Mathematics
Prime Factorisation
अभाज्य गुणनखंडन
In Class 10 Mathematics, under the Real Numbers chapter, Prime Factorisation teaches students to express a composite number as a product of prime numbers. Students practise identifying prime factors and writing factorisations using multiplication and exponents. This foundational skill supports the Fundamental Theorem of Arithmetic and later work with HCF and LCM.
Practice questions
Which number has exponent (4) of (2) and exponent (2) of (5) in its prime factorisation, but does not have (3) as a factor?What is the exponent of (7) in the prime factorisation of (840)?If a number has prime factorisation (3^2 \times 5^3), by which number must it be divisible?How many factors of (2^3 \times 3^2 \times 5^2) are perfect squares?Choose the correct prime factorisation of (540).If (m=2^2 \times 3 \times 13), what is (m) equal to?If (N=2^6 \times 3^2), by the least number should (N) be multiplied to make it a perfect cube?If (N=2^5 \times 7^2), by the least number should (N) be multiplied to make it a perfect square?What will be the last non-zero digit of the number (2^4 \times 3^2 \times 5)?If a number has prime factorisation (2^3 \times 3^2 \times 5), how many trailing zeros will it have?Which prime factor is not included in the prime factorisation of (1260)?What is the prime factorisation of (900)?If (N=2^2 \times 3^2 \times 5^2), what type of number is (N)?If (N=2^3 \times 3^3 \times 5^3), what type of number is (N)?In the prime factorisation of (144), what is the sum of the exponents of (2) and (3)?Which prime factorisation represents an even number?Which prime factorisation represents an odd number?If (n=2^3 \times 3^4), what is the total frequency of prime factors in (n)?What is the exponent of (2) in the prime factorisation of (1080)?If (p) and (q) are distinct prime numbers, what is the total number of factors of (p^2q^3)?