Q: What are the factor combinations of the number 303,241,345?

 A:
Positive:   1 x 3032413455 x 6064826911 x 2756739555 x 5513479233 x 13014651165 x 2602932563 x 11831512815 x 23663
Negative: -1 x -303241345-5 x -60648269-11 x -27567395-55 x -5513479-233 x -1301465-1165 x -260293-2563 x -118315-12815 x -23663


How do I find the factor combinations of the number 303,241,345?

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 303,241,345, 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.

1 303,241,345
-1 -303,241,345

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 303,241,345.

Example:
1 x 303,241,345 = 303,241,345
and
-1 x -303,241,345 = 303,241,345
Notice both answers equal 303,241,345

With that explanation out of the way, let's continue. Next, we take the number 303,241,345 and divide it by 2:

303,241,345 ÷ 2 = 151,620,672.5

If the quotient is a whole number, then 2 and 151,620,672.5 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:

1 303,241,345
-1 -303,241,345

Now, we try dividing 303,241,345 by 3:

303,241,345 ÷ 3 = 101,080,448.3333

If the quotient is a whole number, then 3 and 101,080,448.3333 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:

1 303,241,345
-1 -303,241,345

Let's try dividing by 4:

303,241,345 ÷ 4 = 75,810,336.25

If the quotient is a whole number, then 4 and 75,810,336.25 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:

1 303,241,345
-1 303,241,345
Keep dividing by the next highest number until you cannot divide anymore.

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

1511552331,1652,56312,81523,663118,315260,2931,301,4655,513,47927,567,39560,648,269303,241,345
-1-5-11-55-233-1,165-2,563-12,815-23,663-118,315-260,293-1,301,465-5,513,479-27,567,395-60,648,269-303,241,345

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