Q: What are the factor combinations of the number 333,164,155?

 A:
Positive:   1 x 3331641555 x 6663283141 x 8125955101 x 3298655205 x 1625191505 x 6597314141 x 8045516091 x 20705
Negative: -1 x -333164155-5 x -66632831-41 x -8125955-101 x -3298655-205 x -1625191-505 x -659731-4141 x -80455-16091 x -20705


How do I find the factor combinations of the number 333,164,155?

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 333,164,155, 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.

1 333,164,155
-1 -333,164,155

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 333,164,155.

Example:
1 x 333,164,155 = 333,164,155
and
-1 x -333,164,155 = 333,164,155
Notice both answers equal 333,164,155

With that explanation out of the way, let's continue. Next, we take the number 333,164,155 and divide it by 2:

333,164,155 ÷ 2 = 166,582,077.5

If the quotient is a whole number, then 2 and 166,582,077.5 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:

1 333,164,155
-1 -333,164,155

Now, we try dividing 333,164,155 by 3:

333,164,155 ÷ 3 = 111,054,718.3333

If the quotient is a whole number, then 3 and 111,054,718.3333 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:

1 333,164,155
-1 -333,164,155

Let's try dividing by 4:

333,164,155 ÷ 4 = 83,291,038.75

If the quotient is a whole number, then 4 and 83,291,038.75 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:

1 333,164,155
-1 333,164,155
Keep dividing by the next highest number until you cannot divide anymore.

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

15411012055054,14116,09120,70580,455659,7311,625,1913,298,6558,125,95566,632,831333,164,155
-1-5-41-101-205-505-4,141-16,091-20,705-80,455-659,731-1,625,191-3,298,655-8,125,955-66,632,831-333,164,155

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