Q: What are the factor combinations of the number 5,304,425?

 A:
Positive:   1 x 53044255 x 10608857 x 75777517 x 31202525 x 21217735 x 15155585 x 62405119 x 44575175 x 30311425 x 12481595 x 89151783 x 2975
Negative: -1 x -5304425-5 x -1060885-7 x -757775-17 x -312025-25 x -212177-35 x -151555-85 x -62405-119 x -44575-175 x -30311-425 x -12481-595 x -8915-1783 x -2975


How do I find the factor combinations of the number 5,304,425?

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 5,304,425, 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 5,304,425
-1 -5,304,425

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 5,304,425.

Example:
1 x 5,304,425 = 5,304,425
and
-1 x -5,304,425 = 5,304,425
Notice both answers equal 5,304,425

With that explanation out of the way, let's continue. Next, we take the number 5,304,425 and divide it by 2:

5,304,425 ÷ 2 = 2,652,212.5

If the quotient is a whole number, then 2 and 2,652,212.5 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 5,304,425
-1 -5,304,425

Now, we try dividing 5,304,425 by 3:

5,304,425 ÷ 3 = 1,768,141.6667

If the quotient is a whole number, then 3 and 1,768,141.6667 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 5,304,425
-1 -5,304,425

Let's try dividing by 4:

5,304,425 ÷ 4 = 1,326,106.25

If the quotient is a whole number, then 4 and 1,326,106.25 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 5,304,425
-1 5,304,425
Keep dividing by the next highest number until you cannot divide anymore.

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

157172535851191754255951,7832,9758,91512,48130,31144,57562,405151,555212,177312,025757,7751,060,8855,304,425
-1-5-7-17-25-35-85-119-175-425-595-1,783-2,975-8,915-12,481-30,311-44,575-62,405-151,555-212,177-312,025-757,775-1,060,885-5,304,425

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