Q: What are the factor combinations of the number 7,523,375?

 A:
Positive:   1 x 75233755 x 150467525 x 300935125 x 60187139 x 54125433 x 17375695 x 108252165 x 3475
Negative: -1 x -7523375-5 x -1504675-25 x -300935-125 x -60187-139 x -54125-433 x -17375-695 x -10825-2165 x -3475


How do I find the factor combinations of the number 7,523,375?

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 7,523,375, 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 7,523,375
-1 -7,523,375

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 7,523,375.

Example:
1 x 7,523,375 = 7,523,375
and
-1 x -7,523,375 = 7,523,375
Notice both answers equal 7,523,375

With that explanation out of the way, let's continue. Next, we take the number 7,523,375 and divide it by 2:

7,523,375 ÷ 2 = 3,761,687.5

If the quotient is a whole number, then 2 and 3,761,687.5 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 7,523,375
-1 -7,523,375

Now, we try dividing 7,523,375 by 3:

7,523,375 ÷ 3 = 2,507,791.6667

If the quotient is a whole number, then 3 and 2,507,791.6667 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 7,523,375
-1 -7,523,375

Let's try dividing by 4:

7,523,375 ÷ 4 = 1,880,843.75

If the quotient is a whole number, then 4 and 1,880,843.75 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 7,523,375
-1 7,523,375
Keep dividing by the next highest number until you cannot divide anymore.

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

15251251394336952,1653,47510,82517,37554,12560,187300,9351,504,6757,523,375
-1-5-25-125-139-433-695-2,165-3,475-10,825-17,375-54,125-60,187-300,935-1,504,675-7,523,375

More Examples

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