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If least prime factor of p is 3 and least prime factor of q is 5,then what is least prime factor of (p+q) ?

Posted by Bhavishya Kumar 6 years, 10 months ago

CBSE > Class 10 > Mathematics

2 answers

Yogita Ingle 6 years, 10 months ago

Since, 3 is the least prime factor of 'p' therefore the number 'q' must be odd (because if the number would have been even, then the least prime factor will definitely be '2')

So, p is odd. Similarly , q is also odd.

Hence p + q is even (that is, a multiple of 2)

Thus the least prime factor of 'p + q' is 2.

1Thank You

Devanshi Pradhan 5 years, 8 months ago

1Thank You

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