Factors of 1440
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What are the Factors of 1,440?
Answer
Factors of 1,440:
36 factors: 1, 2, 3, 4, 5 … 480, 720, 1440
all 36 factors
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 72, 80, 90, 96, 120, 144, 160, 180, 240, 288, 360, 480, 720, 1440
36 factors · 1440 = 25 × 32 × 5 · composite
Underlined — prime: 2, 3, 5 · 1 — neither prime nor composite · others — composite
Factor pairs of 1,440
- 1 × 1440
- 2 × 720
- 3 × 480
- 4 × 360
- 5 × 288
- 6 × 240
- 8 × 180
- 9 × 160
√1440 ≈ 37.95 — the last pair 36 × 40 sits here; past it pairs repeat.
all 18 pairs
- 1 × 1440
- 2 × 720
- 3 × 480
- 4 × 360
- 5 × 288
- 6 × 240
- 8 × 180
- 9 × 160
- 10 × 144
- 12 × 120
- 15 × 96
- 16 × 90
- 18 × 80
- 20 × 72
- 24 × 60
- 30 × 48
- 32 × 45
- 36 × 40
1440 = 25 × 32 × 5 → (5 + 1) × (2 + 1) × (1 + 1) = 36 factors: add 1 to each exponent and multiply.
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See Also
- Prime Number Checker - Find out whether a given number is Prime or not
- Prime Factorization - Prime Factorization Calculator
- Prime Numbers List - List of all Prime Numbers - how many Prime numbers are between
Factors Table
FAQ
What are the Factors of 1,440?
Factors of 1,440: 36 factors: 1, 2, 3, 4, 5 … 480, 720, 1440
How many factors does 1,440 have?
Number 1,440 has 36 factors
How many Factor Pairs does 1,440 have?
Number 1,440 has 18 factor pairs
Is 1,440 a prime or composite number?
Composite: 1440 = 2⁵ × 3² × 5, so it has 36 factors — a prime has exactly two.
How many factors does 1,440 have excluding 1 and 1,440?
34 — all 36 factors except 1 and 1,440.
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