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Name Class Date Reteaching 41 Divisibility and Factors Find all the factors of 30. Start with 1 and 30. Is 30 divisible by 2? Yes, it ends in 0. List 2 and 15. Is 30 divisible by 3? Yes, the sum of

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How to fill out divisibility and factors:

1. Understand the concept of divisibility: Divisibility is the mathematical concept that determines whether one number can be divided exactly by another without leaving a remainder. To fill out a divisibility and factors chart, you need to understand the rules of divisibility for different numbers. For example, a number is divisible by 2 if its units digit is even, and a number is divisible by 5 if its units digit is either 0 or 5.
2. Create a chart: To fill out a divisibility and factors chart, first create a table with the numbers you want to test for divisibility in one column and the corresponding divisibility rules in another column. For example, if you want to test numbers from 1 to 10, write those numbers in the first column and write the rules of divisibility for each number in the second column.
3. Apply the rules of divisibility: Go through each number in the first column and apply the corresponding rule of divisibility from the second column. If the number satisfies the rule, write "Yes" or any other indication in the third column to indicate that the number is divisible by the given rule. If the number does not satisfy the rule, write "No" or any other indication in the third column.
4. Find the factors: The factors of a number are the numbers that divide it evenly without leaving a remainder. To find the factors, look at the numbers in the first column that have a "Yes" in the third column. These are the numbers that are divisible by the corresponding rule. Write down all the factors of each number in the fourth column.

Who needs divisibility and factors:

1. Students studying arithmetic: Divisibility and factors are important concepts in elementary arithmetic. Students learning basic math operations, such as multiplication and division, need to understand divisibility and factors to perform these operations efficiently.
2. Problem solvers and puzzle enthusiasts: Divisibility and factors can be used to solve various mathematical problems and puzzles. For example, finding the factors of a number may be required to solve a number sequence or pattern. Problem solvers and puzzle enthusiasts often use divisibility and factors as tools to tackle complex problems.
3. Mathematicians and researchers: Divisibility and factors are fundamental concepts in number theory, a branch of mathematics that studies the properties of numbers. Mathematicians and researchers working in fields related to number theory, such as cryptography or prime number theory, heavily rely on divisibility and factors in their work.

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