Q: What are the factor combinations of the number 248,315,125?

 A:
Positive:   1 x 2483151255 x 4966302525 x 9932605125 x 1986521157 x 1581625785 x 3163253925 x 6326512653 x 19625
Negative: -1 x -248315125-5 x -49663025-25 x -9932605-125 x -1986521-157 x -1581625-785 x -316325-3925 x -63265-12653 x -19625


How do I find the factor combinations of the number 248,315,125?

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 248,315,125, 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.

1 248,315,125
-1 -248,315,125

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 248,315,125.

Example:
1 x 248,315,125 = 248,315,125
and
-1 x -248,315,125 = 248,315,125
Notice both answers equal 248,315,125

With that explanation out of the way, let's continue. Next, we take the number 248,315,125 and divide it by 2:

248,315,125 ÷ 2 = 124,157,562.5

If the quotient is a whole number, then 2 and 124,157,562.5 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:

1 248,315,125
-1 -248,315,125

Now, we try dividing 248,315,125 by 3:

248,315,125 ÷ 3 = 82,771,708.3333

If the quotient is a whole number, then 3 and 82,771,708.3333 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:

1 248,315,125
-1 -248,315,125

Let's try dividing by 4:

248,315,125 ÷ 4 = 62,078,781.25

If the quotient is a whole number, then 4 and 62,078,781.25 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:

1 248,315,125
-1 248,315,125
Keep dividing by the next highest number until you cannot divide anymore.

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

15251251577853,92512,65319,62563,265316,3251,581,6251,986,5219,932,60549,663,025248,315,125
-1-5-25-125-157-785-3,925-12,653-19,625-63,265-316,325-1,581,625-1,986,521-9,932,605-49,663,025-248,315,125

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 248,315,125:


Ask a Question