Q: What are the factor combinations of the number 15,424,559?

 A:
Positive:   1 x 1542455917 x 90732723 x 670633103 x 149753383 x 40273391 x 394491751 x 88092369 x 6511
Negative: -1 x -15424559-17 x -907327-23 x -670633-103 x -149753-383 x -40273-391 x -39449-1751 x -8809-2369 x -6511


How do I find the factor combinations of the number 15,424,559?

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 15,424,559, 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 15,424,559
-1 -15,424,559

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 15,424,559.

Example:
1 x 15,424,559 = 15,424,559
and
-1 x -15,424,559 = 15,424,559
Notice both answers equal 15,424,559

With that explanation out of the way, let's continue. Next, we take the number 15,424,559 and divide it by 2:

15,424,559 ÷ 2 = 7,712,279.5

If the quotient is a whole number, then 2 and 7,712,279.5 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 15,424,559
-1 -15,424,559

Now, we try dividing 15,424,559 by 3:

15,424,559 ÷ 3 = 5,141,519.6667

If the quotient is a whole number, then 3 and 5,141,519.6667 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 15,424,559
-1 -15,424,559

Let's try dividing by 4:

15,424,559 ÷ 4 = 3,856,139.75

If the quotient is a whole number, then 4 and 3,856,139.75 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 15,424,559
-1 15,424,559
Keep dividing by the next highest number until you cannot divide anymore.

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

117231033833911,7512,3696,5118,80939,44940,273149,753670,633907,32715,424,559
-1-17-23-103-383-391-1,751-2,369-6,511-8,809-39,449-40,273-149,753-670,633-907,327-15,424,559

More Examples

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