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Prime Factorization Calculator — Factor Tree & Prime Decomposition

Break any integer into its unique prime factors with an interactive factor tree. Detects perfect squares, cubes, and handles numbers up to one million.

✓ Formula verified: May 2026

Prime Factors

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Prime Factorization
2^3 × 3^2

Prime Factors

2, 3

Prime Factors (with multiplicity)

5

Factor Tree Data

[{"value":72,"left":{"value":2,"isPrime":true},"right":{"value":36,"left":{"value":2,"isPrime":true},"right":{"value":18,"left":{"value":2,"isPrime":true},"right":{"value":9,"left":{"value":3,"isPrime":true},"right":{"value":3,"isPrime":true}}}}}]

What if your number changes? 64.8 → 2^6 · 72 → 2^3 × 3^2 · 79.2 → 79

Scenario Comparison

Conservative (5%)
$16,470.09
$6,470.09 interest
Your scenario (7%)
$20,096.61
$10,096.61 interest
Aggressive (10%)
$27,070.41
$17,070.41 interest
High-risk (14%)
$40,224.71
$30,224.71 interest
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Factor Tree

Prime Factorization

2^3 × 3^2

72 = 2^3 × 3^2

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