Q: What are the factor combinations of the number 25,040,225?

 A:
Positive:   1 x 250402255 x 50080457 x 357717525 x 100160935 x 71543549 x 511025175 x 143087245 x 1022051225 x 20441
Negative: -1 x -25040225-5 x -5008045-7 x -3577175-25 x -1001609-35 x -715435-49 x -511025-175 x -143087-245 x -102205-1225 x -20441


How do I find the factor combinations of the number 25,040,225?

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 25,040,225, 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 25,040,225
-1 -25,040,225

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 25,040,225.

Example:
1 x 25,040,225 = 25,040,225
and
-1 x -25,040,225 = 25,040,225
Notice both answers equal 25,040,225

With that explanation out of the way, let's continue. Next, we take the number 25,040,225 and divide it by 2:

25,040,225 ÷ 2 = 12,520,112.5

If the quotient is a whole number, then 2 and 12,520,112.5 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 25,040,225
-1 -25,040,225

Now, we try dividing 25,040,225 by 3:

25,040,225 ÷ 3 = 8,346,741.6667

If the quotient is a whole number, then 3 and 8,346,741.6667 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 25,040,225
-1 -25,040,225

Let's try dividing by 4:

25,040,225 ÷ 4 = 6,260,056.25

If the quotient is a whole number, then 4 and 6,260,056.25 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 25,040,225
-1 25,040,225
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535491752451,22520,441102,205143,087511,025715,4351,001,6093,577,1755,008,04525,040,225
-1-5-7-25-35-49-175-245-1,225-20,441-102,205-143,087-511,025-715,435-1,001,609-3,577,175-5,008,045-25,040,225

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