Is 60 divisible by 12?

Is 60 divisible by 12?

The divisibility of numbers is a fundamental concept in mathematics. It involves determining whether one number can be evenly divided by another number without leaving a remainder. In the case of 60 and 12, we are interested in finding out if 60 is divisible by 12.

To assess the divisibility of 60 by 12, we must inquire if 60 can be divided by 12 without any remaining value. In this scenario, we find that 60 can indeed be divided by 12 without leaving a remainder. Hence, 60 is divisible by 12.

To understand why this is the case, let’s delve into the factors of 60. Factors are numbers that can be multiplied together to obtain a desired product. In this instance, we are searching for factors that multiply to give us 60.

The factors of 60 include 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60. To determine whether 60 is divisible by 12, we need to identify if 12 is present among its factors. Since 12 is indeed a factor of 60, we can conclude that 60 is divisible by 12.

Divisibility rules provide further insights into the concept of divisibility. These rules are useful shortcuts that allow us to ascertain whether a number is divisible by another number without performing lengthy division. Every divisor has a unique divisibility rule.

In the case of 12, we can apply its divisibility rule to determine if 60 is divisible by 12. The rule for divisibility by 12 states that a number is divisible by 12 if it is divisible by both 3 and 4.

By examining the factors of 60, we can observe that 60 is divisible by 3 (since 3 is a factor) and that 60 is divisible by 4 (since 4 is a factor). As a result, we can conclude that 60 is indeed divisible by 12.

The divisibility of 60 by 12 is significant in various applications. This understanding enables us to simplify fractions, perform operations on fractions, and solve numerical equations involving 60 and 12.

In mathematics, divisibility plays a critical role in number theory, algebra, and arithmetic. It is a fundamental concept that allows us to analyze and manipulate numbers with precision and accuracy. Understanding the divisibility of numbers helps build a strong foundation in mathematics and equips us with problem-solving skills.

In conclusion, we have determined that yes, 60 is divisible by 12. Through examining the factors, applying the divisibility rule, and understanding the significance of divisibility in mathematics, we can confidently assert that 60 can be evenly divided by 12 without leaving a remainder.

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