Q: What are the factor combinations of the number 5,507,825?

 A:
Positive:   1 x 55078255 x 110156525 x 22031329 x 18992571 x 77575107 x 51475145 x 37985355 x 15515535 x 10295725 x 75971775 x 31032059 x 2675
Negative: -1 x -5507825-5 x -1101565-25 x -220313-29 x -189925-71 x -77575-107 x -51475-145 x -37985-355 x -15515-535 x -10295-725 x -7597-1775 x -3103-2059 x -2675


How do I find the factor combinations of the number 5,507,825?

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 5,507,825, 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 5,507,825
-1 -5,507,825

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 5,507,825.

Example:
1 x 5,507,825 = 5,507,825
and
-1 x -5,507,825 = 5,507,825
Notice both answers equal 5,507,825

With that explanation out of the way, let's continue. Next, we take the number 5,507,825 and divide it by 2:

5,507,825 ÷ 2 = 2,753,912.5

If the quotient is a whole number, then 2 and 2,753,912.5 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 5,507,825
-1 -5,507,825

Now, we try dividing 5,507,825 by 3:

5,507,825 ÷ 3 = 1,835,941.6667

If the quotient is a whole number, then 3 and 1,835,941.6667 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 5,507,825
-1 -5,507,825

Let's try dividing by 4:

5,507,825 ÷ 4 = 1,376,956.25

If the quotient is a whole number, then 4 and 1,376,956.25 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 5,507,825
-1 5,507,825
Keep dividing by the next highest number until you cannot divide anymore.

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

152529711071453555357251,7752,0592,6753,1037,59710,29515,51537,98551,47577,575189,925220,3131,101,5655,507,825
-1-5-25-29-71-107-145-355-535-725-1,775-2,059-2,675-3,103-7,597-10,295-15,515-37,985-51,475-77,575-189,925-220,313-1,101,565-5,507,825

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