Q: What are the factor combinations of the number 60,523,505?

 A:
Positive:   1 x 605235055 x 121047017 x 864621535 x 17292431019 x 593951697 x 356655095 x 118797133 x 8485
Negative: -1 x -60523505-5 x -12104701-7 x -8646215-35 x -1729243-1019 x -59395-1697 x -35665-5095 x -11879-7133 x -8485


How do I find the factor combinations of the number 60,523,505?

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 60,523,505, 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 60,523,505
-1 -60,523,505

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 60,523,505.

Example:
1 x 60,523,505 = 60,523,505
and
-1 x -60,523,505 = 60,523,505
Notice both answers equal 60,523,505

With that explanation out of the way, let's continue. Next, we take the number 60,523,505 and divide it by 2:

60,523,505 ÷ 2 = 30,261,752.5

If the quotient is a whole number, then 2 and 30,261,752.5 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 60,523,505
-1 -60,523,505

Now, we try dividing 60,523,505 by 3:

60,523,505 ÷ 3 = 20,174,501.6667

If the quotient is a whole number, then 3 and 20,174,501.6667 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 60,523,505
-1 -60,523,505

Let's try dividing by 4:

60,523,505 ÷ 4 = 15,130,876.25

If the quotient is a whole number, then 4 and 15,130,876.25 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 60,523,505
-1 60,523,505
Keep dividing by the next highest number until you cannot divide anymore.

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

157351,0191,6975,0957,1338,48511,87935,66559,3951,729,2438,646,21512,104,70160,523,505
-1-5-7-35-1,019-1,697-5,095-7,133-8,485-11,879-35,665-59,395-1,729,243-8,646,215-12,104,701-60,523,505

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