Q: What are the factor combinations of the number 4,482,725?

 A:
Positive:   1 x 44827255 x 89654513 x 34482525 x 17930965 x 68965169 x 26525325 x 13793845 x 53051061 x 4225
Negative: -1 x -4482725-5 x -896545-13 x -344825-25 x -179309-65 x -68965-169 x -26525-325 x -13793-845 x -5305-1061 x -4225


How do I find the factor combinations of the number 4,482,725?

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 4,482,725, 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 4,482,725
-1 -4,482,725

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 4,482,725.

Example:
1 x 4,482,725 = 4,482,725
and
-1 x -4,482,725 = 4,482,725
Notice both answers equal 4,482,725

With that explanation out of the way, let's continue. Next, we take the number 4,482,725 and divide it by 2:

4,482,725 ÷ 2 = 2,241,362.5

If the quotient is a whole number, then 2 and 2,241,362.5 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 4,482,725
-1 -4,482,725

Now, we try dividing 4,482,725 by 3:

4,482,725 ÷ 3 = 1,494,241.6667

If the quotient is a whole number, then 3 and 1,494,241.6667 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 4,482,725
-1 -4,482,725

Let's try dividing by 4:

4,482,725 ÷ 4 = 1,120,681.25

If the quotient is a whole number, then 4 and 1,120,681.25 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 4,482,725
-1 4,482,725
Keep dividing by the next highest number until you cannot divide anymore.

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

151325651693258451,0614,2255,30513,79326,52568,965179,309344,825896,5454,482,725
-1-5-13-25-65-169-325-845-1,061-4,225-5,305-13,793-26,525-68,965-179,309-344,825-896,545-4,482,725

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