Question

3.
To which number must 89 be multiplied to give 38,003 ?
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Answer 1

Answer:

We are going to find out prime factors of 3675

3675=3×1225

=3×5×245

=3×5×5×49

=3×5×5×7×7

By grouping the prime factors for 3675

=(5×5)×(7×7)×3

By observation, prime factor 3 is left out.

So, multiply by 3 we get,

3675×3 =(5×5)×(7×7)×(3×3)

=(5×7×3)×(5×7×3)

=105×105

=(105)

2

11025=(105)

2

11025

=105

Hence, the number by which 3675 must be multiplied so that the product is perfect square is 3.

Hence the sum will be 105+3=108

Answer 2

Answer:

89×427=38003

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