The number of prime numbers lying between 430 and 438, both included, is:

Correct option is B

Given:

Find the number of prime numbers between 430 and 438 (both included).

Concept Used:

A prime number has only two factors: 1 and itself.

Solution:

Check each number:

430 → even → not prime

431 → not divisible by 2,3,5,7,11,13 → prime

432 → even → not prime

433 → not divisible by 2,3,5,7,11,13 → prime

434 → even → not prime

435 → ends in 5 → not prime

436 → even → not prime

437 → 19 × 23 → not prime

438 → even → not prime

Prime numbers in the range = 431, 433

Count = 2