Prime Factorizing

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What is prime factorization?

Prime factorization is the process of expressing a number as the product of its prime factors.

What are prime numbers?

Prime numbers are natural numbers greater than 1 that have no divisors other than 1 and themselves.

How do you perform prime factorization on the number 60?

The prime factorization of 60 is 2 x 2 x 3 x 5.

What is the prime factorization of 90?

The prime factorization of 90 is 2 x 3 x 3 x 5.

What is the smallest prime number?

The smallest prime number is 2.

Is the number 1 considered a prime number?

No, 1 is not considered a prime number because it only has one positive divisor, itself.

Why is the number 2 unique among prime numbers?

The number 2 is unique among prime numbers because it is the only even prime number.

What is the prime factorization of 84?

The prime factorization of 84 is 2 x 2 x 3 x 7.

How can prime factorization be useful?

Prime factorization is useful for simplifying fractions, finding greatest common divisors, and solving various mathematical problems.

What is the prime factorization of the number 50?

The prime factorization of 50 is 2 x 5 x 5.

What method can be used to find prime factors systematically?

The division method involves dividing by the smallest prime number repeatedly until you reach the quotient of 1.

Is the number 11 a prime number?

Yes, 11 is a prime number because its only divisors are 1 and 11 itself.

Can the prime factorization of a number include non-prime numbers?

No, the prime factorization of a number only includes prime numbers.

What is the prime factorization of the number 28?

The prime factorization of 28 is 2 x 2 x 7.

Why can't the number 4 be a prime number?

The number 4 is not prime because it can be divided evenly by 1, 2, and 4, making it have more than two divisors.




Test Your Knowledge

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1. What method can be used to find prime factors systematically?

The division method involves dividing by the smallest prime number repeatedly until you reach the quotient of 1.

Using square root method.

Applying only odd numbers for division.

Using multiplication for recognition of primes.

2. What is the prime factorization of the number 28?

The prime factorization of 28 is 2 x 2 x 7.

The prime factorization of 28 is 2 x 3 x 5.

The prime factorization of 28 is 2 x 2 x 2.

The prime factorization of 28 is 3 x 3 x 7.

3. What is the smallest prime number?

The smallest prime number is 2.

The smallest prime number is 1.

The smallest prime number is 0.

The smallest prime number is 3.

4. Why is the number 2 unique among prime numbers?

The number 2 is unique among prime numbers because it is the only even prime number.

The number 2 is unique because it is the highest prime number.

The number 2 is unique because it is the only odd prime number.

The number 2 is unique because it is a composite number.

5. What is prime factorization?

Prime factorization is the process of expressing a number as the product of its prime factors.

Prime factorization is the process of expressing a number as a sum of prime numbers.

Prime factorization is the method of dividing a number by consecutive even numbers.

Prime factorization is when a number is expressed as the difference of its factors.

6. Is the number 1 considered a prime number?

No, 1 is not considered a prime number because it only has one positive divisor, itself.

Yes, 1 is a prime number.

No, 1 is not a prime number because it is an odd number.

No, 1 is a composite number.