Quick Answer: How Many Prime Factors Does 1000 Have?

Is 3 a prime factor?

The first few prime numbers are: 2, 3, 5, 7, 11, 13, 17, 19 and 23, and we have a prime number chart if you need more.

If we can make it by multiplying other whole numbers it is a Composite Number.

2 is Prime, 3 is Prime, 4 is Composite (=2×2), 5 is Prime, and so on….

Is 1 a prime factor of every number?

Each prime number is only divisible by 1 and itself. That means the number 1 can never be a prime number. So any prime number should have only two factors and it should be greater than 1.

Why is the number 1729 special?

The Hardy-Ramanujan number is named such after an anecdote of the British mathematician G.H. Hardy who had gone to visit S. … Ramanujan said that it was not. 1729, the Hardy-Ramanujan Number, is the smallest number which can be expressed as the sum of two different cubes in two different ways.

How many prime factors can a number have?

There are an infinite number of prime numbers, so there is no upper bound to how many prime factors a number can have. Even if there were just one prime number, x, that could be multiplied by itself repeatedly to give numbers that had successively greater numbers of prime factors.

What are the prime factors of 1729?

Now state the relation, if any; between two consecutive prime factors. So, 7,13and19 are the required prime factors of 1729. Their ascending order will be 7,13,19.

What is the smallest number with 7 factors?

6464 is the smallest. It has these 7 factors: 1,2,4,8,16,32, and 64. 12 has 6 factors (1,2,3,4,6 and 12) and 24 has 8 factors (1,2,3,4,6,8,12 and 24) but you have to go all the way to 64 to get exactly 7 factors.

How many factors does 1000 have?

16 factors1000 is a composite number. The exponents in the prime factorization are 3 and 3. Adding one to each and multiplying we get (3 + 1)(3 + 1) = 4 × 4 = 16. Therefore 1000 has exactly 16 factors.

How many prime factors does 16 have?

4 Prime Factors2, 2, 2, 2. How many Prime Factors of 16? When we count the number of prime numbers above, we find that 16 has a total of 4 Prime Factors.

What are factors of 24?

Factors of 24 are 1, 2, 3, 4, 6, 8, 12 and 24.

Is 1 a prime factor?

The number 1 is called a unit. It has no prime factors and is neither prime nor composite.

What are the prime factors of 9999?

Q: What is the prime factorization of the number 9,999?The prime factors are: 3 x 3 x 11 x 101. or also written as { 3, 3, 11, 101 }Written in exponential form: 32 x 111 x 1011

Why is 1729 a magic number?

It is 1729. Discovered by mathemagician Srinivas Ramanujan, 1729 is said to be the magic number because it is the sole number which can be expressed as the sum of the cubes of two different sets of numbers. Ramanujan’s conclusions are summed up as under: 1) 10 3 + 9 3 = 1729 and 2) 12 3 + 1 3 = 1729.

What are the prime factors of 225?

225 and Level 6225 is a composite number and a perfect square.Prime factorization: 225 = 3 x 3 x 5 x 5, which can be written 225 = (3^2) x (5^2)The exponents in the prime factorization are 2 and 2. … Factors of 225: 1, 3, 5, 9, 15, 25, 45, 75, 225.Factor pairs: 225 = 1 x 225, 3 x 75, 5 x 45, 9 x 25, or 15 x 15.More items…•

What is the prime factor of 20?

20 is a composite number. 20 = 1 x 20, 2 x 10, or 4 x 5. Factors of 20: 1, 2, 4, 5, 10, 20. Prime factorization: 20 = 2 x 2 x 5, which can also be written 20 = 2² x 5.

What is the prime factors of 18?

18 is a composite number. 18 = 1 x 18, 2 x 9, or 3 x 6. Factors of 18: 1, 2, 3, 6, 9, 18. Prime factorization: 18 = 2 x 3 x 3, which can also be written 18 = 2 x 3².

How many factors does 30 have?

30 is a composite number. 30 = 1 x 30, 2 x 15, 3 x 10, or 5 x 6. Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30. Prime factorization: 30 = 2 x 3 x 5.

What are the prime factors of 1000?

Answer and Explanation: The prime factorization of 1000 is 2 × 2 × 2 × 5 × 5 × 5. A prime number is a number that is only divisibly by 1 and…

What is the prime factor of 24?

Answer and Explanation: The prime factorization of the number 24 is 2 × 2 × 2 × 3. You can also write this with exponents as 23 × 3.