The distinct prime factors of a number are just the unique prime factors, without any repeats. The distinct prime factors of 12 are 2 and 3. The factors of a number don’t have to be prime at all!

1 Answer. A pair of distinct prime numbers are primes p,q such that p≠q. Multiplying two distinct prime numbers pq together gives a composite number whose prime factorization consists only of two primes. This composite number is divisible by 1,p,q,and pq.

When n is a prime number, the prime factorization is just n itself, written in bold below. The number 1 is called a unit. It has no prime factors and is neither prime nor composite.

Is there any formula to find the number of distinct prime factors of a number? Any composite number can be expressed as a product of two or more prime numbers. The number of distinct prime factors is 3.

Q: What is the prime factorization of the number 21,952?

• The prime factors are: 2 x 2 x 2 x 2 x 2 x 2 x 7 x 7 x 7. or also written as { 2, 2, 2, 2, 2, 2, 7, 7, 7 }
• Written in exponential form: 26 x 73

The Prime Factorization of 120 is 23 × 3 × 5.

• Factors of 120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60 and 120.
• Negative Factors of 120: -1, -2, -3, -4, -5, -6, -8, -10, -12, -15, -20, -24, -30, -40, -60 and -120.
• Prime Factors of 120: 2, 3, 5.
• Prime Factorization of 120: 2 × 2 × 2 × 3 × 5 = 23 × 3 × 5.

1728 is not a perfect square.

Why is 1,728 not a perfect square? Step 1: Answer: YES, 8 is in the list of numbers that are never perfect squares. The number 1,728 is NOT a perfect square and we can stop here as there is not need to complete the rest of the steps.

864 is not a perfect square.

We can express the square root of 864 in its lowest radical form as 12 √6….Square Root of 864.

No, 111 is not a prime number. The number 111 is divisible by 1, 3, 37, 111. For a number to be classified as a prime number, it should have exactly two factors. Since 111 has more than two factors, i.e. 1, 3, 37, 111, it is not a prime number.

Is 111 a perfect square number? A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 111 is about 10.536. Thus, the square root of 111 is not an integer, and therefore 111 is not a square number.