Question

find the prime factorisation using the factor tree method​

Answer 1

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Using the Factor Tree Method, find the prime factorization of the following:

(a) 8

(b) 20

(c) 34

(d) 44

(e) 21

(f) 42

(g) 38

(h) 45

Answer

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Hint: We start solving the problem by writing the given number as a multiplication of two numbers out of which one will be a prime number. We then write the other number as a multiplication of two numbers out of which one will be a prime number. We continue this process till we get the number as a product of all prime numbers. Similarly, we follow this for all the given numbers to get the required result.

Complete step-by-step answer:

According to the problem, we are given that we need to find the prime factorization of the given numbers using the factor tree method.

(a) We need to find the prime factorization of the 8.

We know that 8=2×4.

⇒8=2×2×2

. We know that 2 is the prime number and cannot be factored further.

So, the prime factorization of 8 is 2×2×2

.

Step-by-step explanation:

i hope it's helpful

Answer 2

Answer:

(a) 60 ∴ 60 = 2 × 2 × 3 × 5 Also ∴ 60 = 2 × 2 × 3 × 5 (b) 128 ∴ 128 = 2 × 2 × 2 × 2 × 2 × 2 × 2 Also ∴ 128 = 2 × 2 × 2 × 2 × 2 × 2 × 2 (c) 144 ∴ 144 = 2 × 2 × 2 × 2 × 3 × 3 Also ∴ 144 = 2 × 2 × 2 × 2 × 3 × 3 (d) 198 (e) 420 (f) 999 Read more on Sarthaks.com - https://www.sarthaks.com/1019375/find-the-prime-factorisation-of-each-number-by-factor-tree-method-and-division-method-128