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Prime Factorization and Simplification

Prime Factorization and Simplification

Assessment

Interactive Video

•

Mathematics

•

6th - 8th Grade

•

Practice Problem

•

Hard

Created by

Olivia Brooks

FREE Resource

The video tutorial explains prime factorization using a factor tree method. It demonstrates the process with two examples: factorizing the number 75 and the number 54, both involving variables and exponents. The tutorial highlights how to break down numbers into their prime factors and express them in exponential form.

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6 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of prime factorization?

To identify all prime numbers that multiply to form the original number

To find the sum of all numbers

To divide numbers into equal parts

To convert numbers into fractions

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is a prime number?

3

4

6

9

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can the number 75 be expressed using its prime factors?

2 * 5 * 7

3 * 5 * 5

5 * 5 * 5

3 * 3 * 3

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the correct expression for m cubed?

m * m * m

3m

m + m + m

m^2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in the prime factorization of 54?

Divide by 5

Divide by 2

Divide by 3

Divide by 7

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can the expression 2 * 3 * 3 * 3 * x * x be simplified?

2 * 3^3 * x

2 * 3 * x^3

2 * 3^2 * x^3

2 * 3^3 * x^2

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