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Chapter 4: Q12. (page 172)

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

420

Short Answer

Expert verified

420 is a composite number and prime factorization is 420=2脳2脳2脳5脳11.

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 420 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420.

Observe that,

420梅2=220220梅2=110110梅2=5555梅5=1111梅11=1

Write the number in terms of prime factors.

420=2脳2脳2脳5脳11

03

Step-3- Conclusion

Since 420 has factors other than 1 and itself, it is a composite number.

The prime factorization is 420=2脳2脳2脳5脳11.

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