Each prime factor appears 3 times in its cube. State whether the statement is true or false.

Solution:

Given, each prime factor appears 3 times in its cube.

We have to determine if the given statement is true or false.

Prime factor is finding which prime numbers multiply together to make the original number.

Example: Consider 343

So, 343 = 7 × 7 × 7

The prime factor 7 occurs 3 times in its cube 343.

Therefore, the given statement is true.

✦ Try This: Each prime factor appears 2 times in its square. State whether the statement is true or false.

☛ Also Check: NCERT Solutions for Class 8 Maths

NCERT Exemplar Class 8 Maths Chapter 3 Problem 54

Each prime factor appears 3 times in its cube. State whether the statement is true or false

Summary:

The given statement, ”Each prime factor appears 3 times in its cube” is true

☛ Related Questions:

• The square of 2.8 is 78.4. State whether the statement is true or false
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