Question

express the following as a product of prime factors only? ​

Answer 1

Question number a:-

$196 \times 1800$

$= (7 \times 2 \times 7 \times 2) \times (3 \times 2 \times 3 \times 5 \times 5 \times 2 \times 2)$

$= {7}^{2} \times {2}^{2} \times {3}^{2} \times {5}^{2} \times {2}^{3}$$= {7}^{2} \times {3}^{2} \times {5}^{2} \times {2}^{5}$

Question number b:-

$225 \times 441$

$= (3 \times 3 \times 5 \times 5) \times (3 \times 3 \times 7 \times 7)$

$= {3}^{4} \times {5}^{2} \times {7}^{2}$

Question number c:-

$529 \times 1296$

$= 23 \times 23 \times 16 \times 81$

$= {23}^{2} \times {2}^{4} \times {3}^{4}$

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