Q: What are the factor combinations of the number 602,501,245?

 A:
Positive:   1 x 6025012455 x 12050024929 x 20775905145 x 4155181977 x 6166854253 x 1416654885 x 12333721265 x 28333
Negative: -1 x -602501245-5 x -120500249-29 x -20775905-145 x -4155181-977 x -616685-4253 x -141665-4885 x -123337-21265 x -28333


How do I find the factor combinations of the number 602,501,245?

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 602,501,245, 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.

1 602,501,245
-1 -602,501,245

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 602,501,245.

Example:
1 x 602,501,245 = 602,501,245
and
-1 x -602,501,245 = 602,501,245
Notice both answers equal 602,501,245

With that explanation out of the way, let's continue. Next, we take the number 602,501,245 and divide it by 2:

602,501,245 ÷ 2 = 301,250,622.5

If the quotient is a whole number, then 2 and 301,250,622.5 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:

1 602,501,245
-1 -602,501,245

Now, we try dividing 602,501,245 by 3:

602,501,245 ÷ 3 = 200,833,748.3333

If the quotient is a whole number, then 3 and 200,833,748.3333 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:

1 602,501,245
-1 -602,501,245

Let's try dividing by 4:

602,501,245 ÷ 4 = 150,625,311.25

If the quotient is a whole number, then 4 and 150,625,311.25 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:

1 602,501,245
-1 602,501,245
Keep dividing by the next highest number until you cannot divide anymore.

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

15291459774,2534,88521,26528,333123,337141,665616,6854,155,18120,775,905120,500,249602,501,245
-1-5-29-145-977-4,253-4,885-21,265-28,333-123,337-141,665-616,685-4,155,181-20,775,905-120,500,249-602,501,245

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