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Q: How do you express a number as the product of powers of its prime factors?

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24 = 23 x 31

It is: 23*31*51 = 120

120 = 2 * 2 * 2 * 3 * 5 Written as a product of powers is (2^3) * 3 * 5

There is no upper limit. For example, take the powers of 2: 1 has 1 factor (1), 2 has two factors (1, 2), 4 has 3 factors (1, 2, 4), 8 has 4 factors (1, 2, 4, 8), etc.; you can keep multiplying indefinitely by 2, to add one more factor.

The factors of 275 are: 1 5 11 25 55 275. The prime factors are: 52 x 11

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24 = 23 x 31

It is: 23*31*51 = 120

108 = 3 x 3 x 3 x 2 x 2

Exponents (powers) are just a way of notating repeated factors. The prime factorization of 72 is 2 x 2 x 2 x 3 x 3 The prime factorization of 72 is 2^3 x 3^2

225 = 32 x 52

24 = 23 x 3

As a product of its prime factors in exponents: 2^2 times 7^2 = 196

Even powers of prime numbers. Square numbers have an odd number of factors.

Implied powers are congress exercised powers which are not given explicitly by the constitution. While express powers are the powers which is given by the constitution.

When calculating the LCM of a set of numbers, firstly express each number as a product of its prime factors. 29 = 29 (it is a prime number) 145 = 5 x 29 The LCM is the product of the highest power of each prime factor which gives us 5 & 29. (Note : In this example we do not have powers such as 5³ or 29²) The Lowest (or Least)Common Multiple is therefore 5 x 29 = 145

It is the integral power of the number or the product of the number and variable(s). there is no special name.

Article I of the U.S. Constitution is where express powers are located.

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