Question

Write the smallest 4-digit number and express it in the form of its prime factors.
Write the greatest 4-digit number and express it in terms of its prime factors.
Which factors are not included in the prime factorisation of a composite number?
Find the smallest number having four different prime factors.​

Answer 1

Prime factorization – It is a method to find the prime factors of a given number, say a composite number. These factors are nothing but the prime numbers. A prime number is a number which has only two factors, i.e. 1 and the number itself.

Prime Factors – It is a factor which is a prime number and not a composite number is a prime factor.

Prime factors of 9999

The greatest 4-digit number 9999 can be expressed in terms of prime factor as

9999 = 3 × 3 × 11 × 101

9999 = 32 × 11 × 101

Therefore, 9999 is the largest 4-digit number and can be expressed as 3 × 3 × 11 × 101.

Answer 2

Answer:

(i) 1000 = 2×2×2×5×5×5

(ii) 9999 = 3×3×11×101

(iii) 21 = 3×7

(iv) 210 = 2×3×5×7

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