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Proof by mathematical induction

for N=2700 ...

Question

for N=2700 1find the total number of divisors 2 find the number of divisor divisible 15 but not by 4 3 find the sum of divisors 4 find the sum of even divisor

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Q. If n = 10800,
(a) Find total number of divisor of n.
(b) The number of even divisor.
(c) Find the number of divisor of the form 4m + 2.
(d) Find the number of divisor which are multiple of 15.

Q. Consider the number

N = 2910600

. Total number of divisors of N, which are divisible by

15

36

Q. The number of divisors of

N = 2^{7} . 3^{3} . 5^{4}

divisible by 6 but not by 15 is

Q. Total number of even divisors of

2079000

which are divisible by

15

Q. Total number of even divisors of

189000

that are divisible by

15

λ

\frac{λ}{9}

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Proof by mathematical induction

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