Question

6. The number 385 is a product of 3 consecutive prime numbers. What are the three prime numbers?​

Answer 1

Answer:

here is your answer..

HOPE IT HELPS...

Answer 2

The three prime numbers are 5 , 7 and 11

Given :

The number 385 is a product of 3 consecutive prime numbers

To find :

The three prime numbers

Solution :

Step 1 of 2 :

Factorise the given number

The given number is 385

$\begin{gathered}\begin{gathered}\begin{gathered} \:\: \begin{array}{c|c} {\underline{\sf{5}}}&{\underline{\sf{\:\:385 \:\:}}}\\ {\underline{\sf{7}}}&\underline{\sf{\:\:77 \:\:}} \\ {\underline{\sf{11}}}&\underline{\sf{\:\:11 \:\:}} \\\underline{\sf{}}&\underline{\sf{\:\:1\:\:}}\\\underline{\sf{}} \end{array}\end{gathered}\end{gathered}\end{gathered}$

Thus we get ,

385 = 5 × 7 × 11

Step 2 of 2 :

Find the three prime numbers

Expressing the given number 385 is a product of 3 consecutive prime numbers we get

385 = 5 × 7 × 11

Where 5 , 7 and 11 are 3 consecutive prime numbers

Hence the required three prime numbers are 5 , 7 and 11

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