Consecutive Integers Product Calculator

Welcome to the Consecutive Integers Product Calculator, the preferred tool for quickly calculating the product of consecutive integers between two specified numbers.

Similar to the sum of consecutive integers calculator, the consecutive product calculator can not only calculate consecutive integers product, but also calculate the product of consecutive odd integers or even integers separately.

Let’s first look at a simple example, the product of consecutive numbers from 1 to 5, the answer is

1 * 2 * 3 * 4 * 5.

Are you familiar with this calculation? Yes, it is the factorial in mathematics

5! = 5 * 4 * 3 *  2 * 1

The order is reversed but the calculated results are consistent. Thus, if we find the consecutive integers product from 1 to N, it can be calculated by factorial.

But if the starting number is not 1, as in the example above, if the starting number is 3, calculate consecutive integers product from 3 to 5. How to calculate? It’s simple: 3 * 4 * 5. But if there are many consecutive integers, such as the product of consecutive integers from 3 to 100, it is obviously impossible to list them one by one. Is there a general formula to express it? Let’s look at the product of continuous integers from 3 to 5. If we multiply expression by 1 * 2, it is the factorial of 5, but the factorial of 5 is not the result we want. The result we want must be excluded 1 * 2, so the equation can be converted to

3 * 4 * 5 = 1 * 2 * 3 * 4 * 5 / 1 * 2 = 5! / 2!

Now, let’s sort it out, if the starting number is A and the ending number is B, then the formula of consecutive integers product is:

Product(A, B) = B! / (A – 1)!

To verify, we calculate an example: find the consecutive integers product from 6 to 10.

The first method, list all integers directly, and then multiply them

6 * 7 * 8 * 9  * 10 = 30240

The second method, using the formula above, A = 6, B = 10, so the expression is:

10! / (6 – 1)! = 3628800 / 120 = 30240

Obviously, the result calculated by the formula is consistent with the first approach. So this consecutive integers product formula meets our requirements.

Here, we are going to introduce the steps to use the consecutive integers product calculator. It’s very simple, just 4 steps.

Now, introduce some examples, so that you can more clearly understand how to use the consecutive integers product calculator.

Example 1: the product of consecutive integers between 15 to 20

Enter the number 15 in the first box and number 20 in the second box, then click calculation button.

Example 2: the product of consecutive even integers from 10 to 20

First, enter the number 10 into the first input box, then enter 20 into the second input box. Third, select the even integers type. Fourth, click calculate button.

Example 3: consecutive odd integers product from 10 to 20

Similar to the second example, but select the odd integers type in the third step.

Compared with the sum of consecutive integers, the product of consecutive integers is much more complicated, especially for the product of consecutive even or odd integers. If there is no consecutive integers product calculator, the desired result must be obtained through multiple calculations. So the consecutive integers product calculator should be very practical for you. Just enter the starting number and ending number, the result will show immediately.