Question

Write 25 as the sum of three different prime numbers How many ways are there to do this

Answer 1

Answer:

17+5+3

=22+3

=25

Step-by-step explanation:

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Answer 2

Given:

A number 25.

To Find:

The total number of ways to express 25, as a sum of three different prime numbers.

Solution:

1. A prime number is defined as a number having only 2 factors which are 1 and the number itself. All prime numbers except 2 are odd numbers.

2. To express 25 as a sum of three prime numbers, the prime numbers below 25 are to be found. Prime numbers below 25 are,

=> 2, 3, 5, 7, 11, 13, 17, 19, 23.

3. The following are the possible ways to express 25 as the sum of three different prime numbers,

=> 25 = 3 + 5 + 17,

=> 25 = 5 + 7 + 13,

4. Hence, 25 can be expressed as the sum of two primes numbers in only 2 ways.

Therefore, 25 can be expressed as the sum of two prime numbers in two different ways.