Q: What are the factor combinations of the number 15,655,115?

 A:
Positive:   1 x 156551155 x 31310237 x 223644535 x 447289433 x 361551033 x 151552165 x 72313031 x 5165
Negative: -1 x -15655115-5 x -3131023-7 x -2236445-35 x -447289-433 x -36155-1033 x -15155-2165 x -7231-3031 x -5165


How do I find the factor combinations of the number 15,655,115?

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 15,655,115, 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 15,655,115
-1 -15,655,115

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 15,655,115.

Example:
1 x 15,655,115 = 15,655,115
and
-1 x -15,655,115 = 15,655,115
Notice both answers equal 15,655,115

With that explanation out of the way, let's continue. Next, we take the number 15,655,115 and divide it by 2:

15,655,115 ÷ 2 = 7,827,557.5

If the quotient is a whole number, then 2 and 7,827,557.5 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 15,655,115
-1 -15,655,115

Now, we try dividing 15,655,115 by 3:

15,655,115 ÷ 3 = 5,218,371.6667

If the quotient is a whole number, then 3 and 5,218,371.6667 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 15,655,115
-1 -15,655,115

Let's try dividing by 4:

15,655,115 ÷ 4 = 3,913,778.75

If the quotient is a whole number, then 4 and 3,913,778.75 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 15,655,115
-1 15,655,115
Keep dividing by the next highest number until you cannot divide anymore.

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

157354331,0332,1653,0315,1657,23115,15536,155447,2892,236,4453,131,02315,655,115
-1-5-7-35-433-1,033-2,165-3,031-5,165-7,231-15,155-36,155-447,289-2,236,445-3,131,023-15,655,115

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