Labs / Mathematics
Prime Factorization
Type a whole number and press Split next, or click any highlighted circle, to break it into two factors. Keep going and the tree branches down to its prime leaves — the unique “prime fingerprint” that every integer greater than 1 is built from.
= 2² × 3 × 5divisors 12prime? noprimes found 0
What to try
- Factor 60 with “smallest factor” and then “largest factor” — do you reach the same prime leaves either way?
- Why does the strategy change the tree's shape but never the final list of primes?
- Try 64, then 128, then 256. What pattern shows up in the factorization and the divisor count?
- Can you find a number whose tree is just a single circle? What is special about it?
- Which number under 100 do you think has the most divisors? Test a few and watch the count.