Q: What are the factor combinations of the number 351,516,361?

 A:
Positive:   1 x 3515163617 x 5021662317 x 20677433119 x 2953919131 x 2683331917 x 3833332227 x 15784315589 x 22549
Negative: -1 x -351516361-7 x -50216623-17 x -20677433-119 x -2953919-131 x -2683331-917 x -383333-2227 x -157843-15589 x -22549


How do I find the factor combinations of the number 351,516,361?

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 351,516,361, 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.

1 351,516,361
-1 -351,516,361

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 351,516,361.

Example:
1 x 351,516,361 = 351,516,361
and
-1 x -351,516,361 = 351,516,361
Notice both answers equal 351,516,361

With that explanation out of the way, let's continue. Next, we take the number 351,516,361 and divide it by 2:

351,516,361 ÷ 2 = 175,758,180.5

If the quotient is a whole number, then 2 and 175,758,180.5 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:

1 351,516,361
-1 -351,516,361

Now, we try dividing 351,516,361 by 3:

351,516,361 ÷ 3 = 117,172,120.3333

If the quotient is a whole number, then 3 and 117,172,120.3333 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:

1 351,516,361
-1 -351,516,361

Let's try dividing by 4:

351,516,361 ÷ 4 = 87,879,090.25

If the quotient is a whole number, then 4 and 87,879,090.25 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:

1 351,516,361
-1 351,516,361
Keep dividing by the next highest number until you cannot divide anymore.

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

17171191319172,22715,58922,549157,843383,3332,683,3312,953,91920,677,43350,216,623351,516,361
-1-7-17-119-131-917-2,227-15,589-22,549-157,843-383,333-2,683,331-2,953,919-20,677,433-50,216,623-351,516,361

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 351,516,361:


Ask a Question