Chapter 4: Q12. (page 172)

Tell whether the number is prime or composite. If it is composite, write its prime factorization.
420

Short Answer

Expert verified

420 is a composite number and prime factorization is $420 = 2 \times 2 \times 2 \times 5 \times 11$ .

Step by step solution

Step-1-Recall the concept of prime and composite numbers

Prime numbers are the numbers which are divisible by 1 and itself.

Composite numbers are the numbers which have factors other than 1 and itself.

Step-2- Find the factors of the given number

The factors of 420 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420.

Observe that,

$\begin{array}{l} 420 \div 2 = 220 \\ 220 \div 2 = 110 \\ 110 \div 2 = 55 \\ 55 \div 5 = 11 \\ 11 \div 11 = 1 \end{array}$

Write the number in terms of prime factors.

$420 = 2 \times 2 \times 2 \times 5 \times 11$

Step-3- Conclusion

Since 420 has factors other than 1 and itself, it is a composite number.

The prime factorization is $420 = 2 \times 2 \times 2 \times 5 \times 11$ .

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Tell whether the number is prime or composite. If it is composite, write its prime factorization.
420

Short Answer

Step by step solution

Step-1-Recall the concept of prime and composite numbers

Step-2- Find the factors of the given number

Step-3- Conclusion

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Tell whether the number is prime or composite. If it is composite, write its prime factorization.420

Short Answer

Step by step solution

Step-1-Recall the concept of prime and composite numbers

Step-2- Find the factors of the given number

Step-3- Conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Probability and Statistics

Logic and Functions

Geometry

Theoretical and Mathematical Physics

Statistics

Study anywhere. Anytime. Across all devices.

Tell whether the number is prime or composite. If it is composite, write its prime factorization.
420