Write the exponent of 2 in the price factorization of 144.
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Factor of a number : If a number divides another number without leaving any reminder then the number which divides is called the factors of the number that has been divided.
E.g : 1, 2, 3, 6, 12 are the factors of 24.
FACTOR TREE :
A chain of factors which is represented in the form of a tree, called factor tree.
SOLUTION :
To express 144 as a product of its prime factors from a factor tree.
Given number : 144
Then, factor tree of 144 is given in the ATTACHMENT.
Therefore , 144 = 2 × 2 × 2 × 2 × 3 × 3 = 2⁴ × 3²
Hence, the exponent of 2 the prime factorization of 144 is 2⁴ .
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144 = 2*2*2*2*3*3
= 2^4 * 3^2
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