Q: What are the factor combinations of the number 5,047,375?

 A:
Positive:   1 x 50473755 x 100947525 x 201895125 x 40379149 x 33875271 x 18625745 x 67751355 x 3725
Negative: -1 x -5047375-5 x -1009475-25 x -201895-125 x -40379-149 x -33875-271 x -18625-745 x -6775-1355 x -3725


How do I find the factor combinations of the number 5,047,375?

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 5,047,375, 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 5,047,375
-1 -5,047,375

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 5,047,375.

Example:
1 x 5,047,375 = 5,047,375
and
-1 x -5,047,375 = 5,047,375
Notice both answers equal 5,047,375

With that explanation out of the way, let's continue. Next, we take the number 5,047,375 and divide it by 2:

5,047,375 ÷ 2 = 2,523,687.5

If the quotient is a whole number, then 2 and 2,523,687.5 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 5,047,375
-1 -5,047,375

Now, we try dividing 5,047,375 by 3:

5,047,375 ÷ 3 = 1,682,458.3333

If the quotient is a whole number, then 3 and 1,682,458.3333 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 5,047,375
-1 -5,047,375

Let's try dividing by 4:

5,047,375 ÷ 4 = 1,261,843.75

If the quotient is a whole number, then 4 and 1,261,843.75 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 5,047,375
-1 5,047,375
Keep dividing by the next highest number until you cannot divide anymore.

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

15251251492717451,3553,7256,77518,62533,87540,379201,8951,009,4755,047,375
-1-5-25-125-149-271-745-1,355-3,725-6,775-18,625-33,875-40,379-201,895-1,009,475-5,047,375

More Examples

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