Q: What are the factor combinations of the number 342,451,517?

 A:
Positive:   1 x 34245151729 x 1180867359 x 5804263233 x 1469749859 x 3986631711 x 2001476757 x 5068113747 x 24911
Negative: -1 x -342451517-29 x -11808673-59 x -5804263-233 x -1469749-859 x -398663-1711 x -200147-6757 x -50681-13747 x -24911


How do I find the factor combinations of the number 342,451,517?

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 342,451,517, 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.

1 342,451,517
-1 -342,451,517

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 342,451,517.

Example:
1 x 342,451,517 = 342,451,517
and
-1 x -342,451,517 = 342,451,517
Notice both answers equal 342,451,517

With that explanation out of the way, let's continue. Next, we take the number 342,451,517 and divide it by 2:

342,451,517 ÷ 2 = 171,225,758.5

If the quotient is a whole number, then 2 and 171,225,758.5 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:

1 342,451,517
-1 -342,451,517

Now, we try dividing 342,451,517 by 3:

342,451,517 ÷ 3 = 114,150,505.6667

If the quotient is a whole number, then 3 and 114,150,505.6667 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:

1 342,451,517
-1 -342,451,517

Let's try dividing by 4:

342,451,517 ÷ 4 = 85,612,879.25

If the quotient is a whole number, then 4 and 85,612,879.25 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:

1 342,451,517
-1 342,451,517
Keep dividing by the next highest number until you cannot divide anymore.

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

129592338591,7116,75713,74724,91150,681200,147398,6631,469,7495,804,26311,808,673342,451,517
-1-29-59-233-859-1,711-6,757-13,747-24,911-50,681-200,147-398,663-1,469,749-5,804,263-11,808,673-342,451,517

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