So, 5040 is the smallest positive integer with 60 distinct factors. Note that this will include 5040 as one of the factors. If you only want proper divisors, then simply add 1 to n before getting started.
Which number has the least number of factors?
So, no, the minimum number of factors a number can have is 1, not 2. And, yes, you can tell if a number is prime, composite or equal to 1 by counting the factors. Note: 0 is considered a composite number with an infinite number of factors because 0∗k=0 for all k.
What are the factor tree of 60?
Answer: The two different factor trees of 60 show the same prime factors of 60 which are 2, 2, 3, and 5. We can express 60 as the product of two numbers but its prime factorization will always remain the same. Explanation: Prime factorization of a composite number is always unique.
Which list shows all 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).
What is the smallest number with 20 divisors?
In the first case, the exponent is 19, so the smallest number with 20 divisors with only one prime factor (which is chosen to be 2 in order to produce the smallest number) is \(2^{19}\).
How many divisors does 240 have?
20 divisors
240 is: a semiperfect number. a concatenation of two of its proper divisors. a highly composite number since it has 20 divisors total (1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, and 240), more than any previous number.
What is the 14th multiple of 5?
First five multiples of 14: 14, 28, 42, 56 and 70….Multiples of 14.
| 1. | What Are the Multiples of 14? |
|---|---|
| 3. | Important Notes |
| 4. | Thinking Out of the Box! |
| 5. | FAQs on Multiples of 14 |
What is a prime factorization of 60?
Use a factor tree to express 60 as a product of prime factors. So the prime factorization of 60 is 2 × 2 × 3 × 5, which can be written as 2 2 × 3 × 5.
What are the missing factors in the factor tree for 60?
Q2) Here are two different factor trees for 60. Write the missing numbers. hence, the missing numbers are 3,2. hence, the missing numbers are 5,2,3.
What are the factors of the number 60?
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.
How to find the factor pairs of 60?
We can find the factor in pairs, by multiplying two numbers in a combination to get the result as 60. Let’s get started to find the factor pairs of 60. Therefore, the factors pairs of 60 are (1, 60), (2, 30), (3, 20), (4, 20), (5, 12) and (6, 10).
Where do you put 60 in a factor list?
(i) 60 ÷ 1 = 60, So put them in your factor list. (ii) 60 ÷ 2 = 30 gives remainder 0 and so are divisible by 30. So put them in your factor list.
What is 60 as a product of its prime factors?
So the HCF of 60 and 72 is 2 × 2 × 3 which is 12. So the LCM of 60 and 72 is 2 × 2 × 2 × 3 × 3 × 5 which is 360. What is 50 as a product of its prime factors? What is 70 as a product of its prime factors?
