Q: What are the factor combinations of the number 324,444,431?

 A:
Positive:   1 x 32444443129 x 1118773947 x 69030731363 x 238037
Negative: -1 x -324444431-29 x -11187739-47 x -6903073-1363 x -238037


How do I find the factor combinations of the number 324,444,431?

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 324,444,431, 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.

1 324,444,431
-1 -324,444,431

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 324,444,431.

Example:
1 x 324,444,431 = 324,444,431
and
-1 x -324,444,431 = 324,444,431
Notice both answers equal 324,444,431

With that explanation out of the way, let's continue. Next, we take the number 324,444,431 and divide it by 2:

324,444,431 ÷ 2 = 162,222,215.5

If the quotient is a whole number, then 2 and 162,222,215.5 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:

1 324,444,431
-1 -324,444,431

Now, we try dividing 324,444,431 by 3:

324,444,431 ÷ 3 = 108,148,143.6667

If the quotient is a whole number, then 3 and 108,148,143.6667 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:

1 324,444,431
-1 -324,444,431

Let's try dividing by 4:

324,444,431 ÷ 4 = 81,111,107.75

If the quotient is a whole number, then 4 and 81,111,107.75 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:

1 324,444,431
-1 324,444,431
Keep dividing by the next highest number until you cannot divide anymore.

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

129471,363238,0376,903,07311,187,739324,444,431
-1-29-47-1,363-238,037-6,903,073-11,187,739-324,444,431

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 324,444,431:


Ask a Question