Q: What are the factor combinations of the number 324,411,035?

 A:
Positive:   1 x 3244110355 x 6488220713 x 2495469519 x 1707426565 x 499093995 x 3414853247 x 13134051235 x 262681
Negative: -1 x -324411035-5 x -64882207-13 x -24954695-19 x -17074265-65 x -4990939-95 x -3414853-247 x -1313405-1235 x -262681


How do I find the factor combinations of the number 324,411,035?

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 324,411,035, 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.

1 324,411,035
-1 -324,411,035

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 324,411,035.

Example:
1 x 324,411,035 = 324,411,035
and
-1 x -324,411,035 = 324,411,035
Notice both answers equal 324,411,035

With that explanation out of the way, let's continue. Next, we take the number 324,411,035 and divide it by 2:

324,411,035 ÷ 2 = 162,205,517.5

If the quotient is a whole number, then 2 and 162,205,517.5 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:

1 324,411,035
-1 -324,411,035

Now, we try dividing 324,411,035 by 3:

324,411,035 ÷ 3 = 108,137,011.6667

If the quotient is a whole number, then 3 and 108,137,011.6667 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:

1 324,411,035
-1 -324,411,035

Let's try dividing by 4:

324,411,035 ÷ 4 = 81,102,758.75

If the quotient is a whole number, then 4 and 81,102,758.75 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:

1 324,411,035
-1 324,411,035
Keep dividing by the next highest number until you cannot divide anymore.

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

15131965952471,235262,6811,313,4053,414,8534,990,93917,074,26524,954,69564,882,207324,411,035
-1-5-13-19-65-95-247-1,235-262,681-1,313,405-3,414,853-4,990,939-17,074,265-24,954,695-64,882,207-324,411,035

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 324,411,035:


Ask a Question