Q: What are the factor combinations of the number 15,026,825?

 A:
Positive:   1 x 150268255 x 300536511 x 136607525 x 60107353 x 28352555 x 273215265 x 56705275 x 54643583 x 257751031 x 145751325 x 113412915 x 5155
Negative: -1 x -15026825-5 x -3005365-11 x -1366075-25 x -601073-53 x -283525-55 x -273215-265 x -56705-275 x -54643-583 x -25775-1031 x -14575-1325 x -11341-2915 x -5155


How do I find the factor combinations of the number 15,026,825?

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 15,026,825, 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 15,026,825
-1 -15,026,825

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 15,026,825.

Example:
1 x 15,026,825 = 15,026,825
and
-1 x -15,026,825 = 15,026,825
Notice both answers equal 15,026,825

With that explanation out of the way, let's continue. Next, we take the number 15,026,825 and divide it by 2:

15,026,825 ÷ 2 = 7,513,412.5

If the quotient is a whole number, then 2 and 7,513,412.5 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 15,026,825
-1 -15,026,825

Now, we try dividing 15,026,825 by 3:

15,026,825 ÷ 3 = 5,008,941.6667

If the quotient is a whole number, then 3 and 5,008,941.6667 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 15,026,825
-1 -15,026,825

Let's try dividing by 4:

15,026,825 ÷ 4 = 3,756,706.25

If the quotient is a whole number, then 4 and 3,756,706.25 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 15,026,825
-1 15,026,825
Keep dividing by the next highest number until you cannot divide anymore.

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

15112553552652755831,0311,3252,9155,15511,34114,57525,77554,64356,705273,215283,525601,0731,366,0753,005,36515,026,825
-1-5-11-25-53-55-265-275-583-1,031-1,325-2,915-5,155-11,341-14,575-25,775-54,643-56,705-273,215-283,525-601,073-1,366,075-3,005,365-15,026,825

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