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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.
Is the divides relation on the set of positive integers is reflexive?
No, it is not.
Is the divides relation on the set of positive integers symmetric?
No, it is not.
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.
Is mean another way to say positive number?
No. A mean is another word for average. Can be negative, positive, or zero. As long as it adds 2 or more integers and divides it by the number of integers.
If 42 divides n what are other positive integers that divide n?
1, 2, 3, 6, 7, 14, 21
How do you multiplies and divides integers?
Multiplying and dividing integers is real easy. All you have to do is do regular dividing and multiplying keeping in mind these simple rules: RULES: 1: When multiplying or dividing integers, when the numbers are a positive, positive they equal a positive. When the numbers are negative, negative they equal a positive. In other words, same signs equal positive. 2: This rule is very similar to the rule above. The only change is that when the signs are different, they equal a negative. ( negative, positive= negative, positive, negative= negative.) Please correct me if I'm wrong. Multiply integers- my notes from class positive x positive= positive positive x negative= negative negative x negative= positive Divide integers- again my notes from class positive divided by a positive= positive negative divided by a negative= positive negative divided by a positive= negative Dividing integers are simple if the number has a different sign than the other it is always negative but if they have the same sign its always positive ex. -20/5=-4 ex. -20/-4=-5
Define greatest common factor?
In math, the greatest common factor (GCF) of two or more non-zero integers is the largest positive integer that divides the numbers without a remainder.
Why do you have to learn about greatest common divisors?
In math, the greatest common divisor (GCD) of two or more non-zero integers, is the largest positive integer that divides the numbers without a remainder.
Why is 147 a factor?
Any positive integer, k, is a factor because it will divide larger integers of the form 2k, 3k etc. 147 divides 294, for example and so is a factor of 294.
What is the greatest common divisor of 6A?
Cannot be answered because in math, the greatest common divisor (GCD) of two or more non-zero integers, is the largest positive integer that divides the numbers without a remainder.
What is the greatest common divisor of 120?
Cannot be answered because in math, the greatest common divisor (GCD) of two or more non-zero integers, is the largest positive integer that divides the numbers without a remainder.
What is the greatest common divisor of 11?
Cannot be answered because in math, the greatest common divisor (GCD) of two or more non-zero integers, is the largest positive integer that divides the numbers without a remainder.
