Q: What are the factor combinations of the number 15,371,615?

 A:
Positive:   1 x 153716155 x 30743237 x 219594535 x 439189431 x 356651019 x 150852155 x 71333017 x 5095
Negative: -1 x -15371615-5 x -3074323-7 x -2195945-35 x -439189-431 x -35665-1019 x -15085-2155 x -7133-3017 x -5095


How do I find the factor combinations of the number 15,371,615?

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 15,371,615, 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 15,371,615
-1 -15,371,615

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 15,371,615.

Example:
1 x 15,371,615 = 15,371,615
and
-1 x -15,371,615 = 15,371,615
Notice both answers equal 15,371,615

With that explanation out of the way, let's continue. Next, we take the number 15,371,615 and divide it by 2:

15,371,615 ÷ 2 = 7,685,807.5

If the quotient is a whole number, then 2 and 7,685,807.5 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 15,371,615
-1 -15,371,615

Now, we try dividing 15,371,615 by 3:

15,371,615 ÷ 3 = 5,123,871.6667

If the quotient is a whole number, then 3 and 5,123,871.6667 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 15,371,615
-1 -15,371,615

Let's try dividing by 4:

15,371,615 ÷ 4 = 3,842,903.75

If the quotient is a whole number, then 4 and 3,842,903.75 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 15,371,615
-1 15,371,615
Keep dividing by the next highest number until you cannot divide anymore.

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

157354311,0192,1553,0175,0957,13315,08535,665439,1892,195,9453,074,32315,371,615
-1-5-7-35-431-1,019-2,155-3,017-5,095-7,133-15,085-35,665-439,189-2,195,945-3,074,323-15,371,615

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