Math, asked by sudhakarsultanpur7, 11 months ago

express 21168 as product of prime factors​

Answers

Answered by pendyalamanu777
12

Answer:

please refer the attachment for procedure

Attachments:
Answered by santy2
3

Answer:

2^4 × 3^3 × 7^2 = 21168

Step-by-step explanation:

There are many methods of expressing a number to the product of it's prime factors but the factor tree

method is the easiest.

Prime factors are prime numbers that can be multiplied to give the original number while prime

numbers are numbers which are divisible by one or themselves only.

We can now solve using the least prime numbers which are usually commonly used that is 2 ,3 , 5

7 and 11

We divide the number given with the prime numbers till we get a number which cannot be divided

anymore

21168

2 10584

2 5292

2 2646

2 1323

3. 441

3 147

3 49

7 7

This tree means that 21168 ÷ 2 = 10584 e.t.c as you go down

So the prime factors are 2 , 2 , 2 , 2 , 3 , 3 , 3 ,7 , 7 which means that

2∧4 × 3³ × 7² = 2116.

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