Chapter 4: Q6. (page 172)

Tell whether the number is prime or composite. If it is composite, write its prime factorization.
56

Short Answer

Expert verified

56 is a composite number and prime factorization is $56 = 2 \times 2 \times 2 \times 7$ .

Step by step solution

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.

Find the factors of the given number

The factors of 56 are 1, 2, 4, 7, 8, 14, 28, 56.

Observe that,

$\begin{array}{l} 56 \div 2 = 28 \\ 28 \div 2 = 14 \\ 14 \div 2 = 7 \\ 7 \div 7 = 1 \end{array}$

Write the number in terms of prime factors.

$56 = 2 \times 2 \times 2 \times 7$

Conclusion

Since 56 has factors other than 1 and itself, it is a composite number.

The prime factorization is $56 = 2 \times 2 \times 2 \times 7$ .

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Tell whether the number is prime or composite. If it is composite, write its prime factorization.
56

Short Answer

Step by step solution

Recall the concept of prime and composite numbers

Find the factors of the given number

Conclusion

One App. One Place for Learning.

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Tell whether the number is prime or composite. If it is composite, write its prime factorization.56

Short Answer

Step by step solution

Recall the concept of prime and composite numbers

Find the factors of the given number

Conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Statistics

Applied Mathematics

Discrete Mathematics

Geometry

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Tell whether the number is prime or composite. If it is composite, write its prime factorization.
56