Q: What are the factor combinations of the number 60,506,165?

 A:
Positive:   1 x 605061655 x 1210123319 x 318453595 x 636907613 x 987051039 x 582353065 x 197415195 x 11647
Negative: -1 x -60506165-5 x -12101233-19 x -3184535-95 x -636907-613 x -98705-1039 x -58235-3065 x -19741-5195 x -11647


How do I find the factor combinations of the number 60,506,165?

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 60,506,165, 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 60,506,165
-1 -60,506,165

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 60,506,165.

Example:
1 x 60,506,165 = 60,506,165
and
-1 x -60,506,165 = 60,506,165
Notice both answers equal 60,506,165

With that explanation out of the way, let's continue. Next, we take the number 60,506,165 and divide it by 2:

60,506,165 ÷ 2 = 30,253,082.5

If the quotient is a whole number, then 2 and 30,253,082.5 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 60,506,165
-1 -60,506,165

Now, we try dividing 60,506,165 by 3:

60,506,165 ÷ 3 = 20,168,721.6667

If the quotient is a whole number, then 3 and 20,168,721.6667 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 60,506,165
-1 -60,506,165

Let's try dividing by 4:

60,506,165 ÷ 4 = 15,126,541.25

If the quotient is a whole number, then 4 and 15,126,541.25 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 60,506,165
-1 60,506,165
Keep dividing by the next highest number until you cannot divide anymore.

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

1519956131,0393,0655,19511,64719,74158,23598,705636,9073,184,53512,101,23360,506,165
-1-5-19-95-613-1,039-3,065-5,195-11,647-19,741-58,235-98,705-636,907-3,184,535-12,101,233-60,506,165

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