Factors

IMPORTANT

Factors: Overview

This topic covers concepts such as Prime Factors, A Factor Common to Every Number, Basic Properties of Factors of Numbers, Method to Find Factors of Given Numbers, Even and Odd Numbers, Coprime Numbers, etc.

Important Questions on Factors

MEDIUM
IMPORTANT

Let's find and note down twin prime numbers. (from 1 to 100)

MEDIUM
IMPORTANT

Let's make a grid and find out the prime numbers in between 1 and 200 by the Sieve of Eratosthenes method.

MEDIUM
IMPORTANT

Find the odd numbers that come immediately one after the other are both prime numbers.

For example: 3,5.

Do they have a different name?

 

MEDIUM
IMPORTANT

Except for 2, all prime numbers are _____.

MEDIUM
IMPORTANT

1 2 3 4 5 6  7 8  9  10 
11 12  13 14   15  16 17 18 19 20
21 22  23 24 25 26 27  28  29 30 
31 32 33 34 35 36 37 38 39 40
41 42 43 44 45 46 47 48 49 50
51 52 53 54 55 56 57 58 59 60
61 62 63 64 65 66 67 68 69 70
71 72 73 74 75 76 77 78 79 80
81 82 83 84 85 86 87 88 89 90
91 92 93 94 95 96 97 98 99 100

Note down the prime numbers between 1 to 100 derived from Sieve of Eratosthenes method.

MEDIUM
IMPORTANT

The following grid shows the multiples of the number from 1 to 10.

Question Image

The multiples of 3 are blue cells.

Note down the multiples of 3.

MEDIUM
IMPORTANT

The following grid shows the multiples of the number from 1 to 10.

Question Image

The multiples of 2 are red cells.

Note down the multiples of 2.

MEDIUM
IMPORTANT

Give reason to say whether the given statement is true or false.

12 is a factor of 96.

MEDIUM
IMPORTANT

Give reason to say whether the given statement is true or false.

6 is a factor of 48.

MEDIUM
IMPORTANT

Give reason to say whether the given statement is true or false.

8 is a factor of 8.

MEDIUM
IMPORTANT

Give reason to say whether the given statement is true or false.

7 is a factor of 25.

MEDIUM
IMPORTANT

Give reason to say whether the given statement is true or false.

5 is a factor of 12.

HARD
IMPORTANT

Give reason to say whether the given statement is true or false.

6 is a factor of 36.

MEDIUM
IMPORTANT

Find the common factors and highest common factor of the number pair 24, 56.

MEDIUM
IMPORTANT

Find the common factors and highest common factor of the number pair 44, 64

MEDIUM
IMPORTANT

Find the common factors and highest common factor of the number pair 36, 48

EASY
IMPORTANT

Which of the following statement is correct?

1 is a divisor of all numbers.

MEDIUM
IMPORTANT

1 is a factor of every number.

MEDIUM
IMPORTANT

Circle the number that is prime as well as even.

3     1     5     2     7

MEDIUM
IMPORTANT

Write the prime factorisation and prime factors of 48.