- #1
Kartik.
- 55
- 1
We want to know how many zeros appear at the end of the number 'N' = 1962!
In the solution of it,
We break the number N in a prime numbers notation and which looks like N = 2^a1 x 3^a2 x 5^a3...p^a(n), so as the question the asks about the zeros in the the product we are concerned about the numbers a1 and a3, as for now because they yield a zero and also about those factors of N which will yield them too.To determine a3, we take that every factor of N divisible by 5 will yield one 5 and so the number of such factors will be 1962/5(and that is my question?) .
What exactly will the 1962/5 provide us with?
In the solution of it,
We break the number N in a prime numbers notation and which looks like N = 2^a1 x 3^a2 x 5^a3...p^a(n), so as the question the asks about the zeros in the the product we are concerned about the numbers a1 and a3, as for now because they yield a zero and also about those factors of N which will yield them too.To determine a3, we take that every factor of N divisible by 5 will yield one 5 and so the number of such factors will be 1962/5(and that is my question?) .
What exactly will the 1962/5 provide us with?