What is the product of 3 consecutive integers?

What is the product of 3 consecutive integers?

One of every three consecutive integers is divisible by 3 (in general, for any natural number n , one out of n consecutive integers is divisible by n). So the product of three consecutive integers will be a multiple of 3.

Which is the greatest divisor of the product of any 3 consecutive even integers?

The largest natural number by which the product of three consecutive even natural numbers is always divisible is 8x2x3 = 48. Hence, the correct option is C.

How do you translate the product of three consecutive numbers?

Just like the investigation on sum of consecutive numbers we can start by using three consecutive numbers and multiplying them.

1. 1 x 2 x 3 = 6.
2. 2 x 3 x 4= 24.
3. 3 x 4 x 5 = 60.

What is the product of consecutive integers?

Given two consecutive numbers, one must be even and one must be odd. Since the product of an even number and an odd number is always even, the product of two consecutive numbers (and, in fact, of any number of consecutive numbers) is always even.

How do you find the product of consecutive integers?

Let be the first of the consecutive integers, so the consecutive integers are . Then, their product is: In other words, it is the factorial of the largest integer, divided by the factorial of the integer one below the smallest one. If the consecutive integers contain , then is their product.

Which one of the following is the greatest number Bywhich the product of three consecutive Even_numbers would be exactly divisible?

∴ The number by which the product of three consecutive even numbers would be exactly divisible is 48.

How do you find the integers?

To calculate the number of integers, find subtract the integers of interest and then subtract 1. As a proof of concept, calculate the number of integers that fall between 5 and 10 on a number line. We know there are 4 (6, 7, 8, 9).

What are consecutive integers?

Consecutive integers are whole numbers that follow each other without gaps. For example, 15, 16, 17 are consecutive integers.

What are three consecutive integers 102?

Numbers are 32 , 34 and 36 .

What is the product of three consecutive integers?

For instance, if we say that n is an integer, the next consecutive integers are n+1, n+2. The product of these three consecutive numbers will be: n (n+1) (n+2) = n (n 2 + n + 2n + 2)

What are the consecutive integers properties numbers?

Answer : The following are the consecutive integers properties numbers: The difference between any two consecutive either odd or even integers is 2. Any set of integers has accurately one number divisible by n. For example, any six integers in a row must have a multiple of 6; any 15 integers will have one multiple of 15 and so on.

How many even and odd numbers are there in 4 consecutive integers?

In a set of 4 consecutive integers,it has two even and two odd numbers. Depending on the starting value, if a set has an odd number of consecutive integers, there will be a chance of more evens or more odds. But if a set has an even number of consecutive integers, the even and odd integers will be in equal number.

What is the sum of three consecutive even integers?

Three consecutive even integers can be represented by x, x+2, x+4. The sum is 3x+6, which is equal to 108. Thus, 3x+6=108. Solving for x yields x=34.