Properties and Theory of Integers

Even/Odd Numbers, Factors, Prime Numbers, HCF, and LCM

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QUESTION OF

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Views #: 246

Questions #: 20

Time: 10 minutes

Pass Score: 80.0%

Style

Step

List

Mode

Exam

Practice

Even Number

1 pts

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Which number is even?

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Odd Numbers

1 pts

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Select all odd numbers.

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Factors of 24

1 pts

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Which of the following is a factor of 24?

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Prime Numbers

1 pts

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Select all prime numbers.

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Composite Number

1 pts

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Which number is composite?

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Coprime Numbers

1 pts

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The numbers 8 and 15 are (1) numbers because their HCF is 1.

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coprime

prime

even

composite

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Find HCF

1 pts

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Find the H.C.F. of 12 and 18.

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Find LCM

1 pts

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Find the least common multiple of 4 and 6.

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Prime Infinite Result

1 pts

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Mathematicians proved that the number of prime numbers is (1).

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finite

infinite

even

limited

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Classification of Numbers

2 pts

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Numbers

×2

×12

×17

×21

Prime

Composite

Place each number into the correct category.

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Even Number Definition

1 pts

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Which of the following correctly defines an even number according to the properties of integers?

Any integer divisible by 3

Any integer of the form \(2n\), where \(n\) is an integer

Any positive integer greater than zero

Any integer that ends in 2, 4, or 6

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Odd Number Form

2 pts

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An odd number can be expressed in the form (1). If \( a \) is an even number, then \( (a + 1) \) is (2).

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odd

2n ± 1

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Factors of 12

2 pts

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Which of the following are factors of 12? (Select all that apply.)

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Prime Number Definition

1 pts

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A natural number is called a prime number if it has:

Exactly one factor: itself

Exactly two unique factors: 1 and itself

Three or more factors

Only even factors

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Classify Numbers: Prime, Composite, or Neither

3 pts

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Numbers

×1

×2

×9

×13

×15

×17

Prime

Composite

Neither

Drag each number into the correct category.

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Coprime Numbers

1 pts

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Which pair of numbers is coprime (relatively prime)?

12 and 18

8 and 25

6 and 9

4 and 14

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HCF and LCM Relationship

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The product of two natural numbers equals:

Their H.C.F. added to their L.C.M.

Their H.C.F. multiplied by their L.C.M.

Their L.C.M. divided by their H.C.F.

Twice their H.C.F.

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HCF of Prime Numbers

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What is the H.C.F. of any two prime numbers?

Answer = (1)

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Match HCF and LCM Concepts

2 pts

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To complete the line match

Click on an item in the first group
Click on an item in the second group
To delete a match, double click on a line

Term

H.C.F.

L.C.M.

Coprime Numbers

Composite Number

Definition

Smallest number exactly divisible by each of the given numbers

Greatest number that divides each of the given numbers exactly

A natural number with three or more factors

Two numbers whose only common factor is 1

Match each term to its correct definition.

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The Number of Primes

1 pts

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Choose the correct statenebt regarding prime numbers?

There are exactly 100 prime numbers

The number of primes is finite but unknown

The number of primes is infinite

There is a formula to generate all prime numbers

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Year 7 Year 8

Even Number

Correct Answer

Explanation

Odd Numbers

Correct Answer

Explanation

Factors of 24

Correct Answer

Explanation

Prime Numbers

Correct Answer

Explanation

Composite Number

Correct Answer

Explanation

Coprime Numbers

Correct Answer

Explanation

Find HCF

Correct Answer

Explanation

Find LCM

Correct Answer

Explanation

Prime Infinite Result

Correct Answer

Explanation

Classification of Numbers

Correct Answer

Explanation

Even Number Definition

Correct Answer

Explanation

Odd Number Form

Correct Answer

Explanation

Factors of 12

Correct Answer

Explanation

Prime Number Definition

Correct Answer

Explanation

Classify Numbers: Prime, Composite, or Neither

Correct Answer

Explanation

Coprime Numbers

Correct Answer

Explanation

HCF and LCM Relationship

Correct Answer

Explanation

HCF of Prime Numbers

Correct Answer

Explanation

Match HCF and LCM Concepts

Term

Definition

Correct Answer

Explanation

The Number of Primes

Correct Answer

Explanation

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