Amazing Shapes using Factorial Digits

GUPTA, SHYAM SUNDER (2023) Amazing Shapes using Factorial Digits. At Right Angles. pp. 25-30. ISSN 2582-1873

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The factorial of a natural number n is the product of the positive integers less than or equal to n. It is written as n! and pronounced ‘n factorial’. The first few factorials for n = 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10... are 1, 1, 2, 6, 24, 120, 720, 5040, 40320, 362880, 3628800... etc. n! gives the number of ways in which n objects can be permuted. The special case 0! is defined to have value 0! = 1. The number of digits in factorials grows very fast. For example, 6! (i.e., 720) consists of 3 digits, but the number of digits grows to 23 for 23! i.e., 25852016738884976640000. Interestingly, the digits of factorials can be represented in many amazing shapes such as triangle, rhombus, hexagon, etc., but for this, it is necessary that the number of digits in n! must be such that it can represent that shape. In this paper, you can find as to how the factorials with required number of digits for the desired shape can be obtained.

Item Type: Articles in APF Magazines
Document Language:
Uncontrolled Keywords: Factorial, number of digits, logarithms, floor function, geometrical shapes, special numbers
Subjects: Natural Sciences > Mathematics
Divisions: Azim Premji University > University Publications > At Right Angles
Full Text Status: Public
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