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Numerical Analysis explanation of one of the possible reasons for Allah's requirement of Muslim pilgrims to circumambulate the Kaba in Mecca 7 times The Source of this article is Ali Adams. His web site is: www.heliwave.com
* means
multiply or times
/ means divide
by
Any number N is multiplication of prime numbers in one way only.
Example:
12 = 3 * 4 but 4 can still be divided further
12 = 3 * 2 * 2 and as we cannot divide the 2 or 3 any further,
therefore 12 is made from one 3 and two 2s.
these are its prime factors or divisors, or its genes.
ALSO
12 = 2 * 6 but 6 can still be divided further
12 = 2 * 2 * 3 and as we cannot divide the 2 or 3 any further,
therefore 12 is made from two 2s and one 3.
these are its prime factors or divisors, or its genes.
Since order in multiplication is not important, therefore:
12 = 2 * 2 * 3 and no other prime number is needed at all.
Think of a prime number an number that cannot be divided any further:
The first few primes are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, ...
Numbers that can be divided further are called composites (composed from
multiplying prime numbers):
The first few composite are: 4, 6, 8, 9, 10, 12, 14, 15, ...
Imam Ali (as), the Commander of the faithfuls
was asked:
"What
number can be divided by all numbers from 1 to 10?"
He (as) immediately replied:
"Take the number of days in a
week and multiply it
by the number of days in a month
and then multiply it
by the number of months in a
year, and you will get your answer."
N = days per week * days per month * months per year
N = 7 * 30 * 12
N = 7 * 360 degrees?
N = 7 complete circles?
Could
this be a hint for why God Al-knowing wants us to circulate Al-Kaa'ba 7 times
or 7 * 360 degrees to complete a perfect divisibility by all numbers from 1 to
10?
Here is how N can be divided by all numbers from 1 to 10:
N = 7 * 30 * 12
N = 7 * 2 * 3 * 5 * 2 * 2 * 3
Re-arranging all N prime factors (three 2s, two 3s, one 5, and one 7):
N = 2 * 2 * 2 * 3 * 3 * 5 * 7
N is divisible by
1 because every number is divisible by 1
2 because part of its prime factors is 2
3 because part of its prime factors is 3
4 because part of its prime factors is 2 * 2
5 because part of its prime factors is 5
6 because part of its prime factors is 2 * 3
7 because part of its prime factors is 7
8 because part of its prime factors is 2 * 2 * 2
9 because part of its prime factors is 2 * 2
10 because part of its prime factors is 2 * 5
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