Q: What are the factor combinations of the number 324,030,155?

 A:
Positive:   1 x 3240301555 x 6480603143 x 753558571 x 4563805215 x 1507117355 x 9127613053 x 10613515265 x 21227
Negative: -1 x -324030155-5 x -64806031-43 x -7535585-71 x -4563805-215 x -1507117-355 x -912761-3053 x -106135-15265 x -21227


How do I find the factor combinations of the number 324,030,155?

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 324,030,155, 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.

1 324,030,155
-1 -324,030,155

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 324,030,155.

Example:
1 x 324,030,155 = 324,030,155
and
-1 x -324,030,155 = 324,030,155
Notice both answers equal 324,030,155

With that explanation out of the way, let's continue. Next, we take the number 324,030,155 and divide it by 2:

324,030,155 ÷ 2 = 162,015,077.5

If the quotient is a whole number, then 2 and 162,015,077.5 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:

1 324,030,155
-1 -324,030,155

Now, we try dividing 324,030,155 by 3:

324,030,155 ÷ 3 = 108,010,051.6667

If the quotient is a whole number, then 3 and 108,010,051.6667 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:

1 324,030,155
-1 -324,030,155

Let's try dividing by 4:

324,030,155 ÷ 4 = 81,007,538.75

If the quotient is a whole number, then 4 and 81,007,538.75 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:

1 324,030,155
-1 324,030,155
Keep dividing by the next highest number until you cannot divide anymore.

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

1543712153553,05315,26521,227106,135912,7611,507,1174,563,8057,535,58564,806,031324,030,155
-1-5-43-71-215-355-3,053-15,265-21,227-106,135-912,761-1,507,117-4,563,805-7,535,585-64,806,031-324,030,155

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