Factors and Prime Factorization of 105 and 106

The video tutorial explains the factors and prime factorization of the numbers 105 and 106. It begins by identifying both numbers as composite and proceeds to break down their factors. For 105, the factors are listed, and a factor tree is used to identify the prime factors as 3, 5, and 7. For 106, the factors are identified, and the prime factors are determined to be 2 and 53. The video concludes with a call to subscribe to the channel for more math and science content.

What type of numbers are 105 and 106?

• Prime numbers

• Composite numbers

• Even numbers

• Odd numbers

Which of the following is a factor pair of 105?

• 6 and 17

• 4 and 26

• 3 and 35

• 2 and 53

What is the correct list of factors for 105?

• 1, 3, 5, 7, 15, 21, 35, 105

• 1, 2, 3, 5, 7, 15, 21, 35, 105

• 1, 3, 5, 7, 15, 20, 35, 105

• 1, 3, 5, 7, 15, 21, 35, 106

Which prime numbers are involved in the prime factorization of 105?

• 5, 7, 11

• 2, 3, 5

• 3, 5, 7

• 3, 7, 11

What is the first step in factorizing 106?

• Divide by 3

• Divide by 2

• Divide by 7

• Divide by 5

Which of the following is a factor pair of 106?

• 2 and 53

• 5 and 21

• 1 and 105

• 3 and 35

What are the factors of 106?

• 1, 2, 3, 53, 106

• 1, 2, 5, 53, 106

• 1, 2, 53, 106

• 1, 3, 53, 106

Which prime numbers are involved in the prime factorization of 106?

• 7 and 53

• 5 and 53

• 3 and 53

• 2 and 53

What is the prime factorization of 106?

• 2^1 x 53^1

• 2^1 x 53^2

• 2^2 x 53^1

• 2^1 x 53^3