what isthe prime factorization of 43

Question

find thefactorization of each number ...........43,57,78,108,59,and 69.

Answer 1

I find the easiest is to trial divide by primes, starting at 2, 3, 5, 7 and so on.

• 43 is Prime - it only has factors of 43 and 1
• 57 = 3 x 19
• 78 = 2 x 3 x 13
• 108 = 2 x 2 x 3 x 3 x 3
• 59 is Prime - it can only 59 and 1
• 69 = 3 x 23

You can visualize the above numbers and their prime factors at stats fiddle: http://statsfiddle.info/Primes/SieveOfEratosthenes/40