Q: What are the factor combinations of the number 300,252,425?

 A:
Positive:   1 x 3002524255 x 6005048511 x 2729567525 x 1201009755 x 5459135121 x 2481425275 x 1091827605 x 4962853025 x 99257
Negative: -1 x -300252425-5 x -60050485-11 x -27295675-25 x -12010097-55 x -5459135-121 x -2481425-275 x -1091827-605 x -496285-3025 x -99257


How do I find the factor combinations of the number 300,252,425?

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 300,252,425, 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.

1 300,252,425
-1 -300,252,425

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 300,252,425.

Example:
1 x 300,252,425 = 300,252,425
and
-1 x -300,252,425 = 300,252,425
Notice both answers equal 300,252,425

With that explanation out of the way, let's continue. Next, we take the number 300,252,425 and divide it by 2:

300,252,425 ÷ 2 = 150,126,212.5

If the quotient is a whole number, then 2 and 150,126,212.5 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:

1 300,252,425
-1 -300,252,425

Now, we try dividing 300,252,425 by 3:

300,252,425 ÷ 3 = 100,084,141.6667

If the quotient is a whole number, then 3 and 100,084,141.6667 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:

1 300,252,425
-1 -300,252,425

Let's try dividing by 4:

300,252,425 ÷ 4 = 75,063,106.25

If the quotient is a whole number, then 4 and 75,063,106.25 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:

1 300,252,425
-1 300,252,425
Keep dividing by the next highest number until you cannot divide anymore.

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

151125551212756053,02599,257496,2851,091,8272,481,4255,459,13512,010,09727,295,67560,050,485300,252,425
-1-5-11-25-55-121-275-605-3,025-99,257-496,285-1,091,827-2,481,425-5,459,135-12,010,097-27,295,675-60,050,485-300,252,425

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 300,252,425:


Ask a Question