In how many ways can 1200 be resolved into two factors?

In how many ways can 1200 be resolved into two factors?

(a)12

(b)18

(c)20

(d)10

Answer: 12

Explanation:

1200=12*100

=2*2*3*5*2*5*2

=2⁴5²3¹

Number of factors

=(4+1)(2+1)(1+1)

=5*3*2=30

Required number of ways=30/2=15

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