Q: What are the factor combinations of the number 302,311,109?

 A:
Positive:   1 x 30231110919 x 1591111129 x 10424521227 x 1331767551 x 5486592417 x 1250774313 x 700936583 x 45923
Negative: -1 x -302311109-19 x -15911111-29 x -10424521-227 x -1331767-551 x -548659-2417 x -125077-4313 x -70093-6583 x -45923


How do I find the factor combinations of the number 302,311,109?

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 302,311,109, 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.

1 302,311,109
-1 -302,311,109

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 302,311,109.

Example:
1 x 302,311,109 = 302,311,109
and
-1 x -302,311,109 = 302,311,109
Notice both answers equal 302,311,109

With that explanation out of the way, let's continue. Next, we take the number 302,311,109 and divide it by 2:

302,311,109 ÷ 2 = 151,155,554.5

If the quotient is a whole number, then 2 and 151,155,554.5 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:

1 302,311,109
-1 -302,311,109

Now, we try dividing 302,311,109 by 3:

302,311,109 ÷ 3 = 100,770,369.6667

If the quotient is a whole number, then 3 and 100,770,369.6667 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:

1 302,311,109
-1 -302,311,109

Let's try dividing by 4:

302,311,109 ÷ 4 = 75,577,777.25

If the quotient is a whole number, then 4 and 75,577,777.25 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:

1 302,311,109
-1 302,311,109
Keep dividing by the next highest number until you cannot divide anymore.

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

119292275512,4174,3136,58345,92370,093125,077548,6591,331,76710,424,52115,911,111302,311,109
-1-19-29-227-551-2,417-4,313-6,583-45,923-70,093-125,077-548,659-1,331,767-10,424,521-15,911,111-302,311,109

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 302,311,109:


Ask a Question