Q: What are the factor combinations of the number 48,560,975?

 A:
Positive:   1 x 485609755 x 971219525 x 194243943 x 1129325199 x 244025215 x 225865227 x 213925995 x 488051075 x 451731135 x 427854975 x 97615675 x 8557
Negative: -1 x -48560975-5 x -9712195-25 x -1942439-43 x -1129325-199 x -244025-215 x -225865-227 x -213925-995 x -48805-1075 x -45173-1135 x -42785-4975 x -9761-5675 x -8557


How do I find the factor combinations of the number 48,560,975?

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 48,560,975, 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 48,560,975
-1 -48,560,975

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 48,560,975.

Example:
1 x 48,560,975 = 48,560,975
and
-1 x -48,560,975 = 48,560,975
Notice both answers equal 48,560,975

With that explanation out of the way, let's continue. Next, we take the number 48,560,975 and divide it by 2:

48,560,975 ÷ 2 = 24,280,487.5

If the quotient is a whole number, then 2 and 24,280,487.5 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 48,560,975
-1 -48,560,975

Now, we try dividing 48,560,975 by 3:

48,560,975 ÷ 3 = 16,186,991.6667

If the quotient is a whole number, then 3 and 16,186,991.6667 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 48,560,975
-1 -48,560,975

Let's try dividing by 4:

48,560,975 ÷ 4 = 12,140,243.75

If the quotient is a whole number, then 4 and 12,140,243.75 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 48,560,975
-1 48,560,975
Keep dividing by the next highest number until you cannot divide anymore.

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

1525431992152279951,0751,1354,9755,6758,5579,76142,78545,17348,805213,925225,865244,0251,129,3251,942,4399,712,19548,560,975
-1-5-25-43-199-215-227-995-1,075-1,135-4,975-5,675-8,557-9,761-42,785-45,173-48,805-213,925-225,865-244,025-1,129,325-1,942,439-9,712,195-48,560,975

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 48,560,975:


Ask a Question