If prime factorisation of a number is 2 x3, what is the prime factorisation of its cube?
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Answer:
The number of consecutive zeroes are two.
i.e.,
n = 2³×3²×5²×7
= 2×3²×7×(2×5)²
= 12600
Explanation :
Given a natural number n is
2³×3²×5²×7
To get the number consecutive zeroes we must find pairs of (2and 5 ).
Now , Rearranging the prime factors, we get
n = 2³×3²×5²×7
= 2×3²×7×(2²×5²)
= 2×3²×7× (2×5)²
= 2×3²×7×(10)²
= 2×3²×7×(100)
Or
= 12600
Therefore,
The number of consecutive zeroes are two.
i.e.,
n = 2³×3²×5²×7
= 12600
••••
Step-by-step explanation:
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