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Is the divides relation on the set of positive integers transitive?
Yes. Suppose x divides y then there exist an integer p such that y = px. Suppose y divides z then there exist an integer q such that z = qy. Therefore z = q*px = qp*x Since p and q are integers then pq is an integer and therefore x divides z. That is to say: if x divides y and y divides z, then x divides z.
What is the smallest number that divides into 47 easily?
The smallest positive integer that divides into any number is 1.
What is the maths definition of HCF?
The greatest common factor, or GCF, (also known as highest common factor) is the largest positive integer that will divide evenly with no remainder into all the members of a given set of numbers.
What divides into 14?
The prime factors of 14 are 2 and 7. 1, 2, 7 and 14 are all integers that can divide into 14 without a remainder.
If c is a positive integer that divides evenly into both 64 and 96 but divides evenly into neither 16 nor 20 what should you get when you add the digits in c?
The answer for C would be 32, so the digits equal 5 when added together.
