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

by | Last updated on January 24, 2024

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The smallest positive number is 4 . Hope this helps.

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 smallest of 3 consecutive positive integers if the product?

Since the numbers have to be positive, the smallest number is 5 .

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 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.

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 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.

How do you find consecutive integers?

A typical problem of this type is, “The sum of three consecutive integers is 114.” To set it up, you assign a variable such as x to the first of the numbers. Then, by the definition of consecutive, the next two numbers are x + 1 and x + 2. The equation is x + (x + 1) + (x + 2) = 114. Simplify to 3x + 3 = 114.

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 .

How do you find the product of three numbers?

  1. 2 × 4 × 9 = 72. The sum means that you need to add the three numbers together.
  2. 2 + 4 + 9 = 15.

What two consecutive numbers have a product of 210?

The equation is x(x + 1) = 210 . 2) The integers are 5 and 7. (NOTE: –1.5 and 0.5 are not integers.) To set up this problem, let x = the first integer.

Are two consecutive numbers always Coprime?

Any two consecutive integers are always coprime . Sum of any two coprime numbers is always coprime to their product. 1 is trivially coprime with all numbers. if out of two numbers, any one number is a prime number while the other number is not a multiple of first one, then both are coprime.

What are consecutive positive even integers?

Consecutive even integers are the set of integers such that each integer in the set differs from the previous integer by a difference of 2 and each integer is divisible by 2 . ... If x is an even integer, then x + 2, x + 4, x + 6 and x + 8 are consecutive even integers. Examples: 4, 6, 8, 10, ...

What is consecutive number example?

Numbers that follow each other continuously in the order from smallest to largest are called consecutive numbers. For example: 1, 2, 3, 4, 5, 6, and so on are consecutive numbers.

Maria LaPaige
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Maria LaPaige
Maria is a parenting expert and mother of three. She has written several books on parenting and child development, and has been featured in various parenting magazines. Maria's practical approach to family life has helped many parents navigate the ups and downs of raising children.