Q: What are the factor combinations of the number 60,056,507?

 A:
Positive:   1 x 600565077 x 857950149 x 1225643
Negative: -1 x -60056507-7 x -8579501-49 x -1225643


How do I find the factor combinations of the number 60,056,507?

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 60,056,507, 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 60,056,507
-1 -60,056,507

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 60,056,507.

Example:
1 x 60,056,507 = 60,056,507
and
-1 x -60,056,507 = 60,056,507
Notice both answers equal 60,056,507

With that explanation out of the way, let's continue. Next, we take the number 60,056,507 and divide it by 2:

60,056,507 ÷ 2 = 30,028,253.5

If the quotient is a whole number, then 2 and 30,028,253.5 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 60,056,507
-1 -60,056,507

Now, we try dividing 60,056,507 by 3:

60,056,507 ÷ 3 = 20,018,835.6667

If the quotient is a whole number, then 3 and 20,018,835.6667 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 60,056,507
-1 -60,056,507

Let's try dividing by 4:

60,056,507 ÷ 4 = 15,014,126.75

If the quotient is a whole number, then 4 and 15,014,126.75 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 60,056,507
-1 60,056,507
Keep dividing by the next highest number until you cannot divide anymore.

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

17491,225,6438,579,50160,056,507
-1-7-49-1,225,643-8,579,501-60,056,507

More Examples

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