Question
Here is the question : WHICH INTEGER IS A FACTOR OF 18 + 42?
Option
Here is the option for the question :
- 7
- 9
- 30
- 126
The Answer:
And, the answer for the the question is :
Explanation:
This is a two-part question, and the first part is to solve the equation. The sum of 18 and 42 is 60, thus that’s the correct answer. Therefore, we need to find 60-factors. A ‘factor’ of 60 is any number that can be equally divided by 60. 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60 are all factors of 60.
When trying to determine which integer is a factor of a given expression, it’s important to understand what factors are and how they work in arithmetic. In the case of the expression 18 + 42, the answer is 30.
Factors are integers that divide evenly into a given number or expression. For example, the factors of 12 are 1, 2, 3, 4, 6, and 12, because each of these numbers divides evenly into 12 without leaving a remainder. Similarly, the factors of 18 are 1, 2, 3, 6, 9, and 18.
In order to determine which integer is a factor of 18 + 42, we need to first simplify the expression. 18 + 42 can be simplified by finding the greatest common factor of the two numbers, which is 6. We can then factor out 6 from both terms, giving us:
18 + 42 = 6(3 + 7)
From here, we can see that 6 is a factor of 18 + 42, because it is a common factor of both terms in the expression. However, we can also see that 30 is a factor of 18 + 42, because 30 is a multiple of 6 and is also a common factor of both terms in the expression.
In fact, 30 is the greatest common factor of 18 and 42, which means that it isthe largest integer that can divide both 18 and 42 without leaving a remainder. This is because 30 is a multiple of 6, which is the greatest common factor of 18 and 42. This means that 30 is a factor of 18 + 42 and can be expressed as:
18 + 42 = 30(1 + 3)
The expression can be further simplified to 30(4), which shows that 30 is indeed a factor of 18 + 42.
Understanding factors is important in mathematics, as it is a fundamental concept that is used in many areas of study, including algebra, number theory, and geometry. Factors are used to simplify expressions, find common denominators, and determine the roots of polynomials. They are also important in calculating greatest common factors and least common multiples.
the integer that is a factor of 18 + 42 is 30. This can be determined by finding the greatest common factor of 18 and 42, which is 6, and then looking for multiples of 6 that can divide evenly into both terms of the expression. Factors are a fundamental concept in mathematics, and understanding how they work is essential for solving problems and simplifying expressions.