Question:

State whether the following statements are True or False:
  1. The sum of three odd numbers is even.
  2. The sum of two odd numbers and one even number is even.
  3. The product of three odd numbers is odd.
  4. If an even number is divided by 2, the quotient is always odd.
  5. All prime numbers are odd.
  6. Prime numbers do not have any factors.
  7. Sum of two prime numbers is always even.
  8. 2 is the only even prime number.
  9. All even numbers are composite numbers.
  10. The product of two even numbers is always even.

Updated On: Dec 8, 2023
Hide Solution
collegedunia
Verified By Collegedunia

Solution and Explanation

(a) False
(b) True
(c) True
(d) False
(e) False
(f) False
(g) False
(h) True
(i) False
(j) True

Was this answer helpful?
0
0

Top Questions on Prime and Composite Numbers

View More Questions

Questions Asked in CBSE Class VI exam

View More Questions

Concepts Used:

Highest Common Factor - Playing With Numbers

The highest common factor (HCF) is the largest number that divides two or more given numbers without leaving a remainder. It is also known as the greatest common divisor (GCD). To find the HCF of two or more numbers, we need to factorize each number into its prime factors and then identify the common factors. The HCF is then obtained by multiplying the common factors.

For example, to find the HCF of 12 and 18, we first factorize the numbers into their prime factors: 12 = 2 × 2 × 3 and 18 = 2 × 3 × 3. The common factors are 2 and 3, so the HCF is 2 × 3 = 6.

The concept of HCF is often used in various mathematical applications, such as simplifying fractions and finding equivalent fractions. For example, to simplify the fraction 24/36, we can find the HCF of 24 and 36, which is 12. We can then divide both the numerator and denominator of the fraction by 12 to get the simplified form, which is 2/3.

HCF is also used in solving problems related to ratios and proportions. For instance, in a group of 60 students, 24 are boys and the rest are girls. What is the maximum number of equal groups that can be formed with these students? To solve this, we first find the HCF of 24 and 36 (the number of girls). The HCF is 12, which means that we can form a maximum of 5 groups of 12 students each, with 4 boys and 8 girls in each group.

Overall, understanding the concept of HCF and how to find it is important in many mathematical applications, especially in solving problems related to fractions, ratios, and proportions.