Q: What are the factor combinations of the number 300,112,333?

 A:
Positive:   1 x 30011233331 x 968104341 x 7319813389 x 771497607 x 4944191271 x 23612312059 x 2488715949 x 18817
Negative: -1 x -300112333-31 x -9681043-41 x -7319813-389 x -771497-607 x -494419-1271 x -236123-12059 x -24887-15949 x -18817


How do I find the factor combinations of the number 300,112,333?

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 300,112,333, 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.

1 300,112,333
-1 -300,112,333

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 300,112,333.

Example:
1 x 300,112,333 = 300,112,333
and
-1 x -300,112,333 = 300,112,333
Notice both answers equal 300,112,333

With that explanation out of the way, let's continue. Next, we take the number 300,112,333 and divide it by 2:

300,112,333 ÷ 2 = 150,056,166.5

If the quotient is a whole number, then 2 and 150,056,166.5 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:

1 300,112,333
-1 -300,112,333

Now, we try dividing 300,112,333 by 3:

300,112,333 ÷ 3 = 100,037,444.3333

If the quotient is a whole number, then 3 and 100,037,444.3333 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:

1 300,112,333
-1 -300,112,333

Let's try dividing by 4:

300,112,333 ÷ 4 = 75,028,083.25

If the quotient is a whole number, then 4 and 75,028,083.25 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:

1 300,112,333
-1 300,112,333
Keep dividing by the next highest number until you cannot divide anymore.

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

131413896071,27112,05915,94918,81724,887236,123494,419771,4977,319,8139,681,043300,112,333
-1-31-41-389-607-1,271-12,059-15,949-18,817-24,887-236,123-494,419-771,497-7,319,813-9,681,043-300,112,333

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 300,112,333:


Ask a Question