Q: What are the factor combinations of the number 333,508,145?

 A:
Positive:   1 x 3335081455 x 6670162941 x 8134345205 x 1626869461 x 7234452305 x 1446893529 x 9450517645 x 18901
Negative: -1 x -333508145-5 x -66701629-41 x -8134345-205 x -1626869-461 x -723445-2305 x -144689-3529 x -94505-17645 x -18901


How do I find the factor combinations of the number 333,508,145?

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 333,508,145, 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.

1 333,508,145
-1 -333,508,145

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 333,508,145.

Example:
1 x 333,508,145 = 333,508,145
and
-1 x -333,508,145 = 333,508,145
Notice both answers equal 333,508,145

With that explanation out of the way, let's continue. Next, we take the number 333,508,145 and divide it by 2:

333,508,145 ÷ 2 = 166,754,072.5

If the quotient is a whole number, then 2 and 166,754,072.5 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:

1 333,508,145
-1 -333,508,145

Now, we try dividing 333,508,145 by 3:

333,508,145 ÷ 3 = 111,169,381.6667

If the quotient is a whole number, then 3 and 111,169,381.6667 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:

1 333,508,145
-1 -333,508,145

Let's try dividing by 4:

333,508,145 ÷ 4 = 83,377,036.25

If the quotient is a whole number, then 4 and 83,377,036.25 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:

1 333,508,145
-1 333,508,145
Keep dividing by the next highest number until you cannot divide anymore.

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

15412054612,3053,52917,64518,90194,505144,689723,4451,626,8698,134,34566,701,629333,508,145
-1-5-41-205-461-2,305-3,529-17,645-18,901-94,505-144,689-723,445-1,626,869-8,134,345-66,701,629-333,508,145

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