Q: What are the factor combinations of the number 15,439,529?

 A:
Positive:   1 x 154395297 x 2205647113 x 136633131 x 117859149 x 103621791 x 19519917 x 168371043 x 14803
Negative: -1 x -15439529-7 x -2205647-113 x -136633-131 x -117859-149 x -103621-791 x -19519-917 x -16837-1043 x -14803


How do I find the factor combinations of the number 15,439,529?

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 15,439,529, 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 15,439,529
-1 -15,439,529

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 15,439,529.

Example:
1 x 15,439,529 = 15,439,529
and
-1 x -15,439,529 = 15,439,529
Notice both answers equal 15,439,529

With that explanation out of the way, let's continue. Next, we take the number 15,439,529 and divide it by 2:

15,439,529 ÷ 2 = 7,719,764.5

If the quotient is a whole number, then 2 and 7,719,764.5 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 15,439,529
-1 -15,439,529

Now, we try dividing 15,439,529 by 3:

15,439,529 ÷ 3 = 5,146,509.6667

If the quotient is a whole number, then 3 and 5,146,509.6667 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 15,439,529
-1 -15,439,529

Let's try dividing by 4:

15,439,529 ÷ 4 = 3,859,882.25

If the quotient is a whole number, then 4 and 3,859,882.25 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 15,439,529
-1 15,439,529
Keep dividing by the next highest number until you cannot divide anymore.

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

171131311497919171,04314,80316,83719,519103,621117,859136,6332,205,64715,439,529
-1-7-113-131-149-791-917-1,043-14,803-16,837-19,519-103,621-117,859-136,633-2,205,647-15,439,529

More Examples

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