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
If (N=2^4\times3^2\times5^3), how many factors of (N) are divisible by (25)?If (N=2^5\times3^3\times5^2), how many factors of (N) are divisible by (12)?If (2^2\times3^3\times5^2) divided by (2^a\times3^b\times5^c) gives (3^2\times5), what is ((a,b,c))?If a number has prime factors (2,3,5) and total factors (60), which prime form is possible?If (N=2^3\times3^4\times5), how many factors of (N) are divisible by (9) but not by (5)?If (N=2^6\times3^2\times7^2), how many factors (d) are there such that (d^2) also divides (N)?If (N=2^5\times3^4\times5^3), how many factors (d) are there such that (d^3) divides (N)?If (N=2^4\times3^3\times5^2), how many factors of (N) are divisible by neither (2) nor (3)?If (A=2^3\times3^5) and (B=2^5\times3^2), how many factors does the HCF of (A) and (B) have?If (A=2^2\times5^3) and (B=2^4\times3^2\times5), how many factors will the LCM of (A) and (B) have?Why is it necessary to remove a composite base in the final prime factorisation?What is the correct prime factorisation of 14256?Which is the prime factorisation of 18144?What is the correct prime factorisation of 24200?Which is the prime factorisation of 25410?What is the correct prime factorisation of 27216?Which is the prime factorisation of 30240?What is the correct prime factorisation of 36300?Which is the prime factorisation of 38115?What is the correct prime factorisation of 43200?