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Chapter 4: Q5. (page 172)

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

32

Short Answer

Expert verified

32 is a composite number and prime factorization is 32=2脳2脳2脳2脳2.

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

Observe that,

32梅1=3232梅2=1632梅4=832梅8=432梅16=232梅32=1

There are no other numbers which divides 32.

Write the number in terms of prime factors.

32=2脳2脳2脳2脳2

03

 Conclusion

Since 32 has factors other than 1 and itself, it is a composite number.

The prime factorization is 32=2脳2脳2脳2脳2.

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