Q: What are the factor combinations of the number 48,047,375?

 A:
Positive:   1 x 480473755 x 960947525 x 192189567 x 717125125 x 384379335 x 1434251675 x 286855737 x 8375
Negative: -1 x -48047375-5 x -9609475-25 x -1921895-67 x -717125-125 x -384379-335 x -143425-1675 x -28685-5737 x -8375


How do I find the factor combinations of the number 48,047,375?

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 48,047,375, 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 48,047,375
-1 -48,047,375

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 48,047,375.

Example:
1 x 48,047,375 = 48,047,375
and
-1 x -48,047,375 = 48,047,375
Notice both answers equal 48,047,375

With that explanation out of the way, let's continue. Next, we take the number 48,047,375 and divide it by 2:

48,047,375 ÷ 2 = 24,023,687.5

If the quotient is a whole number, then 2 and 24,023,687.5 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 48,047,375
-1 -48,047,375

Now, we try dividing 48,047,375 by 3:

48,047,375 ÷ 3 = 16,015,791.6667

If the quotient is a whole number, then 3 and 16,015,791.6667 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 48,047,375
-1 -48,047,375

Let's try dividing by 4:

48,047,375 ÷ 4 = 12,011,843.75

If the quotient is a whole number, then 4 and 12,011,843.75 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 48,047,375
-1 48,047,375
Keep dividing by the next highest number until you cannot divide anymore.

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

1525671253351,6755,7378,37528,685143,425384,379717,1251,921,8959,609,47548,047,375
-1-5-25-67-125-335-1,675-5,737-8,375-28,685-143,425-384,379-717,125-1,921,895-9,609,475-48,047,375

More Examples

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