Q: What are the factor combinations of the number 60,515,999?

 A:
Positive:   1 x 6051599931 x 1952129
Negative: -1 x -60515999-31 x -1952129


How do I find the factor combinations of the number 60,515,999?

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 60,515,999, 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 60,515,999
-1 -60,515,999

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 60,515,999.

Example:
1 x 60,515,999 = 60,515,999
and
-1 x -60,515,999 = 60,515,999
Notice both answers equal 60,515,999

With that explanation out of the way, let's continue. Next, we take the number 60,515,999 and divide it by 2:

60,515,999 ÷ 2 = 30,257,999.5

If the quotient is a whole number, then 2 and 30,257,999.5 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 60,515,999
-1 -60,515,999

Now, we try dividing 60,515,999 by 3:

60,515,999 ÷ 3 = 20,171,999.6667

If the quotient is a whole number, then 3 and 20,171,999.6667 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 60,515,999
-1 -60,515,999

Let's try dividing by 4:

60,515,999 ÷ 4 = 15,128,999.75

If the quotient is a whole number, then 4 and 15,128,999.75 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 60,515,999
-1 60,515,999
Keep dividing by the next highest number until you cannot divide anymore.

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

1311,952,12960,515,999
-1-31-1,952,129-60,515,999

More Examples

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