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Get Answers to all your Questions
If the product of first 10 natural numbers is 2^a x 3^b x 5^c x 7^d then find a+b+c+d
Answers (1)
Prodcut of first natural numbers
1 x2x3x4x5x6x7x8x9x10 = 2x3x2x2x5x2x3x7x2x2x2x3x3x2x5
= 28 x 34 x 52 x 71 = 2a x 3b x 5c x 7d
a = 8, b =4, c =2 , d=1
a + b +c +d = 8 + 4 + 2 + 1 = 15
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