Q: What are the factor combinations of the number 3,242,225?

 A:
Positive:   1 x 32422255 x 6484457 x 46317525 x 12968935 x 9263597 x 33425175 x 18527191 x 16975485 x 6685679 x 4775955 x 33951337 x 2425
Negative: -1 x -3242225-5 x -648445-7 x -463175-25 x -129689-35 x -92635-97 x -33425-175 x -18527-191 x -16975-485 x -6685-679 x -4775-955 x -3395-1337 x -2425


How do I find the factor combinations of the number 3,242,225?

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 3,242,225, 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 3,242,225
-1 -3,242,225

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 3,242,225.

Example:
1 x 3,242,225 = 3,242,225
and
-1 x -3,242,225 = 3,242,225
Notice both answers equal 3,242,225

With that explanation out of the way, let's continue. Next, we take the number 3,242,225 and divide it by 2:

3,242,225 ÷ 2 = 1,621,112.5

If the quotient is a whole number, then 2 and 1,621,112.5 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 3,242,225
-1 -3,242,225

Now, we try dividing 3,242,225 by 3:

3,242,225 ÷ 3 = 1,080,741.6667

If the quotient is a whole number, then 3 and 1,080,741.6667 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 3,242,225
-1 -3,242,225

Let's try dividing by 4:

3,242,225 ÷ 4 = 810,556.25

If the quotient is a whole number, then 4 and 810,556.25 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 3,242,225
-1 3,242,225
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535971751914856799551,3372,4253,3954,7756,68516,97518,52733,42592,635129,689463,175648,4453,242,225
-1-5-7-25-35-97-175-191-485-679-955-1,337-2,425-3,395-4,775-6,685-16,975-18,527-33,425-92,635-129,689-463,175-648,445-3,242,225

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