Q: What are the factor combinations of the number 3,616,615?

 A:
Positive:   1 x 36166155 x 72332331 x 116665155 x 23333
Negative: -1 x -3616615-5 x -723323-31 x -116665-155 x -23333


How do I find the factor combinations of the number 3,616,615?

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 3,616,615, 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 3,616,615
-1 -3,616,615

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 3,616,615.

Example:
1 x 3,616,615 = 3,616,615
and
-1 x -3,616,615 = 3,616,615
Notice both answers equal 3,616,615

With that explanation out of the way, let's continue. Next, we take the number 3,616,615 and divide it by 2:

3,616,615 ÷ 2 = 1,808,307.5

If the quotient is a whole number, then 2 and 1,808,307.5 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 3,616,615
-1 -3,616,615

Now, we try dividing 3,616,615 by 3:

3,616,615 ÷ 3 = 1,205,538.3333

If the quotient is a whole number, then 3 and 1,205,538.3333 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 3,616,615
-1 -3,616,615

Let's try dividing by 4:

3,616,615 ÷ 4 = 904,153.75

If the quotient is a whole number, then 4 and 904,153.75 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 3,616,615
-1 3,616,615
Keep dividing by the next highest number until you cannot divide anymore.

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

153115523,333116,665723,3233,616,615
-1-5-31-155-23,333-116,665-723,323-3,616,615

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 3,616,615:


Ask a Question