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E:\Working\Focus_Learning\Math_Genius_5_(05-10-2023)\Open_Files\CHAP_03
\\February 16, 2024 2:20 PM Surender Prajapati Proof 5 Reader _________________________ Date: ___________________74

Properties of Factors

1. 1 is a factor of every number.
example: 1 × 5 = 5, 1 × 8 = 8, 1 × 24 = 24, etc.

2. Every number is a factor of itself.
example: 7 × 1 = 7, 9 × 1 = 9, 73 × 1 = 73, etc.
3. Every non-zero number has atleast two factors, except 1 which has only 1 factor.

4. There are a finite number of factors of any number. Note
example: The factors of 30 are 1, 2, 3, 5, 6, 10, 15 and 30. 1 is the smallest
So, the factors are limited. factor of a number.

5. The factors of a number is equal to or less than the given number.
example: The factors of 18 are 1, 2, 3, 6, 9 and 18.

6. Zero is not a factor of any number, whereas every number is a factor of zero.

Think and Answer
Is your age a factor of the sum of your parents’ age?

Practice time 3a

1. Fill in the blanks.

(a) _________ is a factor of every number.

(b) The greatest factor of a number is the _________.

(c) The number _________ has only one factor.

(d) When a number is divided by its factor, the remainder is _________.

(e) The smallest number which has exactly two factors 1 and the number itself is

_________.

(f) The factor of a non-zero number is either _______ than or _______ to the number.

(g) The factors of 6 are _____________.

2. Find all the factors of:

(a) 9 (b) 16 (c) 28 (d) 32 (e) 48
(f) 45 (g) 72 (h) 81 (i) 100 (j) 144

3. Is 9 a factor of 1004?
4. Check whether the smaller number in each pair is a factor of bigger number.

(a) 8, 148 (b) 16, 296 (c) 24, 342 (d) 21, 441

60 Mathematics-5