What 4 natural numbers have exactly 3 factors?

In fact, 9 does have exactly three factors: 1, 3, and 9. And 4 also has exactly three factors: 1, 2, and 4.

When a number has an odd number of factors it is a?

Square numbers
Square numbers have an odd numbers of factors. Examples: 1, 4, 9, 16, 25, 36, … If you multiply a whole number by itself you will get a square number.

Does the number 4 have 4 factors?

1 and 4 are always the factors of the number 4. To find the other factors of the number 4, we first find its prime factorization. The multiplicands of the prime factorization are the prime factors of the number 4.

What does it mean if a number has 4 factors?

If number is a product of exactly two prime numbers(say p, q). Thus we can assure that it will have four factors i.e, 1, p, q, n. For example, let’s say n = 8, cube root = 2 that means ‘8’ can be written as 2*2*2 hence four factors are:- 1, 2, 4 and 8.

What numbers has exactly 3 factors?

We know that the numbers between 1 and 100 which have exactly three factors are 4, 9, 25 and 49. Factors of 4 are 1, 2 and 4. Factors of 9 are 1, 3 and 9.

Which numbers will have exactly 3 factors?

As it turns out, the only positive integers with exactly three factors are the squares of primes. For instance, the factors of 9 are 1, 3, and 9, and the factors of 49 are 1, 7, and 49.

Why do square numbers have odd factors?

Therefore, the factors are 1, 2, 3, 4, 6, 9, 12, 18, and 36. Here, there is an odd number of factors because the square root of the perfect square (in this case 6) does not have a pair. Therefore, perfect squares have an odd number of factors because the square root of the perfect square does not have a pair.

How many factors does 3 have?

As 3 only have two factors, it is a prime number.

Which is the smallest 2 digit number having exactly four factors?

Step-by-step explanation: 6 is the smallest number that have 4 factors.

Why is 4 a composite number?

In math, composite numbers can be defined as the whole numbers that have more than two factors. Whole numbers that are not prime are composite numbers, because they are divisible by more than two numbers. For example, 4, 6, 8, 9 and 10 are the first few composite numbers.

How can a natural number have exactly four factors?

A natural number will have exactly four factors if it satisfies the following conditions: i)Any product of 2 prime numbers will have 4 factors. ii) Any prime number to the 3rd power will have 4 factors. Let us take the number to be N. Let the two prime numbers be p and q. So, there are 14 values that q can possibly have.

How do you find 4 factors between 1 and 100?

If we follow this formula, there are two ways to get 4 factors: A number with prime factorization of the form p 1 ∗ p 2 or a number with prime factorization of the form p 1 3. So if we figure out how many of each there are between 1 and 100 and add them, we’ll have the answer.

How many prime numbers have exactly 4 factors?

So, any number which is a product of 2 distinct prime numbers has exactly 4 factors. Every number (except 1) has a minimum of 2 factors i.e 1 and the number itself. This means that we are looking for a number x that can be written as,

What number has an odd number of perfect squares?

For example, 9 has odd number of factors, 1, 3 and 9. 16 also has odd number of factors, 1, 2, 4, 8, 16. The reason for this is, for numbers other than perfect squares, all factors are in the form of pairs, but for perfect squares, one factor is single and makes the total as odd. How to find number of perfect squares in a range?