Question

Сколько натуральных делителей у числа 174960

Answer 1

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 36, 40, 45, 48, 54,60, 72, 80, 81, 90, 108, 120, 135, 144, 162, 180, 216, 240, 243, 270,324, 360, 405, 432, 486, 540, 648, 720, 729, 810, 972, 1080, 1215,1296, 1458, 1620, 1944, 2160, 2187, 2430, 2916, 3240, 3645, 3888,4374, 4860, 5832, 6480, 7290, 8748, 9720, 10935, 11664, 14580,17496, 19440, 21870, 29160, 34992, 43740, 58320, 87480, 174960

Answer 2

Number of Natural Divisors of 174960

The number of natural divisors of a given number can be determined by factoring the number into its prime factors and then using the exponents of these prime factors to calculate the total number of divisors.

Step 1: Prime Factorization of 174960 The prime factorization of 174960 is calculated as follows: 174960 = 2^5 * 3^3 * 5 * 7^2

Step 2: Calculation of Number of Divisors The number of divisors of 174960 can be calculated using the formula: Number of divisors = (5+1) * (3+1) * (1+1) * (2+1) = 6 * 4 * 2 * 3 = 144

Therefore, the number 174960 has 144 natural divisors.