Q: What are the factor combinations of the number 3,816,155?

 A:
Positive:   1 x 38161555 x 7632317 x 54516535 x 109033107 x 35665535 x 7133749 x 50951019 x 3745
Negative: -1 x -3816155-5 x -763231-7 x -545165-35 x -109033-107 x -35665-535 x -7133-749 x -5095-1019 x -3745


How do I find the factor combinations of the number 3,816,155?

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 3,816,155, 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 3,816,155
-1 -3,816,155

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 3,816,155.

Example:
1 x 3,816,155 = 3,816,155
and
-1 x -3,816,155 = 3,816,155
Notice both answers equal 3,816,155

With that explanation out of the way, let's continue. Next, we take the number 3,816,155 and divide it by 2:

3,816,155 ÷ 2 = 1,908,077.5

If the quotient is a whole number, then 2 and 1,908,077.5 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 3,816,155
-1 -3,816,155

Now, we try dividing 3,816,155 by 3:

3,816,155 ÷ 3 = 1,272,051.6667

If the quotient is a whole number, then 3 and 1,272,051.6667 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 3,816,155
-1 -3,816,155

Let's try dividing by 4:

3,816,155 ÷ 4 = 954,038.75

If the quotient is a whole number, then 4 and 954,038.75 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 3,816,155
-1 3,816,155
Keep dividing by the next highest number until you cannot divide anymore.

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

157351075357491,0193,7455,0957,13335,665109,033545,165763,2313,816,155
-1-5-7-35-107-535-749-1,019-3,745-5,095-7,133-35,665-109,033-545,165-763,231-3,816,155

More Examples

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