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# How do you find the prime factorization of 3024?

Wiki User

2009-01-28 10:08:45

The process of prime factorisation is one of repeated division by primes, while obtaining a quotient without a remainder, until the process yields a quotient of 1 3024 ÷ 2 = 1512 ................................. 2 is a prime factor of 3024

1512 ÷ 2 = 756 ................................... 2 is a prime factor of 3024

756 ÷ 2 = 378 ..................................... 2 is a prime factor of 3024

378 ÷ 2 = 189 ..................................... 2 is a prime factor of 3024

189 is not divisible by 2

189 ÷ 3 = 63 ....................................... 3 is a prime factor of 3024

63 ÷ 3 = 21 ......................................... 3 is a prime factor of 3024

21 ÷ 3 = 7 ........................................... 3 is a prime factor of 3024

7 is not divisible by 3

7 ÷ 7 = 1 ............................................. 7 is a prime factor of 3024

So the prime factors of 3024 are 2, 2, 2, 2, 3, 3, 3 and 7

Wiki User

2009-01-28 10:08:45
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