Question

sum of exponent of prime factors in prime factorisation of 250

Answer 1

Solution :-

Prime Factorization of 250

______

2 | 250

|_____

5 | 125

|_____

5 | 25

|_____

5 | 5

|_____

| 1

|

Prime factors of 250 = 2 × 5 × 5 × 5

250 = 2¹ × 5³

Sum of the exponents of prime factors in prime factorization of 250 = 1 + 3

= 4

Answer.

Answer 2

250

= 2 × 125

= 2 × 5 × 5 × 5

= ( 2^1 ) × (5^3)

Sum of exponents

= 1 +3

= 4

I hope this answer helps you