Q: What are the factor combinations of the number 304,001,225?

 A:
Positive:   1 x 3040012255 x 6080024511 x 2763647517 x 1788242525 x 1216004955 x 552729585 x 3576485187 x 1625675275 x 1105459425 x 715297935 x 3251354675 x 65027
Negative: -1 x -304001225-5 x -60800245-11 x -27636475-17 x -17882425-25 x -12160049-55 x -5527295-85 x -3576485-187 x -1625675-275 x -1105459-425 x -715297-935 x -325135-4675 x -65027


How do I find the factor combinations of the number 304,001,225?

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 304,001,225, 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.

1 304,001,225
-1 -304,001,225

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 304,001,225.

Example:
1 x 304,001,225 = 304,001,225
and
-1 x -304,001,225 = 304,001,225
Notice both answers equal 304,001,225

With that explanation out of the way, let's continue. Next, we take the number 304,001,225 and divide it by 2:

304,001,225 ÷ 2 = 152,000,612.5

If the quotient is a whole number, then 2 and 152,000,612.5 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:

1 304,001,225
-1 -304,001,225

Now, we try dividing 304,001,225 by 3:

304,001,225 ÷ 3 = 101,333,741.6667

If the quotient is a whole number, then 3 and 101,333,741.6667 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:

1 304,001,225
-1 -304,001,225

Let's try dividing by 4:

304,001,225 ÷ 4 = 76,000,306.25

If the quotient is a whole number, then 4 and 76,000,306.25 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:

1 304,001,225
-1 304,001,225
Keep dividing by the next highest number until you cannot divide anymore.

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

1511172555851872754259354,67565,027325,135715,2971,105,4591,625,6753,576,4855,527,29512,160,04917,882,42527,636,47560,800,245304,001,225
-1-5-11-17-25-55-85-187-275-425-935-4,675-65,027-325,135-715,297-1,105,459-1,625,675-3,576,485-5,527,295-12,160,049-17,882,425-27,636,475-60,800,245-304,001,225

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 304,001,225:


Ask a Question