8.
Find all primes of the form n - 1 for natural number 'n'.
(a) Find number of divisors of 210 x 315 x 1513
(b) Number of distinct prime factors of 210 × 315 x 1513
11 and 13 respectively such
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1
Answer:
a)In number theory, the number of distinct prime factors of an integer n is denoted by ω(n). Also,
ω(mn)=ω(m)+ω(n) and for any positive integers n and x, ω(n x )=ω(n)
Now,
ω(2 10
×3 15 ×15 13 )
=ω(2 10 ×3 15 ×3 13 ×5 13 )
=ω(2 10 ×3 28 ×5 13 )
=ω(2 10 )+ω(3 28 )+ω(5 13 )
=ω(2)+ω(3)+ω(5)
=1+1+1
=3
Answered by
2
Answer:
above answer is right .
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