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GB-09-01-001 · Prime factorisation

Express 480 as a product of prime factors in index form.

Product of Prime Factors (Factor Tree) Booklet p. 42
Method
1) Split number using a factor tree, circling prime numbers (2, 3, 5, 7, 11, ...)
2) Write as a product of primes in index notation
Worked Example (GB-09-01-001)
1)
Split composite numbers until all leaves are prime (circled):
480
2
240
2
120
2
60
2
30
2
15
3
5
2)
480=2×2×2×2×2×3×5480=2\times2\times2\times2\times2\times3\times5
3)
Collect repeated prime factors into index form.
Ans = 25×3×52^{5}\times 3\times 5