Step 1 of 4 · Powers of a prime
pk = the prime p multiplied by itself k times.
Powers of 2:
Powers of 3:
Memorize a few: 2⁵ = 32 · 3⁴ = 81 · 5³ = 125 · 7² = 49
Step 2 of 4 · Express 32 in prime base
32
Divide by the smallest prime that fits, over and over. Count how many divisions until you reach 1.
Step 3 of 4 · Express 81 in prime base
81
Same approach — pick the prime that divides evenly. For 81 it's 3.
Count the divisions = the exponent. 4 divisions by 3 → 3⁴.
Step 4 of 4 · Your turn
16
Pick the prime-base form.
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Nice work!
You converted them all.