Q: What are the factor combinations of the number 324,432,205?

 A:
Positive:   1 x 3244322055 x 6488644131 x 1046555543 x 7544935155 x 2093111215 x 15089871333 x 2433856665 x 48677
Negative: -1 x -324432205-5 x -64886441-31 x -10465555-43 x -7544935-155 x -2093111-215 x -1508987-1333 x -243385-6665 x -48677


How do I find the factor combinations of the number 324,432,205?

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 324,432,205, 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.

1 324,432,205
-1 -324,432,205

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 324,432,205.

Example:
1 x 324,432,205 = 324,432,205
and
-1 x -324,432,205 = 324,432,205
Notice both answers equal 324,432,205

With that explanation out of the way, let's continue. Next, we take the number 324,432,205 and divide it by 2:

324,432,205 ÷ 2 = 162,216,102.5

If the quotient is a whole number, then 2 and 162,216,102.5 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:

1 324,432,205
-1 -324,432,205

Now, we try dividing 324,432,205 by 3:

324,432,205 ÷ 3 = 108,144,068.3333

If the quotient is a whole number, then 3 and 108,144,068.3333 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:

1 324,432,205
-1 -324,432,205

Let's try dividing by 4:

324,432,205 ÷ 4 = 81,108,051.25

If the quotient is a whole number, then 4 and 81,108,051.25 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:

1 324,432,205
-1 324,432,205
Keep dividing by the next highest number until you cannot divide anymore.

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

1531431552151,3336,66548,677243,3851,508,9872,093,1117,544,93510,465,55564,886,441324,432,205
-1-5-31-43-155-215-1,333-6,665-48,677-243,385-1,508,987-2,093,111-7,544,935-10,465,555-64,886,441-324,432,205

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 324,432,205:


Ask a Question