Q: What are the factor combinations of the number 30,242,267?

 A:
Positive:   1 x 3024226711 x 274929731 x 975557131 x 230857341 x 88687677 x 446711441 x 209874061 x 7447
Negative: -1 x -30242267-11 x -2749297-31 x -975557-131 x -230857-341 x -88687-677 x -44671-1441 x -20987-4061 x -7447


How do I find the factor combinations of the number 30,242,267?

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 30,242,267, 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 30,242,267
-1 -30,242,267

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 30,242,267.

Example:
1 x 30,242,267 = 30,242,267
and
-1 x -30,242,267 = 30,242,267
Notice both answers equal 30,242,267

With that explanation out of the way, let's continue. Next, we take the number 30,242,267 and divide it by 2:

30,242,267 ÷ 2 = 15,121,133.5

If the quotient is a whole number, then 2 and 15,121,133.5 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 30,242,267
-1 -30,242,267

Now, we try dividing 30,242,267 by 3:

30,242,267 ÷ 3 = 10,080,755.6667

If the quotient is a whole number, then 3 and 10,080,755.6667 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 30,242,267
-1 -30,242,267

Let's try dividing by 4:

30,242,267 ÷ 4 = 7,560,566.75

If the quotient is a whole number, then 4 and 7,560,566.75 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 30,242,267
-1 30,242,267
Keep dividing by the next highest number until you cannot divide anymore.

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

111311313416771,4414,0617,44720,98744,67188,687230,857975,5572,749,29730,242,267
-1-11-31-131-341-677-1,441-4,061-7,447-20,987-44,671-88,687-230,857-975,557-2,749,297-30,242,267

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 30,242,267:


Ask a Question