Q: What are the factor combinations of the number 5,120,225?

 A:
Positive:   1 x 51202255 x 102404511 x 46547525 x 20480943 x 11907555 x 93095215 x 23815275 x 18619433 x 11825473 x 108251075 x 47632165 x 2365
Negative: -1 x -5120225-5 x -1024045-11 x -465475-25 x -204809-43 x -119075-55 x -93095-215 x -23815-275 x -18619-433 x -11825-473 x -10825-1075 x -4763-2165 x -2365


How do I find the factor combinations of the number 5,120,225?

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 5,120,225, 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 5,120,225
-1 -5,120,225

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 5,120,225.

Example:
1 x 5,120,225 = 5,120,225
and
-1 x -5,120,225 = 5,120,225
Notice both answers equal 5,120,225

With that explanation out of the way, let's continue. Next, we take the number 5,120,225 and divide it by 2:

5,120,225 ÷ 2 = 2,560,112.5

If the quotient is a whole number, then 2 and 2,560,112.5 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 5,120,225
-1 -5,120,225

Now, we try dividing 5,120,225 by 3:

5,120,225 ÷ 3 = 1,706,741.6667

If the quotient is a whole number, then 3 and 1,706,741.6667 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 5,120,225
-1 -5,120,225

Let's try dividing by 4:

5,120,225 ÷ 4 = 1,280,056.25

If the quotient is a whole number, then 4 and 1,280,056.25 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 5,120,225
-1 5,120,225
Keep dividing by the next highest number until you cannot divide anymore.

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

15112543552152754334731,0752,1652,3654,76310,82511,82518,61923,81593,095119,075204,809465,4751,024,0455,120,225
-1-5-11-25-43-55-215-275-433-473-1,075-2,165-2,365-4,763-10,825-11,825-18,619-23,815-93,095-119,075-204,809-465,475-1,024,045-5,120,225

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