Math  /  Numbers & Operations

QuestionBookwork code: 2D Calculator
Write 24×6024 \times 60 as a product of its prime factors in index form.

Studdy Solution
Express the prime factorization in index form.
Count the number of times each prime factor appears:
- The factor 2 2 appears 5 5 times. - The factor 3 3 appears 2 2 times. - The factor 5 5 appears 1 1 time.
Thus, the prime factorization of 1440 1440 in index form is:
1440=25×32×51 1440 = 2^5 \times 3^2 \times 5^1
The prime factorization of 24×60 24 \times 60 in index form is:
25×32×5\boxed{2^5 \times 3^2 \times 5}

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