If a number has prime factorisation (3^2 \times 5^3), by which number must it be divisible?
Answer and explanation
Correct answer: (45)
Step 1: A divisor must not require prime exponents higher than those available. Step 2: (45=3^2 \times 5), which is fully contained in (3^2 \times 5^3). Step 3: Compare exponents to test divisibility.
Frequently asked questions
What is the correct answer to this question?
(45)
Why is this the correct answer?
Step 1: A divisor must not require prime exponents higher than those available. Step 2: (45=3^2 \times 5), which is fully contained in (3^2 \times 5^3). Step 3: Compare exponents to test divisibility.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: Prime Factorisation.