Question

3,3 x 5 is the prime factorisation
of​

Answer 1

Solution:-

(3 × 5)^12 × (2 × 7)^10 × (10)^25

= (3)¹² × (5)¹² × (2)¹⁰ × (7)¹⁰ × (2)²⁵ × (5)²⁵

= (3)¹² × (5)¹²⁺²⁵ × (2)¹⁰⁺²⁵ × (7)¹⁰

= (3)¹² × (5)³⁷ × (2)³⁵ × (7)¹⁰

Now, it cannot be further factorised hence this is the prime factorisation of the above number.

So, (3)¹² × (5)³⁷ × (2)³⁵ × (7)¹⁰ has total

12 + 37 + 35 + 10 = 94 prime factors.