The prime factorisation of 3825 is
(a) `3\times 5^{2}\times21`
(b) `3^{2}\times 5^{2}\times35`
(c) `3^{2}\times 5^{2}\times3517`
(d) `3^{2} 25 \times3517`
(b) `3^{2}\times 5^{2}\times35`
(c) `3^{2}\times 5^{2}\times3517`
(d) `3^{2} 25 \times3517`
(c) `3^{2}\times 5^{2}\times3517`
Explanation:
3825 = 3 `\times`3 `\times`5 `\times`5 `\times`17 `\times`1
= `3^{2}\times 5^{2}\times 17`
So, the Correct answer is option is (c) `3^{2}\times 5^{2}\times3517`
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