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# What number less than 1000 has the most prime factors?

Updated: 4/28/2022

Wiki User

11y ago

512 = 29

or

768 = 28*3 have 9 prime factors each.

Wiki User

11y ago

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Q: What number less than 1000 has the most prime factors?
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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.

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The greatest possible 'length' comes from the number with the greatest number of prime factors. The greatest number of factors is created by using the smallest prime number, 2, as a factor as many times as possible. Since 2^9=512 and 2^10=1024, the greatest possible 'length' of a positive integer less than 1000 is 9.

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no, factors of a number would be less than that of the original number. A prime number is a number that has factors of only itself and 1.

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How about 105 whose prime factors are 3, 5 and 7

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By definition, a prime number has exactly two factors. So, there are no prime numbers with exactly three factors.

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It is 97 which has only two factors because it is a prime number

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Numbers can be checked to see if they are primes simply by factoring them. Every prime number has exactly two factors, 1 and the number itself. If there are more or less than 2 factors, the number is not a prime. 1 has only one factor so it is not a prime, and composite numbers have 3 or more factors.

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A number is prime if its only two factors are one and itself.