Q: What are the factor combinations of the number 333,134,315?

 A:
Positive:   1 x 3331343155 x 6662686319 x 1753338595 x 3506677229 x 14547351145 x 2909474351 x 7656515313 x 21755
Negative: -1 x -333134315-5 x -66626863-19 x -17533385-95 x -3506677-229 x -1454735-1145 x -290947-4351 x -76565-15313 x -21755


How do I find the factor combinations of the number 333,134,315?

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 333,134,315, 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.

1 333,134,315
-1 -333,134,315

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 333,134,315.

Example:
1 x 333,134,315 = 333,134,315
and
-1 x -333,134,315 = 333,134,315
Notice both answers equal 333,134,315

With that explanation out of the way, let's continue. Next, we take the number 333,134,315 and divide it by 2:

333,134,315 ÷ 2 = 166,567,157.5

If the quotient is a whole number, then 2 and 166,567,157.5 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:

1 333,134,315
-1 -333,134,315

Now, we try dividing 333,134,315 by 3:

333,134,315 ÷ 3 = 111,044,771.6667

If the quotient is a whole number, then 3 and 111,044,771.6667 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:

1 333,134,315
-1 -333,134,315

Let's try dividing by 4:

333,134,315 ÷ 4 = 83,283,578.75

If the quotient is a whole number, then 4 and 83,283,578.75 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:

1 333,134,315
-1 333,134,315
Keep dividing by the next highest number until you cannot divide anymore.

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

1519952291,1454,35115,31321,75576,565290,9471,454,7353,506,67717,533,38566,626,863333,134,315
-1-5-19-95-229-1,145-4,351-15,313-21,755-76,565-290,947-1,454,735-3,506,677-17,533,385-66,626,863-333,134,315

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