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meriva
2 years ago
5

Express 120 as a product of its prime factors.

Mathematics
2 answers:
kolezko [41]2 years ago
8 0
120 = 2 x 2 x 2 x 3 x 5 or 120 = 2^3 x 3 x 5
raketka [301]2 years ago
7 0
By the Fundamental Theorem of Arithmetic, all number can be expressed as a product of prime numbers.

So naturally, lets divide 120 by an easy prime number.
We know that 120 is even, so lets try 2 120/2 = 60 lets keep dividing it by two until it becomes odd or prime 60/2 = 30 30/2 = 15 now lets see, what are some factors of 15?

Well the obvious ones are 3 and 5, both of which are prime. So now we can just count up how many times we divided it by 2
 
120/2 = 60 60/2 = 30 30/2 = 15 and 15 is just 3 x 5, so: <span>
120=(<span>23</span>)×(3)×(5)</span>
or <span><span>
120 = 2 × 2 × 2 × 3 × 5</span></span>
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