FAST Prime Factorization (5-digit number)

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You can use short division repeatedly to quickly find all the prime factors of a LARGE number.

2 speed keys to fast prime factorization:
• knowing your tables
• being able to choose suitable prime divisors (rules of divisibility)

This demo takes you through my thinking through the prime factorization of 76,230.
How to choose prime divisors (rules of divisibility) 2, 3, 5 and 7 are shown and described.

Answer shown by simple factor listing (axbxb etc),
and using exponential notation.