In how many ways can 1500 be resolved into two factors?

In how many ways can 1500 be resolved into two factors?

(a)12

(b)18

(c)20

(d)10

Answer: 12

Explanation:

1500=2*750

=2*2*3*5*5*5=2²5³3¹

Number of factors

=(2+1)(3+1)(1+1)

=3*4*2=24

Required number of ways=16/2=8

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