Q: What are the factor combinations of the number 15,443,615?

 A:
Positive:   1 x 154436155 x 308872311 x 140396537 x 41739555 x 280793185 x 83479407 x 379452035 x 7589
Negative: -1 x -15443615-5 x -3088723-11 x -1403965-37 x -417395-55 x -280793-185 x -83479-407 x -37945-2035 x -7589


How do I find the factor combinations of the number 15,443,615?

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 15,443,615, 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 15,443,615
-1 -15,443,615

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 15,443,615.

Example:
1 x 15,443,615 = 15,443,615
and
-1 x -15,443,615 = 15,443,615
Notice both answers equal 15,443,615

With that explanation out of the way, let's continue. Next, we take the number 15,443,615 and divide it by 2:

15,443,615 ÷ 2 = 7,721,807.5

If the quotient is a whole number, then 2 and 7,721,807.5 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 15,443,615
-1 -15,443,615

Now, we try dividing 15,443,615 by 3:

15,443,615 ÷ 3 = 5,147,871.6667

If the quotient is a whole number, then 3 and 5,147,871.6667 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 15,443,615
-1 -15,443,615

Let's try dividing by 4:

15,443,615 ÷ 4 = 3,860,903.75

If the quotient is a whole number, then 4 and 3,860,903.75 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 15,443,615
-1 15,443,615
Keep dividing by the next highest number until you cannot divide anymore.

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

151137551854072,0357,58937,94583,479280,793417,3951,403,9653,088,72315,443,615
-1-5-11-37-55-185-407-2,035-7,589-37,945-83,479-280,793-417,395-1,403,965-3,088,723-15,443,615

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