Q: What are the factor combinations of the number 306,352,045?

 A:
Positive:   1 x 3063520455 x 6127040937 x 8279785185 x 1655957821 x 3731452017 x 1518854105 x 7462910085 x 30377
Negative: -1 x -306352045-5 x -61270409-37 x -8279785-185 x -1655957-821 x -373145-2017 x -151885-4105 x -74629-10085 x -30377


How do I find the factor combinations of the number 306,352,045?

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 306,352,045, 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.

1 306,352,045
-1 -306,352,045

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 306,352,045.

Example:
1 x 306,352,045 = 306,352,045
and
-1 x -306,352,045 = 306,352,045
Notice both answers equal 306,352,045

With that explanation out of the way, let's continue. Next, we take the number 306,352,045 and divide it by 2:

306,352,045 ÷ 2 = 153,176,022.5

If the quotient is a whole number, then 2 and 153,176,022.5 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:

1 306,352,045
-1 -306,352,045

Now, we try dividing 306,352,045 by 3:

306,352,045 ÷ 3 = 102,117,348.3333

If the quotient is a whole number, then 3 and 102,117,348.3333 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:

1 306,352,045
-1 -306,352,045

Let's try dividing by 4:

306,352,045 ÷ 4 = 76,588,011.25

If the quotient is a whole number, then 4 and 76,588,011.25 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:

1 306,352,045
-1 306,352,045
Keep dividing by the next highest number until you cannot divide anymore.

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

15371858212,0174,10510,08530,37774,629151,885373,1451,655,9578,279,78561,270,409306,352,045
-1-5-37-185-821-2,017-4,105-10,085-30,377-74,629-151,885-373,145-1,655,957-8,279,785-61,270,409-306,352,045

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 306,352,045:


Ask a Question