Q: What are the factor combinations of the number 133,002,331?

 A:
Positive:   1 x 1330023317 x 1900033311 x 1209112177 x 1727303449 x 2962193143 x 423173847 x 345734939 x 26929
Negative: -1 x -133002331-7 x -19000333-11 x -12091121-77 x -1727303-449 x -296219-3143 x -42317-3847 x -34573-4939 x -26929


How do I find the factor combinations of the number 133,002,331?

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 133,002,331, 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.

1 133,002,331
-1 -133,002,331

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 133,002,331.

Example:
1 x 133,002,331 = 133,002,331
and
-1 x -133,002,331 = 133,002,331
Notice both answers equal 133,002,331

With that explanation out of the way, let's continue. Next, we take the number 133,002,331 and divide it by 2:

133,002,331 ÷ 2 = 66,501,165.5

If the quotient is a whole number, then 2 and 66,501,165.5 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:

1 133,002,331
-1 -133,002,331

Now, we try dividing 133,002,331 by 3:

133,002,331 ÷ 3 = 44,334,110.3333

If the quotient is a whole number, then 3 and 44,334,110.3333 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:

1 133,002,331
-1 -133,002,331

Let's try dividing by 4:

133,002,331 ÷ 4 = 33,250,582.75

If the quotient is a whole number, then 4 and 33,250,582.75 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:

1 133,002,331
-1 133,002,331
Keep dividing by the next highest number until you cannot divide anymore.

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

1711774493,1433,8474,93926,92934,57342,317296,2191,727,30312,091,12119,000,333133,002,331
-1-7-11-77-449-3,143-3,847-4,939-26,929-34,573-42,317-296,219-1,727,303-12,091,121-19,000,333-133,002,331

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 133,002,331:


Ask a Question