Prime Factorization and Composite Numbers

The video tutorial explains the factors and prime factors of the numbers 111 and 112. It begins by identifying 111 as a composite number and lists its factors as 1, 3, 37, and 111. A factor tree is used to show that the prime factors of 111 are 3 and 37. The tutorial then moves on to 112, another composite number, and lists its factors as 1, 2, 4, 7, 8, 14, 16, 28, 56, and 112. A factor tree is constructed to demonstrate that the prime factors of 112 are 2 to the power of 4 and 7. The video concludes with a reminder to subscribe for more math and science content.

What is a composite number?

• A number with more than two factors

• A number with no factors

• A number with exactly two factors

• A number with only one factor

Which of the following is a factor of 111?

• 9

• 2

• 3

• 5

What are the prime factors of 111?

• 11 and 37

• 1 and 111

• 3 and 37

• 2 and 3

Which number is a factor of 112?

• 15

• 9

• 28

• 33

How many times does 2 go into 112?

• 28 times

• 56 times

• 14 times

• 7 times

Which pair of numbers multiplies to give 112?

• 6 and 18

• 9 and 12

• 5 and 22

• 7 and 16

What is the prime factorization of 112?

• 2^2 x 13

• 3^2 x 5

• 2^3 x 11

• 2^4 x 7

How many times is the number 2 used in the prime factorization of 112?

• 4 times

• 5 times

• 3 times

• 2 times

What is the last step in the factor tree of 112?

• 2 times 14

• 2 times 7

• 2 times 28

• 2 times 56

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