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If p1x1 x p2x2 x p3x3 x p4x4 = 113400 where p1,p2,p3,p4 are primes in ascending order and x1, x2, x3, x4, are integers, find the value of p1,p2,p3,pand x1, x2, x3, x4.

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Given 113400 = p1x1 x p2x2 x p3x3 x p4x4

Using tree method factorize 113400

113400 = 23 × 34 × 52 × 7

Compare with

113400 = p1x1 x p2x2 x p3x3 x p4x4

P1 = 2, x1 = 3

P2 = 3, x2 = 4

P3 = 5, x3 = 2

P4 = 7, x4 = 1

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