Q: What are the factor combinations of the number 356,204,215?

 A:
Positive:   1 x 3562042155 x 712408434073 x 8745517491 x 20365
Negative: -1 x -356204215-5 x -71240843-4073 x -87455-17491 x -20365


How do I find the factor combinations of the number 356,204,215?

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 356,204,215, 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.

1 356,204,215
-1 -356,204,215

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 356,204,215.

Example:
1 x 356,204,215 = 356,204,215
and
-1 x -356,204,215 = 356,204,215
Notice both answers equal 356,204,215

With that explanation out of the way, let's continue. Next, we take the number 356,204,215 and divide it by 2:

356,204,215 ÷ 2 = 178,102,107.5

If the quotient is a whole number, then 2 and 178,102,107.5 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:

1 356,204,215
-1 -356,204,215

Now, we try dividing 356,204,215 by 3:

356,204,215 ÷ 3 = 118,734,738.3333

If the quotient is a whole number, then 3 and 118,734,738.3333 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:

1 356,204,215
-1 -356,204,215

Let's try dividing by 4:

356,204,215 ÷ 4 = 89,051,053.75

If the quotient is a whole number, then 4 and 89,051,053.75 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:

1 356,204,215
-1 356,204,215
Keep dividing by the next highest number until you cannot divide anymore.

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

154,07317,49120,36587,45571,240,843356,204,215
-1-5-4,073-17,491-20,365-87,455-71,240,843-356,204,215

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 356,204,215:


Ask a Question