Test: Factors and Multiples - Class 5 MCQ

A prime number is defined as a number greater than 1 that has no positive divisors other than 1 and itself. The number 7 only has two factors: 1 and 7, making it a prime number.

While multiples can include zero, they are typically positive integers when discussing positive multiples. Negative multiples are not commonly referred to in this context.

The smallest factor of any number is always 1, as every integer is divisible by 1.

The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24. The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48. The greatest common factor is 24.

A factor of a number is defined as a number that divides another number completely without leaving a remainder. For example, factors of 36 include 1, 2, 3, 4, 6, etc., as they can divide 36 evenly.

A composite number is a number that has more than two factors. The number 4 has factors of 1, 2, and 4, making it composite.

The common division method involves writing the numbers in a row and dividing them by the smallest common prime factor until no common factors remain.

The product of the two numbers equals the product of their highest common factor (HCF) and least common multiple (LCM), illustrating a significant relationship in number theory.

Even numbers are defined as multiples of 2 and thus are always divisible by 2. Examples include 0, 2, 4, 6, etc.

The multiples of 5 are 5, 10, 15, 20, etc., and the multiples of 10 are 10, 20, etc. The first common multiple is 10.

Twin primes are pairs of prime numbers that have a difference of 2. The pair (5, 7) fits this definition since 7 - 5 = 2.

A perfect number equals the sum of its factors excluding itself. For 6, the factors are 1, 2, and 3, which add up to 6. Thus, 6 is a perfect number.

The prime factorization of 236 is 2 × 2 × 59, which includes two prime factors: 2 and 59. Therefore, it has 2 distinct prime factors.

A number that is divisible by both 3 and 4 is also divisible by their least common multiple, which is 12.

Co-prime numbers are defined as having no common factors other than 1. This means that they do not share any prime factors.

The factors of 28 are 1, 2, 4, 7, and 14; the factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72. The common factors are 1, 2, and 4, with the greatest being 4.

A common multiple of two numbers is a number that is a multiple of both. The first common multiple of 3 and 6 is 6 itself.

The numbers 15 and 28 share no common factors other than 1, making them co-prime. The other pairs share factors greater than 1.

The multiples of 18 are 18, 36, 54, 72, etc., and the multiples of 36 are 36, 72, etc. The smallest common multiple is 36.