What Is The Smallest Of 3 Consecutive Positive Integers If The Product?

by | Last updated on January 24, 2024

, , , ,

the numbers are -5 and 1. The three numbers are

4

,5, and 6. The smallest positive number is 4. Hope this helps.

What are 3 consecutive positive integers?

Explanation: 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.

What is the smallest of 3 consecutive positive integers if the product of the smaller two integers is 5 less than 5 times the largest integer *?

What is the smallest of 3 consecutive positive integers if the product of the smaller two integers is 5 less than 5 times the largest integer? The numbers would be

5,6 and 7

. Since, 5 × 6 = 30 and 7 × 5 = 35.

What is the product of three consecutive integers?

If n = 3k + 2, then n + 1 = 3k + 2 + 1 = 3k + 3 = 3(k + 1) which is again divisible by 3. So we can say that one of the numbers among (n, n + 1 and n + 2) is always divisible by 3. Therefore the product of numbers

n(n+1)(n+2)

is always divisible by 3.

How do you find the product of three consecutive numbers?

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

What are two consecutive positive integers?

Thus, the two consecutive positive integers are

17 and 18

. Note:-Numbers that follow each other continuously in the order from smallest to largest are called consecutive numbers For Ex. 1,2,3,4,5 .

What are 2 consecutive odd numbers?

For any two consecutive odd numbers,

the difference is 2

. For example, 3 and 5 are two consecutive odd numbers, their difference = 5 – 3 = 2. For any two consecutive even numbers, the difference is 2. For example, 6 and 8 are two consecutive even numbers, their difference = 8 – 6 = 2.

What are consecutive integers examples?

  • -4,-3,-2, −1, 0, 1, 2, 3, 4.
  • 10,11,12,13,14,15,16.
  • 100,101,102,103,104,105,106.
  • -1, 0, 1, 2, 3, 4, 5, 6.
  • -20, -19, -18, -17.

What is the product of three negative integer?

The product of three negative integers is

a negative integer

.

Is it true that product of 3 consecutive natural numbers is always divisible by 6 Justify?

Yes. If you have 3 consecutive natural numbers, then at least 1 of them must be divisible by 2, and 1 of them must be divisible by 3. Thus their product must always be divisible by

2×3=6

.

Is the product of 3 consecutive numbers divisible by 6?

Yes, the statement “the product of three consecutive positive integers

is divisible

by 6” is true. Let us asume the numbers to be (x) , (x + 1) ,(x + 2). A number which is divided by 3, will be having the remainder 0 or 1 or 2.

What three consecutive odd numbers have a product of 15525?

Checking:

23*25*27

= 15,525.

What happens when you add 3 consecutive numbers?

Adding three consecutive numbers is like adding the

smaller number to itself three times and then adding 1, for the second number, and two for the third number

. S: Ok, Sum of three consecutive numbers = 3 x smallest number + 1 + 2. … So, the sum of three consecutive numbers is divisible by 3!

What three consecutive integers have a sum of 72?

  • Let the three consecutive numbers be x,x+1,x+2 .
  • x+x+1+x+2=72.
  • 3x+3=72.
  • 3x=69.
  • x=23.
  • 23,24,and25 and the smallest one is 23 .
Ahmed Ali
Author
Ahmed Ali
Ahmed Ali is a financial analyst with over 15 years of experience in the finance industry. He has worked for major banks and investment firms, and has a wealth of knowledge on investing, real estate, and tax planning. Ahmed is also an advocate for financial literacy and education.