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What is the least whole number that has 2 different prime factors?
6
Is a composite number times a composite number always composite?
Yes. To be composite, the first number has at least 2 prime factors, the second number also has at least prime factors; the product of the two will have at least 4 prime factors, so it must be a composite number.
Why does 2x3x4x5 give you the least number of factors?
The expression 2x3x4x5 can be simplified to 120. The number 120 has the least number of factors because it is a product of consecutive prime numbers (2, 3, and 5). When a number is a product of distinct prime numbers, it will have fewer factors compared to numbers with repeated prime factors. In this case, 120 only has 16 factors, making it the least among numbers with the same number of prime factors.
How is prime factorization different from finding factors of a number?
All numbers have factors. Some factors are prime numbers, some are composite numbers, one is neither. When finding the factors of a number, you find all the factors. The prime factorization is a multiplication string of just prime factors that will total the given number.
What two digit number that has three different prime factors?
The only two-digit number that has three different prime factors is 2 x 3 x 5, which equals 30. This number has the prime factors 2, 3, and 5, all of which are distinct prime numbers. Any other two-digit number with three prime factors would have at least one repeated prime factor, making it not have three different prime factors.
What is the least whole number the has two different prime factors?
6
What is the least number that has 4 different prime factors?
Logically, the smallest number with 4 different prime factors would have to be the product of the smallest four prime numbers. So the smallest natural number with four different prime factors is 210 (2*3*5*7).
Must a composite number have at least two different prime factors?
No, 4 has one prime factor.
What eight digit number does not have at least 3 different prime factors?
16,777,216 is one.
What is the least whole number that has 2 different prime factors?
6
What is the least whole number that has two different prime factors?
Just multiply the two smallest prime numbers. That's your number.
Is a composite number times a composite number always composite?
Yes. To be composite, the first number has at least 2 prime factors, the second number also has at least prime factors; the product of the two will have at least 4 prime factors, so it must be a composite number.
Why does 2x3x4x5 give you the least number of factors?
The expression 2x3x4x5 can be simplified to 120. The number 120 has the least number of factors because it is a product of consecutive prime numbers (2, 3, and 5). When a number is a product of distinct prime numbers, it will have fewer factors compared to numbers with repeated prime factors. In this case, 120 only has 16 factors, making it the least among numbers with the same number of prime factors.
How is a prime number different from the factors?
A prime number has only two factors, one and the number itself. A composite number has more than two factors. Factors can be either prime or composite.
How is prime factorization different from finding factors of a number?
All numbers have factors. Some factors are prime numbers, some are composite numbers, one is neither. When finding the factors of a number, you find all the factors. The prime factorization is a multiplication string of just prime factors that will total the given number.
What is the least number that is divisible by four different prime numbers?
the least number is 210 which is divisible by four different prime numbers.
What number has five different prime factors?
Since there are an infinite number of prime numbers, there are infinite numbers with any given number of prime factors.
