Q: What are the factor combinations of the number 5,502,925?

 A:
Positive:   1 x 55029255 x 110058525 x 22011743 x 127975215 x 255951075 x 5119
Negative: -1 x -5502925-5 x -1100585-25 x -220117-43 x -127975-215 x -25595-1075 x -5119


How do I find the factor combinations of the number 5,502,925?

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 5,502,925, 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 5,502,925
-1 -5,502,925

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 5,502,925.

Example:
1 x 5,502,925 = 5,502,925
and
-1 x -5,502,925 = 5,502,925
Notice both answers equal 5,502,925

With that explanation out of the way, let's continue. Next, we take the number 5,502,925 and divide it by 2:

5,502,925 ÷ 2 = 2,751,462.5

If the quotient is a whole number, then 2 and 2,751,462.5 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 5,502,925
-1 -5,502,925

Now, we try dividing 5,502,925 by 3:

5,502,925 ÷ 3 = 1,834,308.3333

If the quotient is a whole number, then 3 and 1,834,308.3333 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 5,502,925
-1 -5,502,925

Let's try dividing by 4:

5,502,925 ÷ 4 = 1,375,731.25

If the quotient is a whole number, then 4 and 1,375,731.25 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 5,502,925
-1 5,502,925
Keep dividing by the next highest number until you cannot divide anymore.

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

1525432151,0755,11925,595127,975220,1171,100,5855,502,925
-1-5-25-43-215-1,075-5,119-25,595-127,975-220,117-1,100,585-5,502,925

More Examples

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