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 option gives the correct value of (2^6\times3^4\times11^2)?Which option gives the correct value of (2^4\times3^3\times5^2\times7^2)?Which option gives only the final prime factorisation?Which option has incomplete prime factorisation?If (2^4\times3^5\times5^2\times7) is the prime factorisation of a number, what is the number?If (2^3\times3^3\times5^2\times7\times11) is the prime factorisation of a number, what is the number?What is the correct prime factorisation of 582120?Which is the prime factorisation of 254016?What is the correct prime factorisation of 2138400?Why will (64\times3969) not be considered the final answer in prime factorisation?How many positive factors does the number (2^3 \times 3^2 \times 5) have?If (N=2^4 \times 3^3 \times 7), what is the smallest prime factor of (N)?Which number has the prime factorisation (2^2 \times 3 \times 5^2)?If (a=2^3 \times 3^2) and (b=2^2 \times 3^4), what will be the exponent of (3) in the HCF of (a) and (b)?If (x=2^5 \times 5^2) and (y=2^2 \times 5^4), what will be the exponent of (5) in the LCM of (x) and (y)?Which is the correct prime factorisation of (360)?If (2^a \times 3^2=72), what is the value of (a)?If (N=2^2 \times 3^3 \times 5), how many distinct prime factors does (N) have?Which number is not completely divisible by (2^4 \times 3 \times 7)?If (N=2^3 \times 3 \times 11), what is the value of (N)?