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Chapter 4: Q11. (page 172)

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

180

Short Answer

Expert verified

180 is a composite number and prime factorization is 180=2脳2脳3脳3脳5.

Step by step solution

01

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.

02

Step-2- Find the factors of the given number

The factors of 180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180.

Observe that,

180梅2=9090梅2=4545梅5=99梅3=33梅3=1

Write the number in terms of prime factors.

180=2脳2脳3脳3脳5

03

Step-3- Conclusion

Since 180 has factors other than 1 and itself, it is a composite number.

The prime factorization is 180=2脳2脳3脳3脳5.

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