2 x 2 x 3 x 7 = 84
2 x 3 x 3 x 3 x 7 = 378
2 x 2 x 3 x 3 x 3 x 7 = 756, the LCM
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2 x 2 x 2 x 3 x 3 x 5 = 360
2 x 3 x 3 x 3 x 7 = 378
2 x 3 x 3 = 18, the GCF
2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 = 7560, the LCM
2 x 3 x 3 x 3 x 7 = 378
2 x 3 x 13 = 78 No exponents needed.
378 189,2 63,3,2 21,3,3,2 7,3,3,3,2 2 x 33 x 7 = 378
In index form, 378 = 2 x 3 x 3 x 3 x 7 = 2 x 33 x 7
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