The factors of 100 are all the numbers that divide 100 exactly (with no remainder): 1, 2, 4, 5, 10, 20, 25, 50, and 100. The prime factorisation of 100 is 2² × 5². There are 9 factors in total. This topic is important for HCF, LCM, and divisibility in Class 5–7 Maths.
Factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100 — total 9 factors.
Prime factorisation of 100 = 2² × 5².
Factor pairs: (1,100), (2,50), (4,25), (5,20), (10,10).
100 is a perfect square: √100 = 10.
100 is even, composite, and divisible by 1, 2, 4, 5, 10, 20, 25, 50, 100.
Number of factors formula: (2+1)(2+1) = 9 (from 2² × 5²).
All Factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100
Total number of factors: 9
How to Find Factors (Division Method): 100 ÷ 1 = 100 ✓ 100 ÷ 2 = 50 ✓ 100 ÷ 4 = 25 ✓ 100 ÷ 5 = 20 ✓ 100 ÷ 10 = 10 ✓ 100 ÷ 20 = 5 ✓ 100 ÷ 25 = 4 ✓ 100 ÷ 50 = 2 ✓ 100 ÷ 100 = 1 ✓
Factor Pairs of 100:
| Factor 1 | Factor 2 | Product |
|---|---|---|
| 1 | 100 | 100 |
| 2 | 50 | 100 |
| 4 | 25 | 100 |
| 5 | 20 | 100 |
| 10 | 10 | 100 |
Prime Factorisation of 100: Method (factor tree): 100 = 2 × 50 = 2 × 2 × 25 = 2 × 2 × 5 × 5 = 2² × 5²
Prime factors of 100: 2 and 5
Number of Factors Formula: If n = 2² × 5² → number of factors = (2+1) × (2+1) = 3 × 3 = 9 ✓
Is 100 a Perfect Square? Yes! 100 = 10 × 10 → √100 = 10
Key Properties: • 100 is a composite number (more than 2 factors) • 100 is an even number • 100 is a perfect square (10²) • 100 is divisible by 1, 2, 4, 5, 10, 20, 25, 50, 100
Useful for: • HCF of 100 and another number → use common factors • LCM calculations • Percentage (per cent = per hundred)
The factors of 100 are: 1, 2, 4, 5, 10, 20, 25, 50, 100 — total 9 factors. Prime factorisation: 100 = 2² × 5². Factor pairs: (1,100), (2,50), (4,25), (5,20), (10,10). 100 is a perfect square (10²). It has 9 factors because (2+1)(2+1) = 9.
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