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Which number less than 1000 has the most different prime factors?

210 has 4, which is the maximum possible. There are other numbers with 4 different prime factors.


How many rectangular arrangements are possible if the band adds one member and becomes a 61 member bands?

To determine the number of rectangular arrangements for a 61-member band, we need to find the factor pairs of 61. Since 61 is a prime number, its only factors are 1 and 61, which means the only rectangular arrangements possible are 1 row of 61 members or 61 rows of 1 member. Therefore, there are only two possible rectangular arrangements for a 61-member band.


Does 38 have a odd number of different factors?

The factors of 38 are 1, 2, 19, and 38. There are four different factors. The prime factors of 38 are 2 and 19. There are two different prime factors.


What are the prime factors of the denominators that terminate?

The only possible prime factors are 2 and 5. But the denominator can, of course, be 1.


How many different prime factors does 420 have?

420 has four prime factors: 2,3,5,7


How many different arrangement are possible for the prime factors of 30?

There are six, but it is traditional to list them least to greatest,


What are numbers that have 2 4 8 factors?

Numbers that have 2 factors are prime numbers; Numbers that have 4 factors are either: * the cube of a prime; or * the product of two different primes; Numbers that have 8 factors are either: * a prime to the power 7; * the product of a prime cubed and different prime; * the product of three different primes.


How do you do sum of different prime factors of 550?

Find the different prime factors of 550. They are 2, 5 and 11. Add them. The answer is 18.


What numbers have exactly 3 different prime factors?

There are an infinite number of them. 8 has three prime factors, 30 is the first with three distinct prime factors.


How do you know when you have found the longest possible sting factors of a number?

All of the factors are prime.


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 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).