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In the factor tree shown, the circled numbers are primes. Find the value of $x$ .

Class 10Fundamental Theorem of ArithmeticNumber Systems

A546
B273
C91
D25

Step-by-Step Solution

z = 7 \times 13 = 91, y = 3 \times 91 = 273, x = 2 \times 273 = 546

. So

x = 2 \times 3 \times 7 \times 13 = 546

. (273 is

y

, 91 is

z

, and 25 is the sum of the primes.)

Answer: A) 546

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