Q: What are the factor combinations of the number 25,222,225?

 A:
Positive:   1 x 252222255 x 50444457 x 360317525 x 100888935 x 720635101 x 249725175 x 144127505 x 49945707 x 356751427 x 176752525 x 99893535 x 7135
Negative: -1 x -25222225-5 x -5044445-7 x -3603175-25 x -1008889-35 x -720635-101 x -249725-175 x -144127-505 x -49945-707 x -35675-1427 x -17675-2525 x -9989-3535 x -7135


How do I find the factor combinations of the number 25,222,225?

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 25,222,225, 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 25,222,225
-1 -25,222,225

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 25,222,225.

Example:
1 x 25,222,225 = 25,222,225
and
-1 x -25,222,225 = 25,222,225
Notice both answers equal 25,222,225

With that explanation out of the way, let's continue. Next, we take the number 25,222,225 and divide it by 2:

25,222,225 ÷ 2 = 12,611,112.5

If the quotient is a whole number, then 2 and 12,611,112.5 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 25,222,225
-1 -25,222,225

Now, we try dividing 25,222,225 by 3:

25,222,225 ÷ 3 = 8,407,408.3333

If the quotient is a whole number, then 3 and 8,407,408.3333 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 25,222,225
-1 -25,222,225

Let's try dividing by 4:

25,222,225 ÷ 4 = 6,305,556.25

If the quotient is a whole number, then 4 and 6,305,556.25 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 25,222,225
-1 25,222,225
Keep dividing by the next highest number until you cannot divide anymore.

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

15725351011755057071,4272,5253,5357,1359,98917,67535,67549,945144,127249,725720,6351,008,8893,603,1755,044,44525,222,225
-1-5-7-25-35-101-175-505-707-1,427-2,525-3,535-7,135-9,989-17,675-35,675-49,945-144,127-249,725-720,635-1,008,889-3,603,175-5,044,445-25,222,225

More Examples

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