Q: What are the factor combinations of the number 324,474,305?

 A:
Positive:   1 x 3244743055 x 6489486119 x 1707759595 x 34155191459 x 2223952341 x 1386057295 x 4447911705 x 27721
Negative: -1 x -324474305-5 x -64894861-19 x -17077595-95 x -3415519-1459 x -222395-2341 x -138605-7295 x -44479-11705 x -27721


How do I find the factor combinations of the number 324,474,305?

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 324,474,305, 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.

1 324,474,305
-1 -324,474,305

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 324,474,305.

Example:
1 x 324,474,305 = 324,474,305
and
-1 x -324,474,305 = 324,474,305
Notice both answers equal 324,474,305

With that explanation out of the way, let's continue. Next, we take the number 324,474,305 and divide it by 2:

324,474,305 ÷ 2 = 162,237,152.5

If the quotient is a whole number, then 2 and 162,237,152.5 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:

1 324,474,305
-1 -324,474,305

Now, we try dividing 324,474,305 by 3:

324,474,305 ÷ 3 = 108,158,101.6667

If the quotient is a whole number, then 3 and 108,158,101.6667 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:

1 324,474,305
-1 -324,474,305

Let's try dividing by 4:

324,474,305 ÷ 4 = 81,118,576.25

If the quotient is a whole number, then 4 and 81,118,576.25 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:

1 324,474,305
-1 324,474,305
Keep dividing by the next highest number until you cannot divide anymore.

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

1519951,4592,3417,29511,70527,72144,479138,605222,3953,415,51917,077,59564,894,861324,474,305
-1-5-19-95-1,459-2,341-7,295-11,705-27,721-44,479-138,605-222,395-3,415,519-17,077,595-64,894,861-324,474,305

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