Q: What are the factor combinations of the number 123,301,015?

 A:
Positive:   1 x 1233010155 x 2466020373 x 1689055211 x 584365365 x 3378111055 x 1168731601 x 770158005 x 15403
Negative: -1 x -123301015-5 x -24660203-73 x -1689055-211 x -584365-365 x -337811-1055 x -116873-1601 x -77015-8005 x -15403


How do I find the factor combinations of the number 123,301,015?

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 123,301,015, 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.

1 123,301,015
-1 -123,301,015

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 123,301,015.

Example:
1 x 123,301,015 = 123,301,015
and
-1 x -123,301,015 = 123,301,015
Notice both answers equal 123,301,015

With that explanation out of the way, let's continue. Next, we take the number 123,301,015 and divide it by 2:

123,301,015 ÷ 2 = 61,650,507.5

If the quotient is a whole number, then 2 and 61,650,507.5 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:

1 123,301,015
-1 -123,301,015

Now, we try dividing 123,301,015 by 3:

123,301,015 ÷ 3 = 41,100,338.3333

If the quotient is a whole number, then 3 and 41,100,338.3333 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:

1 123,301,015
-1 -123,301,015

Let's try dividing by 4:

123,301,015 ÷ 4 = 30,825,253.75

If the quotient is a whole number, then 4 and 30,825,253.75 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:

1 123,301,015
-1 123,301,015
Keep dividing by the next highest number until you cannot divide anymore.

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

15732113651,0551,6018,00515,40377,015116,873337,811584,3651,689,05524,660,203123,301,015
-1-5-73-211-365-1,055-1,601-8,005-15,403-77,015-116,873-337,811-584,365-1,689,055-24,660,203-123,301,015

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 123,301,015:


Ask a Question