Five marks exercise problems II — task. Mathematics State Board, Class 10.

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1. If

{p_{1}}^{x_{1}} \times {p_{2}}^{x_{2}} \times {p_{3}}^{x_{3}} \times {p_{4}}^{x_{4}}

\(=\) 113400 where

p_{1}, p_{2}, p_{3}, p_{4}

are primes in ascending order and

x_{1}, x_{2}, x_{3}, x_{4}

are integers, find the value of

p_{1}, p_{2}, p_{3}, p_{4}

and

x_{1}, x_{2}, x_{3}, x_{4}

p_{1} = i, p_{2} = i, p_{3} = i, p_{4} = i

x = i, x_{2} = i, x_{3} = i, x_{4} = i

2. Find the LCM and HCF of \(408\) and \(170\) by applying the fundamental theorem of arithmetic.

LCM \(=\)

HCF \(=\)

3. Find the greatest number consisting of \(6\) digits that is exactly divisible by \(24\), \(15\) and \(36\).

The greatest number \(=\)

Did you find an error?

5. Five marks exercise problems II