Q: What are the factor combinations of the number 15,004,675?

 A:
Positive:   1 x 150046755 x 30009357 x 214352525 x 60018735 x 428705175 x 85741179 x 83825479 x 31325895 x 167651253 x 119752395 x 62653353 x 4475
Negative: -1 x -15004675-5 x -3000935-7 x -2143525-25 x -600187-35 x -428705-175 x -85741-179 x -83825-479 x -31325-895 x -16765-1253 x -11975-2395 x -6265-3353 x -4475


How do I find the factor combinations of the number 15,004,675?

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 15,004,675, 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 15,004,675
-1 -15,004,675

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 15,004,675.

Example:
1 x 15,004,675 = 15,004,675
and
-1 x -15,004,675 = 15,004,675
Notice both answers equal 15,004,675

With that explanation out of the way, let's continue. Next, we take the number 15,004,675 and divide it by 2:

15,004,675 ÷ 2 = 7,502,337.5

If the quotient is a whole number, then 2 and 7,502,337.5 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 15,004,675
-1 -15,004,675

Now, we try dividing 15,004,675 by 3:

15,004,675 ÷ 3 = 5,001,558.3333

If the quotient is a whole number, then 3 and 5,001,558.3333 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 15,004,675
-1 -15,004,675

Let's try dividing by 4:

15,004,675 ÷ 4 = 3,751,168.75

If the quotient is a whole number, then 4 and 3,751,168.75 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 15,004,675
-1 15,004,675
Keep dividing by the next highest number until you cannot divide anymore.

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

15725351751794798951,2532,3953,3534,4756,26511,97516,76531,32583,82585,741428,705600,1872,143,5253,000,93515,004,675
-1-5-7-25-35-175-179-479-895-1,253-2,395-3,353-4,475-6,265-11,975-16,765-31,325-83,825-85,741-428,705-600,187-2,143,525-3,000,935-15,004,675

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