Prime Factorization and Square Numbers

Prime Factorization and Square Numbers

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Jackson Turner

FREE Resource

The video tutorial explores a mathematical problem involving the multiplication of a large number to achieve a square number. The teacher introduces the concept, guides students through prime factorization, and demonstrates how to find the smallest multiplier needed. The lesson concludes with verification of the solution using a calculator.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main goal of the problem introduced in the video?

To find the largest number to multiply with 264 to get a square number.

To find the smallest number to multiply with 264 to get a square number.

To divide 264 by the smallest number to get a square number.

To find the prime factors of 264.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which number is initially used to divide 264 in the prime factorization process?

5

2

3

4

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of dividing 200 by 4 during the factorization process?

200

100

50

25

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the prime factorization of 264 in index form?

2^4 * 3 * 11

2^3 * 3 * 11

2^2 * 3 * 11

2^3 * 3^2 * 11

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is the number 3 considered problematic in achieving a square number?

It is larger than 11.

It does not have a pair in the factorization.

It is already squared.

It is not a prime number.

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What additional number is needed to multiply with 2^3 to make it a square?

4

8

2

3

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the significance of the prime factorization of 100 in the context of square numbers?

It shows that all prime factors must be cubed.

It shows that 100 is a prime number.

It shows that all prime factors must be squared.

It shows that 100 is not a square number.

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