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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脳2脳2脳7.

Step by step solution

01

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.

02

 Find the factors of the given number

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

Observe that,

56梅2=2828梅2=1414梅2=77梅7=1

Write the number in terms of prime factors.

56=2脳2脳2脳7

03

 Conclusion

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

The prime factorization is 56=2脳2脳2脳7.

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