# Prime Factors of 1008

1008 is divisible by the prime number 2 which results in 504. The same step can be applied 3 more times and the resultant value will be 63. Continuing, the number 63 is divisible by prime number 3 and the result after division will be 21. The same step can be applied 1 more time and the resultant value will be 7. The result 7 cannot be divided any further as it is a prime number. Hence the prime factors of 1008 are 2, 2, 2, 2, 3, 3, 7.

Prime Factors of 1008
2, 2, 2, 2, 3, 3, 7
Prime Factor Tree of 1008
 1008  2 504  2 252  2 126  2 63  3 21  3 7

1008 is divisible by the prime number 2 which results in 504. The same step can be applied 3 more times and the resultant value will be 63. Continuing, the number 63 is divisible by prime number 3 and the result after division will be 21. The same step can be applied 1 more time and the resultant value will be 7. The result 7 cannot be divided any further as it is a prime number. Hence the prime factors of 1008 are 2, 2, 2, 2, 3, 3, 7.