Q: What are the factor combinations of the number 5,060,999?

 A:
Positive:   1 x 506099941 x 123439
Negative: -1 x -5060999-41 x -123439


How do I find the factor combinations of the number 5,060,999?

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 5,060,999, 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 5,060,999
-1 -5,060,999

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 5,060,999.

Example:
1 x 5,060,999 = 5,060,999
and
-1 x -5,060,999 = 5,060,999
Notice both answers equal 5,060,999

With that explanation out of the way, let's continue. Next, we take the number 5,060,999 and divide it by 2:

5,060,999 ÷ 2 = 2,530,499.5

If the quotient is a whole number, then 2 and 2,530,499.5 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 5,060,999
-1 -5,060,999

Now, we try dividing 5,060,999 by 3:

5,060,999 ÷ 3 = 1,686,999.6667

If the quotient is a whole number, then 3 and 1,686,999.6667 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 5,060,999
-1 -5,060,999

Let's try dividing by 4:

5,060,999 ÷ 4 = 1,265,249.75

If the quotient is a whole number, then 4 and 1,265,249.75 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 5,060,999
-1 5,060,999
Keep dividing by the next highest number until you cannot divide anymore.

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

141123,4395,060,999
-1-41-123,439-5,060,999

More Examples

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