In mathematics, a divisor of a number is an integer that can be multiplied by another integer to produce the given number. In other words, a divisor is a number that divides another number without leaving a remainder.

For the number 12, the divisors are 1, 2, 3, 4, 6, and 12. This is because these numbers can be multiplied by another integer to give the number 12:

- 1 * 12 = 12
- 2 * 6 = 12
- 3 * 4 = 12

1. Every number has at least two divisors: 1 and the number itself.

2. The largest divisor of a number is the number itself.

3. The smallest divisor of a number is 1.

Divisors are used in various mathematical concepts, such as finding the greatest common divisor (GCD) and least common multiple (LCM) of numbers, prime factorization, and determining whether a number is prime or composite.

.Study GuideDivision Activity Lesson

Flag Making Worksheet/Answer key

Division Worksheet/Answer key

Division Worksheet/Answer key

Division Worksheet/Answer keyMultiplication and Division Worksheet/Answer keyDivision Worksheet/Answer keyMultiplication and Division

Number and Operations (NCTM)

Understand meanings of operations and how they relate to one another.

Understand various meanings of multiplication and division.

Understand the effects of multiplying and dividing whole numbers.

Compute fluently and make reasonable estimates.

Develop fluency with basic number combinations for multiplication and division and use these combinations to mentally compute related problems, such as 30 x 50.

Develop fluency in adding, subtracting, multiplying, and dividing whole numbers.

Select appropriate methods and tools for computing with whole numbers from among mental computation, estimation, calculators, and paper and pencil according to the context and nature of the computation and use the selected method or tools.

Algebra (NCTM)

Use mathematical models to represent and understand quantitative relationships.

Model problem situations with objects and use representations such as graphs, tables, and equations to draw conclusions.

Grade 3 Curriculum Focal Points (NCTM)

Number and Operations and Algebra: Developing understandings of multiplication and division and strategies for basic multiplication facts and related division facts

Students understand the meanings of multiplication and division of whole numbers through the use of representations (e.g., equal-sized groups, arrays, area models, and equal 'jumps' on number lines for multiplication, and successive subtraction, partitioning, and sharing for division). They use properties of addition and multiplication (e.g., commutativity, associativity, and the distributive property) to multiply whole numbers and apply increasingly sophisticated strategies based on these properties to solve multiplication and division problems involving basic facts. By comparing a variety of solution strategies, students relate multiplication and division as inverse operations.