A student use the sieve of Eratosthenes to find all prime numbers less than 100 create a step by step set of directions to show
1 answer:
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Answer:
96 ways
Step-by-step explanation:
Given
Required
Ways to divide it into period of seconds
What this question implies is to determine the total number of factors of 86400
To start with, we determine the prime factorization of 86400
To do this, we continually divide 86400 by 2; when it can not be further divided, we divide by 3, then 7, then 11...
This implies that:
The number of factors d is the solved by:
Where
By comparison:
So:
<em>Hence, there are 96 total ways</em>