Q: What are the factor combinations of the number 3,617,005?

 A:
Positive:   1 x 36170055 x 7234017 x 51671517 x 21276535 x 10334385 x 42553119 x 30395595 x 6079
Negative: -1 x -3617005-5 x -723401-7 x -516715-17 x -212765-35 x -103343-85 x -42553-119 x -30395-595 x -6079


How do I find the factor combinations of the number 3,617,005?

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 3,617,005, 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 3,617,005
-1 -3,617,005

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 3,617,005.

Example:
1 x 3,617,005 = 3,617,005
and
-1 x -3,617,005 = 3,617,005
Notice both answers equal 3,617,005

With that explanation out of the way, let's continue. Next, we take the number 3,617,005 and divide it by 2:

3,617,005 ÷ 2 = 1,808,502.5

If the quotient is a whole number, then 2 and 1,808,502.5 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 3,617,005
-1 -3,617,005

Now, we try dividing 3,617,005 by 3:

3,617,005 ÷ 3 = 1,205,668.3333

If the quotient is a whole number, then 3 and 1,205,668.3333 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 3,617,005
-1 -3,617,005

Let's try dividing by 4:

3,617,005 ÷ 4 = 904,251.25

If the quotient is a whole number, then 4 and 904,251.25 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 3,617,005
-1 3,617,005
Keep dividing by the next highest number until you cannot divide anymore.

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

1571735851195956,07930,39542,553103,343212,765516,715723,4013,617,005
-1-5-7-17-35-85-119-595-6,079-30,395-42,553-103,343-212,765-516,715-723,401-3,617,005

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 3,617,005:


Ask a Question