What are the prime factor of 1729?
ascending order of the prime factors of 1729 is 7,13,19. so, it is clear that the difference between two consecutive prime factors is 6.
Is 1729 a composite number?
This number is a composite. It is the smallest number expressible as the sum of two positive cubes in two different ways. …
What is the prime factor of 980?
Solution: Since, the prime factors of 980 are 2, 5, 7. Therefore, the product of prime factors = 2 × 5 × 7 = 70.
What is the LCM of 10 15 and 20?
60
Answer: LCM of 10, 15, and 20 is 60.
What is the number 1729?
1729 is the natural number following 1728 and preceding 1730. It is a taxicab number, and is variously known as Ramanujan’s number and the Ramanujan-Hardy number, after an anecdote of the British mathematician G. H. Hardy when he visited Indian mathematician Srinivasa Ramanujan in hospital.
How do you find the number of factors quickly?
How to Find Number of Factors?
- Find its prime factorization, i.e. express it as the product of primes.
- Write the prime factorization in the exponent form.
- Add 1 to each of the exponents.
- Multiply all the resultant numbers.
- This product would give the number of factors of the given number.
What are the prime factors of 13500?
Answer
- What is the prime factorization of the number 13,500?
- The prime factors are: 2 x 2 x 3 x 3 x 3 x 5 x 5 x 5. or also written as { 2, 2, 3, 3, 3, 5, 5, 5 }
- Written in exponential form: 22 x 33 x 53.
What is the prime factor of 144?
The factors of composite number 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, and 144. The prime factorization of 144 is 1 × 2 × 2 × 2 × 2 × 3 × 3. The prime factors of 144 are 1, 2, and 3.
What are the prime factors of the number 1729?
The prime factors of number 1729 are: 7, 13, 19. Determined equcation for number 1729 factorization is: 7 * 13 * 19.
Is the number 1729 an odd composite number?
1729 is an odd composite number. It is composed of three distinct prime numbers multiplied together. It has a total of eight divisors. See below for interesting mathematical facts about the number 1729 from the Numbermatics database.
Is the number 1729 a binary or duodecimal number?
Because in base 10 the number 1729 is divisible by the sum of its digits, it is a Harshad number. It also has this property in octal (1729 = 33018, 3 + 3 + 0 + 1 = 7) and hexadecimal (1729 = 6C116, 6 + C + 1 = 1910), but not in binary and duodecimal.
Which is the smallest solution for the number 1729?
1729 = 13 + 123 = 93 + 103. The quotation is sometimes expressed using the term “positive cubes”, since allowing negative perfect cubes (the cube of a negative integer) gives the smallest solution as 91 (which is a divisor of 1729):