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'a' and 'b' are two positive integer such that the least prime factor 'a' is 3 and for 'b' is 5 . Then calculate the least prime factor of(a b).?
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Solution:
Given, the least prime factor of 'a' is 3 and that of 'b' is 5.
We know that any number can be expressed as a product of its prime factors.
Therefore,
a = 3 * p1, where p1 is some other prime factor of 'a'.
b = 5 * p2, where p2 is some other prime factor of 'b'.
Hence, ab = (3 * p1) * (5 * p2)
= 15 * p1 * p2
The least prime factor of ab will be the smallest prime factor of 15p1p2.
Now, we know that 15 has prime factors 3 and 5.
Therefore, the prime factors of 15p1p2 will be either 3 or 5 or p1 or p2 or a combination of these.
So, the least prime factor of ab will be either 3 or 5 or p1 or p2.
But we know that the least prime factor of 'a' is 3 and that of 'b' is 5.
Hence, the least prime factor of ab will be 3, which is the answer.
Therefore, the least prime factor of (ab) is 3.
Answer: The least prime factor of (ab) is 3.
Given, the least prime factor of 'a' is 3 and that of 'b' is 5.
We know that any number can be expressed as a product of its prime factors.
Therefore,
a = 3 * p1, where p1 is some other prime factor of 'a'.
b = 5 * p2, where p2 is some other prime factor of 'b'.
Hence, ab = (3 * p1) * (5 * p2)
= 15 * p1 * p2
The least prime factor of ab will be the smallest prime factor of 15p1p2.
Now, we know that 15 has prime factors 3 and 5.
Therefore, the prime factors of 15p1p2 will be either 3 or 5 or p1 or p2 or a combination of these.
So, the least prime factor of ab will be either 3 or 5 or p1 or p2.
But we know that the least prime factor of 'a' is 3 and that of 'b' is 5.
Hence, the least prime factor of ab will be 3, which is the answer.
Therefore, the least prime factor of (ab) is 3.
Answer: The least prime factor of (ab) is 3.
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'a' and 'b' are two positive integer such that the least prime factor 'a' is 3 and for 'b' is 5 . Then calculate the least prime factor of(a b).?
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'a' and 'b' are two positive integer such that the least prime factor 'a' is 3 and for 'b' is 5 . Then calculate the least prime factor of(a b).? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about 'a' and 'b' are two positive integer such that the least prime factor 'a' is 3 and for 'b' is 5 . Then calculate the least prime factor of(a b).? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 'a' and 'b' are two positive integer such that the least prime factor 'a' is 3 and for 'b' is 5 . Then calculate the least prime factor of(a b).?.
'a' and 'b' are two positive integer such that the least prime factor 'a' is 3 and for 'b' is 5 . Then calculate the least prime factor of(a b).? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about 'a' and 'b' are two positive integer such that the least prime factor 'a' is 3 and for 'b' is 5 . Then calculate the least prime factor of(a b).? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 'a' and 'b' are two positive integer such that the least prime factor 'a' is 3 and for 'b' is 5 . Then calculate the least prime factor of(a b).?.
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