Q: What are the factor combinations of the number 5,595,995?

 A:
Positive:   1 x 55959955 x 1119199673 x 83151663 x 3365
Negative: -1 x -5595995-5 x -1119199-673 x -8315-1663 x -3365


How do I find the factor combinations of the number 5,595,995?

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 5,595,995, 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 5,595,995
-1 -5,595,995

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 5,595,995.

Example:
1 x 5,595,995 = 5,595,995
and
-1 x -5,595,995 = 5,595,995
Notice both answers equal 5,595,995

With that explanation out of the way, let's continue. Next, we take the number 5,595,995 and divide it by 2:

5,595,995 ÷ 2 = 2,797,997.5

If the quotient is a whole number, then 2 and 2,797,997.5 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 5,595,995
-1 -5,595,995

Now, we try dividing 5,595,995 by 3:

5,595,995 ÷ 3 = 1,865,331.6667

If the quotient is a whole number, then 3 and 1,865,331.6667 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 5,595,995
-1 -5,595,995

Let's try dividing by 4:

5,595,995 ÷ 4 = 1,398,998.75

If the quotient is a whole number, then 4 and 1,398,998.75 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 5,595,995
-1 5,595,995
Keep dividing by the next highest number until you cannot divide anymore.

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

156731,6633,3658,3151,119,1995,595,995
-1-5-673-1,663-3,365-8,315-1,119,199-5,595,995

More Examples

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