Which answer choice contains all the factors of 10? This question delves into the fascinating realm of number theory, where we explore the fundamental building blocks of numbers and their intriguing relationships. Understanding the factors of 10 is not merely an academic pursuit; it finds practical applications in diverse fields, from mathematics and physics to engineering and everyday life.
To fully grasp the concept of factors, we must first understand their mathematical definition. Factors are the numbers that, when multiplied together, produce another number. In the case of 10, its factors are the numbers that, when multiplied, result in 10. Identifying these factors requires a deeper understanding of prime factorization, common multiples, and the mathematical properties of 10 itself.
Factors of 10
The factors of 10 are the positive integers that divide 10 evenly, without leaving a remainder. They are 1, 2, 5, and 10.
Prime Factorization
Prime factorization is a way of expressing a number as a product of prime numbers. The prime numbers are the numbers that are only divisible by themselves and 1. The prime factorization of 10 is 2 × 5, which means that 10 is the product of the prime numbers 2 and 5.
Common Multiples, Which answer choice contains all the factors of 10
Common multiples are the multiples that are shared by two or more numbers. The common multiples of 10 are 10, 20, 30, 40, 50, 60, 70, 80, 90, and 100.
Applications of Factors
The factors of 10 have many applications in mathematics, physics, engineering, and everyday life. For example, in mathematics, the factors of 10 are used to find the greatest common factor (GCF) and the least common multiple (LCM) of two or more numbers.
In physics, the factors of 10 are used to convert between different units of measurement. In engineering, the factors of 10 are used to calculate the size and shape of objects. In everyday life, the factors of 10 are used to count objects and to measure quantities.
Q&A: Which Answer Choice Contains All The Factors Of 10
What is the prime factorization of 10?
The prime factorization of 10 is 2 x 5.
What are the common multiples of 10?
The common multiples of 10 include 20, 30, 40, 50, 60, 70, 80, 90, 100, and so on.
How can I use the factors of 10 to solve problems?
The factors of 10 can be used to solve problems in various fields, such as finding the greatest common factor (GCF) or least common multiple (LCM) of two or more numbers.
