Q: What are the factor combinations of the number 6,315,625?

 A:
Positive:   1 x 63156255 x 126312525 x 25262543 x 14687547 x 134375125 x 50525215 x 29375235 x 26875625 x 101051075 x 58751175 x 53752021 x 3125
Negative: -1 x -6315625-5 x -1263125-25 x -252625-43 x -146875-47 x -134375-125 x -50525-215 x -29375-235 x -26875-625 x -10105-1075 x -5875-1175 x -5375-2021 x -3125


How do I find the factor combinations of the number 6,315,625?

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 6,315,625, 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 6,315,625
-1 -6,315,625

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 6,315,625.

Example:
1 x 6,315,625 = 6,315,625
and
-1 x -6,315,625 = 6,315,625
Notice both answers equal 6,315,625

With that explanation out of the way, let's continue. Next, we take the number 6,315,625 and divide it by 2:

6,315,625 ÷ 2 = 3,157,812.5

If the quotient is a whole number, then 2 and 3,157,812.5 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 6,315,625
-1 -6,315,625

Now, we try dividing 6,315,625 by 3:

6,315,625 ÷ 3 = 2,105,208.3333

If the quotient is a whole number, then 3 and 2,105,208.3333 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 6,315,625
-1 -6,315,625

Let's try dividing by 4:

6,315,625 ÷ 4 = 1,578,906.25

If the quotient is a whole number, then 4 and 1,578,906.25 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 6,315,625
-1 6,315,625
Keep dividing by the next highest number until you cannot divide anymore.

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

152543471252152356251,0751,1752,0213,1255,3755,87510,10526,87529,37550,525134,375146,875252,6251,263,1256,315,625
-1-5-25-43-47-125-215-235-625-1,075-1,175-2,021-3,125-5,375-5,875-10,105-26,875-29,375-50,525-134,375-146,875-252,625-1,263,125-6,315,625

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 6,315,625:


Ask a Question