Which of these are not coprime numbers - (1) #32,24#; (2) #25,32#; (3) #15,22# and (4) #18,35#?
2 Answers
Explanation:
Coprime numbers are those numbers, who do not have any factor, other than
(2) Factors of
(3) Factors of
(4) Factors of
However, in case of (1) factors of
Explanation:
#"a pair of numbers are coprime if they have no "#
#color(blue)"common factors"" other than 1"#
#"compare the factors of each pair of numbers"#
#(1)color(white)(x)32,24#
#"factors of 32 "=1,2,4,8,16,32#
#"factors of 24" =1,2,3,4,6,8#
#32,24" have common factors of "1,2,4,8#
#rArr32,24" are not coprime"#
#(2)color(white)(x)25,32#
#"factors of 25 "=1,5,25#
#"the only common factor between "25" and "32 " is "1#
#rArr25" and " 32" are coprime"#
#"comparing the other pairs confirms that only "#
#32" and "24" are not coprime"#