Question

how many divisors of 9000 are even​

Answer 1

$\huge\star{\tt{\underline{\underline{\red{Answer}}}}}\star$

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9000 prime factorization

3² x 5³ x 2³

we know that

3² can be expressed as (${3}^{0}$ +3¹+3²) Three numbers

similarly

5³ can be expressed as (${5}^{0}$ + 5¹+5²) Four numbers

2³ can be expressed as (2¹+2²+2³) Three numbers

therefore,

no. of divisors can be found by

${\boxed{\tt{no. of constituents of the number}}}$

3 x 4 x 3

$\implies$ $\huge{\boxed{\boxed{36}}}$

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Answer 2

Refer to the attatchment!