Table of Contents
- 1 What are the number factors of 17?
- 2 What is the smallest number with exactly 7 factors?
- 3 What is the smallest positive integer with exactly 16 positive factors?
- 4 What is the smallest number that has exactly 12 factors?
- 5 Which is the smallest number with exactly 100 factors?
- 6 What is the number of factors for a number n?
What are the number factors of 17?
The factors of 17 are 1 and 17. This shows that 17 is a prime number because it has no factors other than 1 and itself.
What is the smallest number with exactly 7 factors?
64 is the smallest. It has these 7 factors: 1,2,4,8,16,32, and 64. 12 has 6 factors (1,2,3,4,6 and 12) and 24 has 8 factors (1,2,3,4,6,8,12 and 24) but you have to go all the way to 64 to get exactly 7 factors.
What is the smallest number with exactly 18 factors?
Answer: 180 has exactly 18 factors. They are 1,2,3,4,5,6,9,10,12,15,18,20,30,36,45, 60,90,180.
What is the smallest number with 16 factors?
120
In fact 120 is the smallest number having 16 divisors.
What is the smallest positive integer with exactly 16 positive factors?
The smallest positive integer with 16 divisors is 120.
What is the smallest number that has exactly 12 factors?
This means that 60, 72, and 84 should be the smallest three numbers with 12 factors.
What is the smallest number that has 10 factors?
The required smallest number with 10 different factors is 72.
What is the smallest number with 12 factors?
Which is the smallest number with exactly 100 factors?
Sanika found the smallest number with exactly 100 factors: Prime factorising 100 gives us 2 2 5 5, now we can assign the smallest prime bases to the largest powers, which will give us 2 4 $times3 4 5 7 = 45360. Sanika and Amy both said that the number under 1000 with the most factors is 840 (32 factors). This is Amy’s work:
What is the number of factors for a number n?
For a number n, (n is a positive integer) , the number of factors it has is the product of the exponents of n’s prime factorization + 1. For example, 25. 25 can be written as 5^2. The number of factors is (2+1) = 3. This is true, since the factors of 25 are 1, 5, and 25.
Which is the smallest number with 16 divisors?
The smallest number with 16 divisors is thus 120. Say a number, x = A a B b C c… N n So, the number is 120. Become an expert in Kotlin while creating applications. Get a feel for the basics of Kotlin at no charge or master your existing skills with JetBrains Academy.
Which is the number with the most factors under 1000?
This holds true for all other perfect squares. Prime factorising 100 gives us 2 2 5 5, now we can assign the smallest prime bases to the largest powers, which will give us 2 4 $ imes3 4 5 7 = 45360. Sanika and Amy both said that the number under 1000 with the most factors is 840 (32 factors).
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