Q: What are the factor combinations of the number 3,600,595?

 A:
Positive:   1 x 36005955 x 72011919 x 18950595 x 37901151 x 23845251 x 14345755 x 47691255 x 2869
Negative: -1 x -3600595-5 x -720119-19 x -189505-95 x -37901-151 x -23845-251 x -14345-755 x -4769-1255 x -2869


How do I find the factor combinations of the number 3,600,595?

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 3,600,595, 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 3,600,595
-1 -3,600,595

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 3,600,595.

Example:
1 x 3,600,595 = 3,600,595
and
-1 x -3,600,595 = 3,600,595
Notice both answers equal 3,600,595

With that explanation out of the way, let's continue. Next, we take the number 3,600,595 and divide it by 2:

3,600,595 ÷ 2 = 1,800,297.5

If the quotient is a whole number, then 2 and 1,800,297.5 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 3,600,595
-1 -3,600,595

Now, we try dividing 3,600,595 by 3:

3,600,595 ÷ 3 = 1,200,198.3333

If the quotient is a whole number, then 3 and 1,200,198.3333 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 3,600,595
-1 -3,600,595

Let's try dividing by 4:

3,600,595 ÷ 4 = 900,148.75

If the quotient is a whole number, then 4 and 900,148.75 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 3,600,595
-1 3,600,595
Keep dividing by the next highest number until you cannot divide anymore.

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

1519951512517551,2552,8694,76914,34523,84537,901189,505720,1193,600,595
-1-5-19-95-151-251-755-1,255-2,869-4,769-14,345-23,845-37,901-189,505-720,119-3,600,595

More Examples

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