Is 132,720 a Prime Number?
No, 132,720 is not a prime number
Number Properties
- Value:132,720
- Number Type:Even, Positive
- Digit Sum:15
- Total Digits:6
- Binary:100000011001110000
- Hexadecimal:20670
Prime Status
132,720 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
24 × 3 × 5 × 7 × 79
Divisors
Total divisors: 80
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 35, 40, 42, 48, 56, 60, 70, 79, 80, 84, 105, 112, 120, 140, 158, 168, 210, 237, 240, 280, 316, 336, 395, 420, 474, 553, 560, 632, 790, 840, 948, 1106, 1185, 1264, 1580, 1659, 1680, 1896, 2212, 2370, 2765, 3160, 3318, 3792, 4424, 4740, 5530, 6320, 6636, 8295, 8848, 9480, 11060, 13272, 16590, 18960, 22120, 26544, 33180, 44240, 66360, 132720
Explore Nearby Primes
Understanding Prime Numbers
A prime number is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers. In other words, it has exactly two distinct positive divisors: 1 and itself.
Properties of Prime Numbers
- Every prime number except 2 is odd
- 2 is the only even prime number
- Prime numbers are infinitely many
- Prime numbers become less frequent as they get larger
- The distribution of primes follows patterns studied in number theory
Importance of Prime Numbers
- Foundation of number theory and pure mathematics
- Essential in cryptography and internet security
- Used in hash functions and random number generation
- Applied in error correction codes and data compression
- Helping solve complex problems in computer science
The first few prime numbers are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, ...
The Fundamental Theorem of Arithmetic states that every integer greater than 1 can be represented uniquely as a product of prime numbers, making primes the "building blocks" of all natural numbers.