Q: What are the factor combinations of the number 332,312,015?

 A:
Positive:   1 x 3323120155 x 664624037 x 4747314529 x 1145903535 x 9494629145 x 2291807203 x 16370051015 x 327401
Negative: -1 x -332312015-5 x -66462403-7 x -47473145-29 x -11459035-35 x -9494629-145 x -2291807-203 x -1637005-1015 x -327401


How do I find the factor combinations of the number 332,312,015?

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 332,312,015, 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.

1 332,312,015
-1 -332,312,015

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 332,312,015.

Example:
1 x 332,312,015 = 332,312,015
and
-1 x -332,312,015 = 332,312,015
Notice both answers equal 332,312,015

With that explanation out of the way, let's continue. Next, we take the number 332,312,015 and divide it by 2:

332,312,015 ÷ 2 = 166,156,007.5

If the quotient is a whole number, then 2 and 166,156,007.5 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:

1 332,312,015
-1 -332,312,015

Now, we try dividing 332,312,015 by 3:

332,312,015 ÷ 3 = 110,770,671.6667

If the quotient is a whole number, then 3 and 110,770,671.6667 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:

1 332,312,015
-1 -332,312,015

Let's try dividing by 4:

332,312,015 ÷ 4 = 83,078,003.75

If the quotient is a whole number, then 4 and 83,078,003.75 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:

1 332,312,015
-1 332,312,015
Keep dividing by the next highest number until you cannot divide anymore.

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

15729351452031,015327,4011,637,0052,291,8079,494,62911,459,03547,473,14566,462,403332,312,015
-1-5-7-29-35-145-203-1,015-327,401-1,637,005-2,291,807-9,494,629-11,459,035-47,473,145-66,462,403-332,312,015

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