Question
Download Solution PDFWhat is the total number of factors of the number 720 except 1 and the number itself?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
A number 720
Formula:
The number of factors of a number can be found using the formula: (a + 1)(b + 1)(c + 1) ..., where a, b, c, ... are the exponents in the prime factorization of the number.
Calculation:
Find the prime factorization of 720
\(720 = 2^4 \times 3^2 \times 5\)
Find the number of divisors of 720
Number of divisors = (4 + 1) (2 + 1)(1 + 1) = 5 × 3 × 2 = 30
Subtract 1 and 720 from the number of divisors
Number of factors of 720 except 1 and 720 itself = 30 - 2 = 28
So, there are 28 factors of 720 except 1 and 720 itself.
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