Q: What are the factor combinations of the number 330,300,113?

 A:
Positive:   1 x 33030011311 x 3002728313 x 2540770159 x 5598307121 x 2729753143 x 2309791649 x 508937767 x 4306391573 x 2099813559 x 928077139 x 462678437 x 39149
Negative: -1 x -330300113-11 x -30027283-13 x -25407701-59 x -5598307-121 x -2729753-143 x -2309791-649 x -508937-767 x -430639-1573 x -209981-3559 x -92807-7139 x -46267-8437 x -39149


How do I find the factor combinations of the number 330,300,113?

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 330,300,113, 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.

1 330,300,113
-1 -330,300,113

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 330,300,113.

Example:
1 x 330,300,113 = 330,300,113
and
-1 x -330,300,113 = 330,300,113
Notice both answers equal 330,300,113

With that explanation out of the way, let's continue. Next, we take the number 330,300,113 and divide it by 2:

330,300,113 ÷ 2 = 165,150,056.5

If the quotient is a whole number, then 2 and 165,150,056.5 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:

1 330,300,113
-1 -330,300,113

Now, we try dividing 330,300,113 by 3:

330,300,113 ÷ 3 = 110,100,037.6667

If the quotient is a whole number, then 3 and 110,100,037.6667 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:

1 330,300,113
-1 -330,300,113

Let's try dividing by 4:

330,300,113 ÷ 4 = 82,575,028.25

If the quotient is a whole number, then 4 and 82,575,028.25 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:

1 330,300,113
-1 330,300,113
Keep dividing by the next highest number until you cannot divide anymore.

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

11113591211436497671,5733,5597,1398,43739,14946,26792,807209,981430,639508,9372,309,7912,729,7535,598,30725,407,70130,027,283330,300,113
-1-11-13-59-121-143-649-767-1,573-3,559-7,139-8,437-39,149-46,267-92,807-209,981-430,639-508,937-2,309,791-2,729,753-5,598,307-25,407,701-30,027,283-330,300,113

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