Factoring and Multiples
Prime Numbers

# What is the prime factorization of 5184?

123

5,184 = 2 * 2 * 2 * 2 * 2 * 2 * 3 * 3 * 3 * 3 OR 2^6 * 3^4

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## Related Questions (a) what is the prime factorization of 5184 using exponents? (b)Use the answer (a) to find the square root of 5184 Cut 5184 in half six times, then divide that number by 3 four times. 180-60x3,10x6,5x2,2x3252-126x2,2x63,9x8,3x3,4x2,2x25x2x2x3x3x2x3x3x2x2x2x2=5184  As a product of its prime factors in exponents it is: 26*34 = 5184 Yes. 72 x 72 = 5184. You use prime factorization. The prime factorization of 5184 is 2^6 x 3^4 or 2^2 x 2^2 x 2^2 x 3^2 x 3^2 Take the square root = 2 x 2 x 2 x 3 x 3 = 72 Small note: ^ indicates a power. As a product of its prime numbers in exponents: 26*34 = 5184 You get a prime factorization by figuring out the factors of the number and then figuring out the factors of those numbers. If the number is prime there is no prime factorization. prime factorization. Prime Factorization of 22 is a prime number, so it does not have a prime factorization. The prime number is the prime factorization. For example, the prime factorization of the prime number 3 is 3. Get it? Prime Factorization of 86The prime factorization of 86 is:2 X 43Both numbers are prime, so that is the prime factorization of 86. The prime factorization of 91 is 13 x 7 They are both prime so its a prime factorization Prime Factorization of 3131 is a prime number, so there is no prime factorization of it.It is 31 because it is a prime number When all the factors are prime numbers, that's a prime factorization. Find the prime factorization of 16.The prime factorization of 16 is: 2x2x2x2. 81 is not prime. Its prime factorization is 3x3x3x3. prime factorization is the factorization of numbers how do i get the prime factorization of 45      The prime factorization is... 2x2x2x2x2x5x5 Yes. Any prime number greater than 100 has only itself in its prime factorization. Examples: The prime factorization of 101 is 101. The prime factorization of 109 is 109. The prime factorization of 127 is 127. The prime factorization of 311 is 311. The prime factorization of 691 is 691.

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