Q: What are the factor combinations of the number 3,722,225?

 A:
Positive:   1 x 37222255 x 74444513 x 28632525 x 14888965 x 57265169 x 22025325 x 11453845 x 4405881 x 4225
Negative: -1 x -3722225-5 x -744445-13 x -286325-25 x -148889-65 x -57265-169 x -22025-325 x -11453-845 x -4405-881 x -4225


How do I find the factor combinations of the number 3,722,225?

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 3,722,225, 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 3,722,225
-1 -3,722,225

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 3,722,225.

Example:
1 x 3,722,225 = 3,722,225
and
-1 x -3,722,225 = 3,722,225
Notice both answers equal 3,722,225

With that explanation out of the way, let's continue. Next, we take the number 3,722,225 and divide it by 2:

3,722,225 ÷ 2 = 1,861,112.5

If the quotient is a whole number, then 2 and 1,861,112.5 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 3,722,225
-1 -3,722,225

Now, we try dividing 3,722,225 by 3:

3,722,225 ÷ 3 = 1,240,741.6667

If the quotient is a whole number, then 3 and 1,240,741.6667 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 3,722,225
-1 -3,722,225

Let's try dividing by 4:

3,722,225 ÷ 4 = 930,556.25

If the quotient is a whole number, then 4 and 930,556.25 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 3,722,225
-1 3,722,225
Keep dividing by the next highest number until you cannot divide anymore.

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

151325651693258458814,2254,40511,45322,02557,265148,889286,325744,4453,722,225
-1-5-13-25-65-169-325-845-881-4,225-4,405-11,453-22,025-57,265-148,889-286,325-744,445-3,722,225

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