What is the prime factorization for 60?

Solution: Since, the prime factors of 60 are 2, 3, 5. Therefore, the product of prime factors = 2 × 3 × 5 = 30.

What are the divisors of 60?

Divisors of numbers

How many factors does 60 have?

The factors of 60 are the numbers that are multiplied in pairs resulting in the number 60. In other words, the numbers that divide 60 exactly are the factors of 60. The number 60 has more than two factors, as it is a composite number. The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30 and 60.

What are the factor pairs of 60?

Hence, the factors of 60 in pairs are (1, 60), (2, 30), (3, 20), (4, 20), (5, 12) and (6, 10).

How do you find the positive divisors of a number?

The most basic method for computing divisors is exhaustive trial division. If we want to find the positive divisors for an integer n, we just take the integers 1, 2, 3, . . . , n, divide n by each, and those that divide evenly make up the set of positive divisors for n.

What is the composite number of 60?

Yes, since 60 has more than two factors i.e. 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60. In other words, 60 is a composite number because 60 has more than 2 factors….Problem Statements:

How many integers are relatively prime to 60?

Erastothenes’s sieve. The number of integers relatively prime to 60 is equal to φ(60)=φ(22)φ(3)φ(5)=16. Here is the list: {1,7,11,13,17,19,23,29,31,37,41,43,47,49,53,59}.

Is 60 prime or composite?

Yes, since 60 has more than two factors i.e. 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60. In other words, 60 is a composite number because 60 has more than 2 factors.

What is the multiple of 60?

The first 6 multiples of 60 are 60, 120, 180, 240, 300, and 360.