what happen math question sir
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( 3 ) ••prime number :- 23,29,31,37,41,43,47.
••composite number :- 21,22,25,26,27,28,30,32,33,34,35,36,38,39,40,42,44,45,46,48,49.
( 4 ) •• prime number :- 53,59,61,67,71,73,79,83,89,97.
( 5 ) Also, 2+1 = 3 is an odd number and 2-1 = 1 is an odd number. Hence, 2 is the number that is both prime and even number. There is no other number which has this property.
( 6 ) The five numbers that are both odd and prime that are 3,5,7,11,13.
( 7 ) The product of two even number is even. so, let m and n be any integers. so that 2m and 2k are two even number. The product is 2m ( 2k ) = 2( 2mk ), which is even.
( 8 ) The sum will always be even. Difference will always be even, and product will always be odd.
( 9 ) ( 3 5 ) ( 5 7 ) ( 11 13 ) ( 17 19 ) ( 29 31 ) ( 41 43)
( 59 61 ) ( 71 73 ).
( 10 ) One is Neither prime no. and not composite number. To be prime, a number must have two positive divisions, the no. itself and one. one only has a si gle positive divisor.
one isn't composite because two no. that are not one can not multiply to equal one.
( 11 ) Factor of
•• 4 = 1, 2, 4 (number of factors = 3 which is
odd)
•• 9 = 1,3,9 ( number of factors = 3 which is
odd)
•• 25 = 1,5,25 ( number of factors = 3 which is
odd)
•• 49 = 1,7,49 ( number of factors = 3 which is
odd)
Hence, number of factors for perfect squares are odd.
As square number always have one factor as a*a.
so that pair has only one factor.
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