Prime Factorization Techniques and Challenges

The video tutorial explains the process of prime factorization, especially when dealing with large numbers. It highlights the challenges students face when numbers involve prime factors greater than 11. The tutorial provides examples of factorizing numbers like 143, 391, 527, 1073, and 943, demonstrating step-by-step methods to identify the prime factors. The video emphasizes understanding prime numbers and their products, offering strategies to simplify the factorization process. It concludes with tips for efficiently factorizing large numbers, useful for competitive exams.

What is a common challenge when performing prime factorization on large numbers?

• Calculating the sum of digits

• Dealing with prime factors greater than 11

• Identifying prime numbers less than 10

• Finding factors of even numbers

Which two prime numbers multiply to give 143?

• 11 and 13

• 3 and 47

• 5 and 29

• 7 and 19

When factorizing 391, which pair of numbers should you consider first?

• Numbers ending in 2 and 8

• Numbers ending in 5 and 9

• Numbers ending in 3 and 7

• Numbers ending in 1 and 1

What is the correct prime factorization of 391?

• 11 and 31

• 23 and 17

• 19 and 21

• 13 and 29

Which numbers should you consider when the unit digit of a number is 7?

• Numbers ending in 2 and 6

• Numbers ending in 3 and 9

• Numbers ending in 1 and 7

• Numbers ending in 5 and 5

What is the prime factorization of 527?

• 31 and 17

• 37 and 13

• 23 and 23

• 29 and 19

When factorizing 1073, which numbers should you consider first?

• Numbers ending in 2 and 8

• Numbers ending in 5 and 9

• Numbers ending in 3 and 7

• Numbers ending in 1 and 3

What is the prime factorization of 1073?

• 37 and 29

• 31 and 23

• 41 and 19

• 47 and 17

Which method is emphasized for factorizing large numbers in competitive exams?

• Trial and error

• Using a calculator

• Divisibility rules

• Memorizing prime numbers

What is the prime factorization of 943?

• 37 and 19

• 47 and 13

• 41 and 23

• 31 and 29