Q: What are the factor combinations of the number 315,046,615?

 A:
Positive:   1 x 3150466155 x 6300932313 x 2423435565 x 4846871103 x 3058705515 x 6117411339 x 2352856695 x 47057
Negative: -1 x -315046615-5 x -63009323-13 x -24234355-65 x -4846871-103 x -3058705-515 x -611741-1339 x -235285-6695 x -47057


How do I find the factor combinations of the number 315,046,615?

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 315,046,615, 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.

1 315,046,615
-1 -315,046,615

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 315,046,615.

Example:
1 x 315,046,615 = 315,046,615
and
-1 x -315,046,615 = 315,046,615
Notice both answers equal 315,046,615

With that explanation out of the way, let's continue. Next, we take the number 315,046,615 and divide it by 2:

315,046,615 ÷ 2 = 157,523,307.5

If the quotient is a whole number, then 2 and 157,523,307.5 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:

1 315,046,615
-1 -315,046,615

Now, we try dividing 315,046,615 by 3:

315,046,615 ÷ 3 = 105,015,538.3333

If the quotient is a whole number, then 3 and 105,015,538.3333 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:

1 315,046,615
-1 -315,046,615

Let's try dividing by 4:

315,046,615 ÷ 4 = 78,761,653.75

If the quotient is a whole number, then 4 and 78,761,653.75 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:

1 315,046,615
-1 315,046,615
Keep dividing by the next highest number until you cannot divide anymore.

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

1513651035151,3396,69547,057235,285611,7413,058,7054,846,87124,234,35563,009,323315,046,615
-1-5-13-65-103-515-1,339-6,695-47,057-235,285-611,741-3,058,705-4,846,871-24,234,355-63,009,323-315,046,615

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 315,046,615:


Ask a Question