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Question 11 How many three-digit prime numbers can you make using each of 2, 4 and 5 once?All possible 3 digit numbers using 2, 4 and 5 once are Ending with 2 – 452, 542 Ending with 4 – 254, 524 Ending with 5 – 245, 425 Now, we note that Numbers ending with 2 and 4 are divisible by 2 Numbers ending with 5 are divisible by 5 Thus, all of these numbers have either 2 or 5 as a factor, which means it has more than 2 factors.. ∴ There is 0 three-digit prime numbers that can be made.

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 15 years. He provides courses for Maths, Science and Computer Science at Teachoo