4.c Prime Numbers

Question 1

What are the prime numbers between 0-10?

Answer 1

2, 3, 5, 7

Question 2

What are the prime numbers between 10-20?

Answer 2

11, 13, 17, 19

Question 3

What are the prime numbers between 20-30?

Answer 3

23, 29

Question 4

What are the prime numbers between 30-40?

Answer 4

31, 37

Question 5

What are the prime numbers between 40-50?

Answer 5

41, 43, 47

Question 6

What are the prime numbers between 50-60?

Answer 6

53, 59

Question 7

What are the prime numbers between 60-70?

Answer 7

61, 67

Question 8

What are the prime numbers between 70-80?

Answer 8

71, 73, 79

Question 9

What are the prime numbers between 80-90?

Answer 9

83, 89

Question 10

What are the prime numbers between 90-100?

Answer 10

97

Question 11

What are prime numbers?

Answer 11

Only have two factors, 1 and themselves.

Question 12

What is prime factorization?

Answer 12

Breaking down a number and express it as a product of its prime factors

Question 13

What is this called?

Answer 13

Prime Factorization Tree

Question 14

What is the trick to find the number of factors of any number quickly?
(long calculation)

Answer 14

Find all the prime factors for your number (prime factorization tree).

Take the exponents, add 1 to each, and then multiply these exponents together!

Question 15

What is the trick to find the number of ODD factors of any number quickly?
(long calculation)

Answer 15

Almost the same!

Find the prime factorization for your number (prime factorization tree).

If there is a prime factor 2, delete it. The remaining factors, add a 1 to their exponent and multiply.

Question 16

What is the difference between number of prime factors, and number of unique prime factors?

Answer 16

12 = 2 x 2 x 3
Thus, 12 has 3 prime factors
…..and 2 unique prime factors!

Question 17

If some number x has y unique prime factors, then x^n will have the same _______________

Answer 17

If some number x has y unique prime factors, then x^n will have the same y UNIQUE PRIME FACTORS!!!