Question

write the prime factorization of 4725 in exponential form ​

Answer 1

Answer:

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Answer 2

Answer:

prime factorization of 4725 = $3^{3}*5^{2}*7^{1}$

firstly divide the number by least prime number which is divisible

⇒$\frac{4725}{3}$=1575

again divide it by 3

⇒$\frac{1575}{3}$=525

now also it can be divide by 3

⇒$\frac{525}{3}$=175

now the number cannot be divided by 3

so divde the number by next prime number which is 5

⇒$\frac{175}{5}$=35

again divide it by 5

⇒$\frac{35}{5}$=7

the last number is 7 which is prime itself.

so the prime factorization of 4725 is

⇒$3^{3} *5^{2} *7^{1}$

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