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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.
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.
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.
