I am the smallest number, having four different prime factors. Can you find me? (2024)

FAQs

I am the smallest number, having four different prime factors. Can you find me? ›

Can you find me? Summary: 210 is the smallest number, having four different prime factors i.e., 2 × 3 × 5 × 7.

The first four prime numbers are 2, 3, 5, and 7. The required number will be the product of these numbers. 2 × 3 × 5 × 7 = 210. So, 210 is the smallest number having four different prime factors.

The smallest number having four factors is 12, because 1,2,3 and 4 are all factors of it.

210 has four different prime factors.

1009 is the smallest 4-digit prime.

The prime numbers from 1 to 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

So the smallest natural number with four different prime factors is 210 (2*3*5*7).

The first few prime numbers are 2, 3, 5, 7, 11, 13, 17, 19 and so on. These prime numbers when multiplied with any natural numbers produce composite numbers.

However, every number that is a square of a prime p will have exactly three factors: 1, p, and p². Some examples of numbers with exactly four factors are 6, 15, and 21. For 6, the factors are 1, 2, 3, and 6, and for 15, the factors are 1, 3, 5, and 15. Similarly, for 21, the factors are 1, 3, 7, and 21.

What are the Prime Factors of 120? The prime factors of 120 are 2, 3, and 5. The prime factors of a number are those factors that are prime numbers. In this case, if we do the prime factorization of 120, we get 2 × 2 × 2 × 3 × 5 = 2³ × 3 × 5, where 2, 3, and 5 are prime numbers and the prime factors of 120.

How do you find a 4 digit prime number? ›

To find whether a larger number is prime or not, add all the digits in a number, if the sum is divisible by 3 it is not a prime number. Except 2 and 3, all the other prime numbers can be expressed in the general form as 6n + 1 or 6n - 1, where n is the natural number.

The smallest 4-digit number in the number system is 1000 since, in such a case that 1 is subtracted from the number it becomes a 3-digit number which is 999 (greatest three-digit number). So, we 1000 is the smallest 4-digit number in the number system. So, 1000 is the smallest four-digit number.

A prime number must have exactly two factors (1 and the number itself). Therefore, the number 2 is the lowest prime number as its only factors are 1 and 2.

2 is the smallest prime number. It also the only even prime number – all other even numbers can be divided by themselves, 1 and 2 at least, meaning they will have at least 3 factors.

The smallest prime number which is even is 2.

Hence, 1024 is the smallest four-digit number which is a perfect square.