Question

Express each of the following numbers as the sum of three odd primes (a) 21 (b) 35 (c) 49 (d)63

Answer 1

Step-by-step explanation:

21=3+7+11

35=3+5+23

49=7+13+29

63=11+23+29

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Answer 2

Answer:

The representation for each of the four parts as the sum of three odd primes will be:

a) $21=11+7+3$

b) $35=17+13+5$

c) $49=19+17+13$

d) $63=31+29+3$

Step-by-step explanation:

The odd numbers are numbers that when divided by 2 always gives a remainder of 1.

The prime numbers are numbers that are not completely divisible by any number except 1 and themselves.

Now, to represent the given numbers as sum of odd primes, we have to find the numbers that are both odd as well as prime and add upto the given number.

Finding the three suitable odd primes for each option, we get:

a) $21=11+7+3$

b) $35=17+13+5$

c) $49=19+17+13$

d) $63=31+29+3$