Q: What are the factor combinations of the number 324,011,051?

 A:
Positive:   1 x 3240110517 x 4628729313 x 2492392723 x 1408743791 x 3560561161 x 2012491299 x 10836492093 x 154807
Negative: -1 x -324011051-7 x -46287293-13 x -24923927-23 x -14087437-91 x -3560561-161 x -2012491-299 x -1083649-2093 x -154807


How do I find the factor combinations of the number 324,011,051?

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 324,011,051, 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.

1 324,011,051
-1 -324,011,051

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 324,011,051.

Example:
1 x 324,011,051 = 324,011,051
and
-1 x -324,011,051 = 324,011,051
Notice both answers equal 324,011,051

With that explanation out of the way, let's continue. Next, we take the number 324,011,051 and divide it by 2:

324,011,051 ÷ 2 = 162,005,525.5

If the quotient is a whole number, then 2 and 162,005,525.5 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:

1 324,011,051
-1 -324,011,051

Now, we try dividing 324,011,051 by 3:

324,011,051 ÷ 3 = 108,003,683.6667

If the quotient is a whole number, then 3 and 108,003,683.6667 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:

1 324,011,051
-1 -324,011,051

Let's try dividing by 4:

324,011,051 ÷ 4 = 81,002,762.75

If the quotient is a whole number, then 4 and 81,002,762.75 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:

1 324,011,051
-1 324,011,051
Keep dividing by the next highest number until you cannot divide anymore.

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

171323911612992,093154,8071,083,6492,012,4913,560,56114,087,43724,923,92746,287,293324,011,051
-1-7-13-23-91-161-299-2,093-154,807-1,083,649-2,012,491-3,560,561-14,087,437-24,923,927-46,287,293-324,011,051

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