Q: What are the factor combinations of the number 150,530,765?

 A:
Positive:   1 x 1505307655 x 301061537 x 2150439511 x 1368461535 x 430087955 x 273692377 x 1954945385 x 390989
Negative: -1 x -150530765-5 x -30106153-7 x -21504395-11 x -13684615-35 x -4300879-55 x -2736923-77 x -1954945-385 x -390989


How do I find the factor combinations of the number 150,530,765?

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 150,530,765, 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.

1 150,530,765
-1 -150,530,765

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 150,530,765.

Example:
1 x 150,530,765 = 150,530,765
and
-1 x -150,530,765 = 150,530,765
Notice both answers equal 150,530,765

With that explanation out of the way, let's continue. Next, we take the number 150,530,765 and divide it by 2:

150,530,765 ÷ 2 = 75,265,382.5

If the quotient is a whole number, then 2 and 75,265,382.5 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:

1 150,530,765
-1 -150,530,765

Now, we try dividing 150,530,765 by 3:

150,530,765 ÷ 3 = 50,176,921.6667

If the quotient is a whole number, then 3 and 50,176,921.6667 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:

1 150,530,765
-1 -150,530,765

Let's try dividing by 4:

150,530,765 ÷ 4 = 37,632,691.25

If the quotient is a whole number, then 4 and 37,632,691.25 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:

1 150,530,765
-1 150,530,765
Keep dividing by the next highest number until you cannot divide anymore.

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

15711355577385390,9891,954,9452,736,9234,300,87913,684,61521,504,39530,106,153150,530,765
-1-5-7-11-35-55-77-385-390,989-1,954,945-2,736,923-4,300,879-13,684,615-21,504,395-30,106,153-150,530,765

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 150,530,765:


Ask a Question