Q: What are the factor combinations of the number 324,411,145?

 A:
Positive:   1 x 3244111455 x 6488222953 x 6120965265 x 1224193
Negative: -1 x -324411145-5 x -64882229-53 x -6120965-265 x -1224193


How do I find the factor combinations of the number 324,411,145?

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 324,411,145, 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.

1 324,411,145
-1 -324,411,145

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 324,411,145.

Example:
1 x 324,411,145 = 324,411,145
and
-1 x -324,411,145 = 324,411,145
Notice both answers equal 324,411,145

With that explanation out of the way, let's continue. Next, we take the number 324,411,145 and divide it by 2:

324,411,145 ÷ 2 = 162,205,572.5

If the quotient is a whole number, then 2 and 162,205,572.5 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:

1 324,411,145
-1 -324,411,145

Now, we try dividing 324,411,145 by 3:

324,411,145 ÷ 3 = 108,137,048.3333

If the quotient is a whole number, then 3 and 108,137,048.3333 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:

1 324,411,145
-1 -324,411,145

Let's try dividing by 4:

324,411,145 ÷ 4 = 81,102,786.25

If the quotient is a whole number, then 4 and 81,102,786.25 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:

1 324,411,145
-1 324,411,145
Keep dividing by the next highest number until you cannot divide anymore.

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

15532651,224,1936,120,96564,882,229324,411,145
-1-5-53-265-1,224,193-6,120,965-64,882,229-324,411,145

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 324,411,145:


Ask a Question