Q: What are the factor combinations of the number 2,542,225?

 A:
Positive:   1 x 25422255 x 5084457 x 36317525 x 10168935 x 7263573 x 34825175 x 14527199 x 12775365 x 6965511 x 4975995 x 25551393 x 1825
Negative: -1 x -2542225-5 x -508445-7 x -363175-25 x -101689-35 x -72635-73 x -34825-175 x -14527-199 x -12775-365 x -6965-511 x -4975-995 x -2555-1393 x -1825


How do I find the factor combinations of the number 2,542,225?

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 2,542,225, 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 2,542,225
-1 -2,542,225

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 2,542,225.

Example:
1 x 2,542,225 = 2,542,225
and
-1 x -2,542,225 = 2,542,225
Notice both answers equal 2,542,225

With that explanation out of the way, let's continue. Next, we take the number 2,542,225 and divide it by 2:

2,542,225 ÷ 2 = 1,271,112.5

If the quotient is a whole number, then 2 and 1,271,112.5 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 2,542,225
-1 -2,542,225

Now, we try dividing 2,542,225 by 3:

2,542,225 ÷ 3 = 847,408.3333

If the quotient is a whole number, then 3 and 847,408.3333 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 2,542,225
-1 -2,542,225

Let's try dividing by 4:

2,542,225 ÷ 4 = 635,556.25

If the quotient is a whole number, then 4 and 635,556.25 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 2,542,225
-1 2,542,225
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535731751993655119951,3931,8252,5554,9756,96512,77514,52734,82572,635101,689363,175508,4452,542,225
-1-5-7-25-35-73-175-199-365-511-995-1,393-1,825-2,555-4,975-6,965-12,775-14,527-34,825-72,635-101,689-363,175-508,445-2,542,225

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