Prime Factorization Concepts and Applications

Prime Factorization Concepts and Applications

Assessment

Interactive Video

Mathematics

5th - 8th Grade

Practice Problem

Hard

CCSS
4.OA.B.4, 6.EE.A.1

Standards-aligned

Created by

Lucas Foster

FREE Resource

Standards-aligned

CCSS.4.OA.B.4
,
CCSS.6.EE.A.1
The video tutorial explains the concept of prime factors and their significance, particularly in cryptology. It introduces the fundamental theorem of arithmetic, which states that every positive number can be uniquely broken down into prime factors. The tutorial demonstrates two methods for finding prime factors: the prime factor tree and the list method. It emphasizes that the order of prime numbers chosen does not affect the final result. The video concludes with a brief mention of future topics, such as using prime factorization to find the highest common factor and the lowest common multiple.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the fundamental theorem of arithmetic related to?

The sum of all prime numbers

The unique set of prime factors for every positive number

The division of odd numbers

The multiplication of even numbers

Tags

CCSS.4.OA.B.4

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of using prime factors in cryptology?

To keep data safe

To decrypt data

To encrypt data

To compress data

Tags

CCSS.4.OA.B.4

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is the only even prime number?

2

3

5

7

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in breaking down a number into prime factors?

Divide by the largest prime number

Divide by 1

Multiply by 2

Look for prime numbers that divide exactly

Tags

CCSS.6.EE.A.1

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the example of finding prime factors of 90, which prime number is used first?

5

2

7

3

Tags

CCSS.6.EE.A.1

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can the prime factors of 90 be expressed using exponents?

2 * 3 * 5^2

2 * 3^2 * 5

2^2 * 3 * 5

2 * 3 * 5

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of dividing 90 by 2 in the prime factorization example?

10

15

30

45

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