How many factors of 344 are divisible by 4?
Explanation:
344 = 23 × 43
For a factor to be divisible by 4 (= 22), the minimum power of 2 in it should be 2.
∴ Possible powers of 2 in the factor = 2 or 3, i.e., 2 possibilities.
Their is no restriction on powers of other prime numbers
∴ Possible powers of 43 = 0 or 1, i.e., 2 possibilities.
Total number of such factors = 2 × 2 = 4.
Hence, 4.
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