Q: What are the factor combinations of the number 5,003,375?

 A:
Positive:   1 x 50033755 x 100067513 x 38487525 x 20013565 x 76975125 x 40027325 x 153951625 x 3079
Negative: -1 x -5003375-5 x -1000675-13 x -384875-25 x -200135-65 x -76975-125 x -40027-325 x -15395-1625 x -3079


How do I find the factor combinations of the number 5,003,375?

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 5,003,375, 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 5,003,375
-1 -5,003,375

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 5,003,375.

Example:
1 x 5,003,375 = 5,003,375
and
-1 x -5,003,375 = 5,003,375
Notice both answers equal 5,003,375

With that explanation out of the way, let's continue. Next, we take the number 5,003,375 and divide it by 2:

5,003,375 ÷ 2 = 2,501,687.5

If the quotient is a whole number, then 2 and 2,501,687.5 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 5,003,375
-1 -5,003,375

Now, we try dividing 5,003,375 by 3:

5,003,375 ÷ 3 = 1,667,791.6667

If the quotient is a whole number, then 3 and 1,667,791.6667 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 5,003,375
-1 -5,003,375

Let's try dividing by 4:

5,003,375 ÷ 4 = 1,250,843.75

If the quotient is a whole number, then 4 and 1,250,843.75 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 5,003,375
-1 5,003,375
Keep dividing by the next highest number until you cannot divide anymore.

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

151325651253251,6253,07915,39540,02776,975200,135384,8751,000,6755,003,375
-1-5-13-25-65-125-325-1,625-3,079-15,395-40,027-76,975-200,135-384,875-1,000,675-5,003,375

More Examples

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