Q: What are the factor combinations of the number 315,333,451?

 A:
Positive:   1 x 315333451151 x 2088301
Negative: -1 x -315333451-151 x -2088301


How do I find the factor combinations of the number 315,333,451?

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 315,333,451, 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.

1 315,333,451
-1 -315,333,451

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 315,333,451.

Example:
1 x 315,333,451 = 315,333,451
and
-1 x -315,333,451 = 315,333,451
Notice both answers equal 315,333,451

With that explanation out of the way, let's continue. Next, we take the number 315,333,451 and divide it by 2:

315,333,451 ÷ 2 = 157,666,725.5

If the quotient is a whole number, then 2 and 157,666,725.5 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:

1 315,333,451
-1 -315,333,451

Now, we try dividing 315,333,451 by 3:

315,333,451 ÷ 3 = 105,111,150.3333

If the quotient is a whole number, then 3 and 105,111,150.3333 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:

1 315,333,451
-1 -315,333,451

Let's try dividing by 4:

315,333,451 ÷ 4 = 78,833,362.75

If the quotient is a whole number, then 4 and 78,833,362.75 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:

1 315,333,451
-1 315,333,451
Keep dividing by the next highest number until you cannot divide anymore.

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

11512,088,301315,333,451
-1-151-2,088,301-315,333,451

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 315,333,451:


Ask a Question