.3333

If the quotient is a whole number, then 3 and 40,129,718.3333 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:

1 120,389,155
-1 -120,389,155

Let's try dividing by 4:

120,389,155 ÷ 4 = 30,097,288.75

If the quotient is a whole number, then 4 and 30,097,288.75 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:

1 120,389,155
-1 120,389,155
Keep dividing by the next highest number until you cannot divide anymore.

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

1517854332,1653,2717,36116,35536,80555,607278,0351,416,3437,081,71524,077,831120,389,155
-1-5-17-85-433-2,165-3,271-7,361-16,355-36,805-55,607-278,035-1,416,343-7,081,715-24,077,831-120,389,155

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 120,389,155:


Ask a Question