36
Wiki User
∙ 8y ago35 is a multiple of 7 7 and 1 are a factor pair of 7. 3 and 5 are a factor pair of 15
(30,1)(15,2)(10,3)(6,5) (35,1)(7,5)
(35,1) or (7,5)
the factor pairs are 1x35, 5x7
A unique factor pair is a pair of factors that haven't been given already that multiply to give the original number. For instance, if I was going to work out the factors of 24, I would put 1, 2, 3, 4, 6, 8, 12 and 24.The unique factor pairs would be 1 and 24, 2 and 12, 3 and 8, 4 and 6. I could also write 8 and 3 as a factor pair, but as I've already put the reverse of this, it would not be a uniquefactor pair.
7 and 35
1 and 105 are a factor pair of 105 since 1 x 105= 105 3 and 35 are a factor pair of 105 since 3 x 35= 105 5 and 21 are a factor pair of 105 since 5 x 21= 105 7 and 15 are a factor pair of 105 since 7 x 15= 105
7 and 35
The lowest common factor of any pair of positive integers is 1.
The first step in answering this problem is to break down 30 into its prime factors. These are 2, 3 and 5. Thus two numbers will have a lowest common multiple of 30 if the only unique prime factors are 2, 3 and 5. In order to have a highest common factor of 3, the two numbers need to have only one shared factor (3). Therefore one of the numbers needs to have the prime factors of 2 and 3, and the other needs to have the prime factors of 3 and 5. Thus, the two numbers with a LCM of 30 and a HCF of 3 are 6 and 15.