Q: What are the factor combinations of the number 12,001,505?

 A:
Positive:   1 x 120015055 x 240030129 x 41384537 x 324365145 x 82769185 x 648731073 x 111852237 x 5365
Negative: -1 x -12001505-5 x -2400301-29 x -413845-37 x -324365-145 x -82769-185 x -64873-1073 x -11185-2237 x -5365


How do I find the factor combinations of the number 12,001,505?

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 12,001,505, 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 12,001,505
-1 -12,001,505

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 12,001,505.

Example:
1 x 12,001,505 = 12,001,505
and
-1 x -12,001,505 = 12,001,505
Notice both answers equal 12,001,505

With that explanation out of the way, let's continue. Next, we take the number 12,001,505 and divide it by 2:

12,001,505 ÷ 2 = 6,000,752.5

If the quotient is a whole number, then 2 and 6,000,752.5 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 12,001,505
-1 -12,001,505

Now, we try dividing 12,001,505 by 3:

12,001,505 ÷ 3 = 4,000,501.6667

If the quotient is a whole number, then 3 and 4,000,501.6667 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 12,001,505
-1 -12,001,505

Let's try dividing by 4:

12,001,505 ÷ 4 = 3,000,376.25

If the quotient is a whole number, then 4 and 3,000,376.25 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 12,001,505
-1 12,001,505
Keep dividing by the next highest number until you cannot divide anymore.

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

1529371451851,0732,2375,36511,18564,87382,769324,365413,8452,400,30112,001,505
-1-5-29-37-145-185-1,073-2,237-5,365-11,185-64,873-82,769-324,365-413,845-2,400,301-12,001,505

More Examples

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