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Chapter 4: Q10. (page 172)

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

175

Short Answer

Expert verified

175 is a composite number and prime factorization is 175=5脳5脳7.

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 175 are 1, 5, 7, 25, 35, 175.

Observe that,

175梅5=3535梅5=77梅7=1

Write the number in terms of prime factors.

175=5脳5脳7

03

Step-3- Conclusion

Since 175 has factors other than 1 and itself, it is a composite number.

The prime factorization is 175=5脳5脳7.

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