Q: What are the factor combinations of the number 31,227,025?

 A:
Positive:   1 x 312270255 x 624540525 x 124908167 x 466075103 x 303175181 x 172525335 x 93215515 x 60635905 x 345051675 x 186432575 x 121274525 x 6901
Negative: -1 x -31227025-5 x -6245405-25 x -1249081-67 x -466075-103 x -303175-181 x -172525-335 x -93215-515 x -60635-905 x -34505-1675 x -18643-2575 x -12127-4525 x -6901


How do I find the factor combinations of the number 31,227,025?

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 31,227,025, 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 31,227,025
-1 -31,227,025

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 31,227,025.

Example:
1 x 31,227,025 = 31,227,025
and
-1 x -31,227,025 = 31,227,025
Notice both answers equal 31,227,025

With that explanation out of the way, let's continue. Next, we take the number 31,227,025 and divide it by 2:

31,227,025 ÷ 2 = 15,613,512.5

If the quotient is a whole number, then 2 and 15,613,512.5 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 31,227,025
-1 -31,227,025

Now, we try dividing 31,227,025 by 3:

31,227,025 ÷ 3 = 10,409,008.3333

If the quotient is a whole number, then 3 and 10,409,008.3333 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 31,227,025
-1 -31,227,025

Let's try dividing by 4:

31,227,025 ÷ 4 = 7,806,756.25

If the quotient is a whole number, then 4 and 7,806,756.25 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 31,227,025
-1 31,227,025
Keep dividing by the next highest number until you cannot divide anymore.

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

1525671031813355159051,6752,5754,5256,90112,12718,64334,50560,63593,215172,525303,175466,0751,249,0816,245,40531,227,025
-1-5-25-67-103-181-335-515-905-1,675-2,575-4,525-6,901-12,127-18,643-34,505-60,635-93,215-172,525-303,175-466,075-1,249,081-6,245,405-31,227,025

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