Question

Express the following numbers as a product of prime factors: (a)108 (b)432​

Answer 1

Answer:

a. 2×2×3×3×3

b. 2^4 × 3^3

Answer 2

Answer:

Numbers expressed as product of prime factors are : $108= 2^{2}\times 3^{3}$ and  $432=2^{4}\times 3^{3}$ .

Step-by-step explanation:

To express : given numbers as a product of prime factors .

Given numbers : a) $108$ b) $432$ .

Solution :

• Prime numbers that can be multiplied to obtain the original number are called as prime factors of a number .
• To express numbers as a product of prime factors we do the prime factorization of number .
• When a composite number is written as a product of all of its prime factors , we have prime factorization of number

• Therefore , we write as ,
• $108 = 2\times 2\times 3\times 3\times 3$

              $= 2^{2}\times 3^{3}$

• $432 = 2\times 2\times2\times 2\times3\times3\times3$

              $=2^{4}\times 3^{3}$