Question

A number which has only 2 factors, 1 and itself is called a prime number. How many factors of 666 are prime?

Answer 1

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We are given the numbers which have only two factors, 1 and the number itself.

We know that a composite number is a positive integer that can be formed by multiplying two smaller positive integers.

Let us choose a composite number randomly.

Take a composite number 18.

Finding the prime factorization of this composite number, we get

→ 18=2×3×3

Since it has more than two factors other than 1, so the composite number is not the correct answer.

We also know that an even number is an integer, which is divisible by two.

Let us now choose an even number randomly.

Take an even number 10.

Finding the prime factorization of this even number, we get

→ 10=2×5

Since it has more than two factors other than 1, so the even number is not the correct answer.

We know that a prime number is a number, which is only divisible by itself and 1.

Let us choose a prime number randomly.

Take a prime number 5.

Finding the prime factorization of this prime number, we get

→ 5=1×5

Since it has only two factors, the number 1 and itself, we can take any prime number to see that a prime number is a number, which is only divisible by itself and 1, the prime number is a correct option.

Therefore, the numbers that have only two factors (1 and the number itself) are called prime.

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