**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

=2^{4}5^{2}3^{1}

Number of factors

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

=5*3*2=30

Required number of ways=30/2=15

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