Q: What are the factor combinations of the number 5,507,485?

 A:
Positive:   1 x 55074855 x 110149773 x 7544579 x 69715191 x 28835365 x 15089395 x 13943955 x 5767
Negative: -1 x -5507485-5 x -1101497-73 x -75445-79 x -69715-191 x -28835-365 x -15089-395 x -13943-955 x -5767


How do I find the factor combinations of the number 5,507,485?

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 5,507,485, 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 5,507,485
-1 -5,507,485

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 5,507,485.

Example:
1 x 5,507,485 = 5,507,485
and
-1 x -5,507,485 = 5,507,485
Notice both answers equal 5,507,485

With that explanation out of the way, let's continue. Next, we take the number 5,507,485 and divide it by 2:

5,507,485 ÷ 2 = 2,753,742.5

If the quotient is a whole number, then 2 and 2,753,742.5 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 5,507,485
-1 -5,507,485

Now, we try dividing 5,507,485 by 3:

5,507,485 ÷ 3 = 1,835,828.3333

If the quotient is a whole number, then 3 and 1,835,828.3333 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 5,507,485
-1 -5,507,485

Let's try dividing by 4:

5,507,485 ÷ 4 = 1,376,871.25

If the quotient is a whole number, then 4 and 1,376,871.25 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 5,507,485
-1 5,507,485
Keep dividing by the next highest number until you cannot divide anymore.

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

1573791913653959555,76713,94315,08928,83569,71575,4451,101,4975,507,485
-1-5-73-79-191-365-395-955-5,767-13,943-15,089-28,835-69,715-75,445-1,101,497-5,507,485

More Examples

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