Properties and Theory of Integers

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

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QUESTION OF
Views #: 9
Questions #: 20
Time: 10 minutes
Pass Score: 80.0%
Style
Mode

Even Number

1 pts
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Which number is even?

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Odd Numbers

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Select all odd numbers.

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Factors of 24

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Which of the following is a factor of 24?

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Prime Numbers

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Select all prime numbers.

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Composite Number

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Which number is composite?

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Coprime Numbers

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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

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

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Find LCM

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Find the least common multiple of 4 and 6.

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Prime Infinite Result

1 pts

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

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Place each number into the correct category.

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Even Number Definition

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

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Odd Number Form

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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

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

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Prime Number Definition

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

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Classify Numbers: Prime, Composite, or Neither

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Drag each number into the correct category.

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Coprime Numbers

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Which pair of numbers is coprime (relatively prime)?

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HCF and LCM Relationship

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The product of two natural numbers equals:

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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

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Match each term to its correct definition.

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  2. Click on the match in the second group

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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
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The Number of Primes

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Which of the following correctly states the result proved in Section 1.16 of the textbook regarding prime numbers?

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Explanation

✕
0
sin cos tan
sin-1 cos-1 tan-1 π e
xy x3 x2 ex 10x
y√x 3√x √x ln log
( ) 1/x % n!
7 8 9 + MS
4 5 6 – M+
1 2 3 × M-
0 . EXP ÷ MR
± RND C = MC
Keywords
Year 7 Year 8