Properties and Theory of Integers

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

download Export
search_insights Statistics
stylus_note White Board
Quran
calculate Calculator
dictionary Dictionary
fullscreen Full Screen

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

Even Number

1 pts
volume_mute

Which number is even?

note_alt Add notes
flag Flag

Correct Answer

Explanation

Odd Numbers

1 pts
volume_mute

Select all odd numbers.

note_alt Add notes
flag Flag

Correct Answer

Explanation

Factors of 24

1 pts
volume_mute

Which of the following is a factor of 24?

note_alt Add notes
flag Flag

Correct Answer

Explanation

Prime Numbers

1 pts
volume_mute

Select all prime numbers.

note_alt Add notes
flag Flag

Correct Answer

Explanation

Composite Number

1 pts
volume_mute

Which number is composite?

note_alt Add notes
flag Flag

Correct Answer

Explanation

Coprime Numbers

1 pts

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

Please drag and drop the selected option in the right place or type it instead
coprime
prime
even
composite
note_alt Add notes
flag Flag

Correct Answer

Explanation

Find HCF

1 pts
volume_mute

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

note_alt Add notes
flag Flag

Correct Answer

Explanation

Find LCM

1 pts
volume_mute

Find the least common multiple of 4 and 6.

note_alt Add notes
flag Flag

Correct Answer

Explanation

Prime Infinite Result

1 pts

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

Please drag and drop the selected option in the right place or type it instead
finite
infinite
even
limited
note_alt Add notes
flag Flag

Correct Answer

Explanation

Classification of Numbers

2 pts

Place each number into the correct category.

drag and drop the selected option to the right place

note_alt Add notes
flag Flag

Correct Answer

Explanation

Even Number Definition

1 pts
volume_mute

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

note_alt Add notes
flag Flag

Correct Answer

Explanation

Odd Number Form

2 pts

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

Please drag and drop the selected option in the right place or type it instead
odd
2n ± 1
note_alt Add notes
flag Flag

Correct Answer

Explanation

Factors of 12

2 pts
volume_mute

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

note_alt Add notes
flag Flag

Correct Answer

Explanation

Prime Number Definition

1 pts
volume_mute

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

note_alt Add notes
flag Flag

Correct Answer

Explanation

Classify Numbers: Prime, Composite, or Neither

3 pts

Drag each number into the correct category.

drag and drop the selected option to the right place

note_alt Add notes
flag Flag

Correct Answer

Explanation

Coprime Numbers

1 pts
volume_mute

Which pair of numbers is coprime (relatively prime)?

note_alt Add notes
flag Flag

Correct Answer

Explanation

HCF and LCM Relationship

1 pts
volume_mute

The product of two natural numbers equals:

note_alt Add notes
flag Flag

Correct Answer

Explanation

HCF of Prime Numbers

1 pts

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

Answer = (1)

note_alt Add notes
flag Flag

Correct Answer

Explanation

Match HCF and LCM Concepts

2 pts

Match each term to its correct definition.

To complete the line match

  1. Click on an item in the first group
  2. Click on the match 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
note_alt Add notes
flag Flag

Correct Answer

Explanation

The Number of Primes

1 pts
volume_mute

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

note_alt Add notes
flag Flag

Correct Answer

Explanation