Question

each prime factors appears______ times in its cube ?
(a)2
(b)3
(c)1
(d)4​

Answer 1

Answer:

b) 3.

Step-by-step explanation:

Answer 2

Each prime factor appears (b) 3 times in its cube.

Step-by-step explanation:

• When we do prime factorization of any even number, we get two or more prime numbers. Of them there can be a single prime number one or more times. Take for an example, 6 = 2 × 3 (2, 3 appear one time only), 8 = 2 × 2 × 2 (2 appears three times), etc.

• Now when we do cube of any even number, we also find the cube value of each of its prime factors, including the prime numbers appearing several times.

• Let us understand it with an example. If we take the number 4 (= 2 × 2) and find its cube, we get 4³ (= 2³ × 2³), and we see that its factors also get a cube power.