1. If 247xy is divisible by 3,7 and 11. Then find the value of x − =?
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Answer:
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Explanation:
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Concept:
Prime factorisation is a method to find the prime factors of a given number, say a composite number. These factors are nothing but the prime numbers. A prime number is a number which has only two factors, i.e. 1 and the number itself.
For example, 2 is a prime number which has two factors, 2 × 1. Whereas a composite number has more than two factors present in it. For example, 4 has three factors such as 1 × 2 × 2.
Given:
247xy is divisible by 3,7 and 11
Find:
Find the value of x
Solution:
Factorisation of 247 = 13 x 19
So, 247xy=13 x 19 xy
But 247xy is divisible by 3, 7 and 11
So, x could be either 3,7,11,21,77,33 or be a multiple of 3,7,11,21,77,33
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