express 21168 as product of prime factors
Answers
Answer:
please refer the attachment for procedure
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.