Q: What are the factor combinations of the number 3,580,655?

 A:
Positive:   1 x 35806555 x 71613113 x 27543531 x 11550565 x 55087155 x 23101403 x 88851777 x 2015
Negative: -1 x -3580655-5 x -716131-13 x -275435-31 x -115505-65 x -55087-155 x -23101-403 x -8885-1777 x -2015


How do I find the factor combinations of the number 3,580,655?

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 3,580,655, 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 3,580,655
-1 -3,580,655

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 3,580,655.

Example:
1 x 3,580,655 = 3,580,655
and
-1 x -3,580,655 = 3,580,655
Notice both answers equal 3,580,655

With that explanation out of the way, let's continue. Next, we take the number 3,580,655 and divide it by 2:

3,580,655 ÷ 2 = 1,790,327.5

If the quotient is a whole number, then 2 and 1,790,327.5 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 3,580,655
-1 -3,580,655

Now, we try dividing 3,580,655 by 3:

3,580,655 ÷ 3 = 1,193,551.6667

If the quotient is a whole number, then 3 and 1,193,551.6667 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 3,580,655
-1 -3,580,655

Let's try dividing by 4:

3,580,655 ÷ 4 = 895,163.75

If the quotient is a whole number, then 4 and 895,163.75 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 3,580,655
-1 3,580,655
Keep dividing by the next highest number until you cannot divide anymore.

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

151331651554031,7772,0158,88523,10155,087115,505275,435716,1313,580,655
-1-5-13-31-65-155-403-1,777-2,015-8,885-23,101-55,087-115,505-275,435-716,131-3,580,655

More Examples

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