Question

Find The Number Of Divisors Of 1728

Answer 1

Answer:

(6+1) × (3+1) =7×4=28 the divisor of 1728

Answer 2

The Number of Divisors of 1728 = 28

Given:

Number 1728

To find:

Find the number of Divisors of 1728

Solution:

Divisors

  A number which divides the given number completely is said to be a divisor of given number

Note:

Let N is a positive number and N = pᵃ × qᵇ × rⁿ..

where p, q, r are prime factors of N

then, number of divisors of N = (a+1) × (b+1) × (c+1)  

To find the number of Divisors of 1728, write it as product of prime numbers

1728 = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 = 2⁶ × 3³

number of divisors of 1728 = (6+1) × (3+1) = 7 (4) = 28

The Number of Divisors of 1728 = 28

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