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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

Prime factors are just going to be the lowest factors that go into that number. Often times they repeat.I'll bold the factors we come up with as we go.108 is an even number so start by dividing it by 2:108 / 2 = 5454 is also even:54 / 2 = 2727 is divisible by 9, which means it is also divisible by 3:27 / 3 = 99 is divisible by 3:9 / 3 = 3We are left with the remaining prime factor, 3:Gather all the prime factors:2, 2, 3, 3, 3Take the product of them:2 x 2 x 3 x 3 x 3 = 108Most of the time, you would express this with powers, although both answers are legit.:22x 33= 108The answer is 2 x 2 x 3 x 3 x 3 = 22x 33= 108

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.

Related questions

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

24 = 23 x 3

225 = 32 x 52

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.

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.

The decomposition of a number into its various powers of its prime factors

The express powers are those that are specifically mentioned in the Constitution. The express powers include declaring war, raising a Navy, and authorizing the printing of money.

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

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