Prime Factorization and Statistical Concepts

The video tutorial covers three math problems. Problem 207 involves finding the even divisors of n = 4p, where p is a prime number greater than 2. Problem 208 examines the properties of two sets, S and T, and evaluates various statements about their means, medians, and ranges. Problem 209 focuses on determining the factors of 441 using prime factorization. The tutorial provides step-by-step solutions and explanations for each problem, enhancing understanding of mathematical concepts such as divisors, set theory, and factorization.

If n = 4p and p is a prime number greater than 2, how many positive even divisors does n have?

• 4

• 3

• 2

• 1

Which of the following is true about the mean of sets S and T, where T is a subset of S?

• Mean of S is always greater

• Means can be equal

• Mean of T is always greater

• Mean of S is always less

Tags

CCSS.6.SP.B.5C

What is the median of set T if it contains 8 numbers from set S, which has 9 numbers?

• The median is the average of the 4th and 5th numbers

• The median is the 5th number

• The median is the average of the 5th and 6th numbers

• The median is the 4th number

Tags

CCSS.7.NS.A.1D

If the range of set S is 8, what can be said about the range of set T?

• Range of T is always zero

• Range of T is always greater

• Range of T is always less

• Range of T can be equal

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Which statement is false about the range of sets S and T?

• Range of S is less than T

• Range of S is equal to T

• Range of S is at least as large as T

• Range of S is greater than T

How many different positive integers are factors of 441?

• 10

• 8

• 7

• 9

What is the prime factorization of 441?

• 3 * 7^2

• 3^2 * 7

• 3^2 * 7^2

• 3^3 * 7

Which of the following is a factor of 441?

• 30

• 35

• 25

• 21

If 441 is expressed as a product of its prime factors, which of the following is correct?

• 3 * 3 * 3 * 3

• 3 * 3 * 3 * 7

• 3 * 3 * 7 * 7

• 3 * 7 * 7

Tags

CCSS.4.OA.B.4

Which number is not a factor of 441?

• 50

• 49

• 1

• 9

Tags

CCSS.4.OA.B.4