Q: What are the factor combinations of the number 324,300,505?

 A:
Positive:   1 x 3243005055 x 6486010183 x 3907235415 x 781447881 x 368105887 x 3656154405 x 736214435 x 73123
Negative: -1 x -324300505-5 x -64860101-83 x -3907235-415 x -781447-881 x -368105-887 x -365615-4405 x -73621-4435 x -73123


How do I find the factor combinations of the number 324,300,505?

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 324,300,505, 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.

1 324,300,505
-1 -324,300,505

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 324,300,505.

Example:
1 x 324,300,505 = 324,300,505
and
-1 x -324,300,505 = 324,300,505
Notice both answers equal 324,300,505

With that explanation out of the way, let's continue. Next, we take the number 324,300,505 and divide it by 2:

324,300,505 ÷ 2 = 162,150,252.5

If the quotient is a whole number, then 2 and 162,150,252.5 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:

1 324,300,505
-1 -324,300,505

Now, we try dividing 324,300,505 by 3:

324,300,505 ÷ 3 = 108,100,168.3333

If the quotient is a whole number, then 3 and 108,100,168.3333 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:

1 324,300,505
-1 -324,300,505

Let's try dividing by 4:

324,300,505 ÷ 4 = 81,075,126.25

If the quotient is a whole number, then 4 and 81,075,126.25 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:

1 324,300,505
-1 324,300,505
Keep dividing by the next highest number until you cannot divide anymore.

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

15834158818874,4054,43573,12373,621365,615368,105781,4473,907,23564,860,101324,300,505
-1-5-83-415-881-887-4,405-4,435-73,123-73,621-365,615-368,105-781,447-3,907,235-64,860,101-324,300,505

More Examples

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