Q: What are the factor combinations of the number 15,047,615?

 A:
Positive:   1 x 150476155 x 300952311 x 136796541 x 36701555 x 273593205 x 73403451 x 333652255 x 6673
Negative: -1 x -15047615-5 x -3009523-11 x -1367965-41 x -367015-55 x -273593-205 x -73403-451 x -33365-2255 x -6673


How do I find the factor combinations of the number 15,047,615?

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 15,047,615, 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 15,047,615
-1 -15,047,615

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 15,047,615.

Example:
1 x 15,047,615 = 15,047,615
and
-1 x -15,047,615 = 15,047,615
Notice both answers equal 15,047,615

With that explanation out of the way, let's continue. Next, we take the number 15,047,615 and divide it by 2:

15,047,615 ÷ 2 = 7,523,807.5

If the quotient is a whole number, then 2 and 7,523,807.5 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 15,047,615
-1 -15,047,615

Now, we try dividing 15,047,615 by 3:

15,047,615 ÷ 3 = 5,015,871.6667

If the quotient is a whole number, then 3 and 5,015,871.6667 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 15,047,615
-1 -15,047,615

Let's try dividing by 4:

15,047,615 ÷ 4 = 3,761,903.75

If the quotient is a whole number, then 4 and 3,761,903.75 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 15,047,615
-1 15,047,615
Keep dividing by the next highest number until you cannot divide anymore.

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

151141552054512,2556,67333,36573,403273,593367,0151,367,9653,009,52315,047,615
-1-5-11-41-55-205-451-2,255-6,673-33,365-73,403-273,593-367,015-1,367,965-3,009,523-15,047,615

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