What is the prime factorization of 26244 using exponents?

What is the prime factorization of 26244 using exponents?

The prime factorization of 26,244 is 22 × 38. Since it has a total of 10 prime factors, 26,244 is a composite number.

What is the greatest prime factor of 48?

Factors of 48 are the list of integers that can be evenly divided into 48. It has a total of 10 factors of which 48 is the biggest factor and the prime factors of 48 are 2 and 3. The Prime Factorization of 48 is 24 × 3.

What is the prime factorization with exponents of 12?

Prime factorization is the breaking down of a number into the prime numbers that multiply to the original number. For example, the prime factorization of 12 is 2 * 2 * 3. We can add exponents when we have the same prime number occurring more than once. So, the prime factorization of 12 can also be written as 22 * 3.

What is the prime factorization of 137592?

solution : first find prime factors of 137592. here it is clear that when we multiply 137592 by the number 7 × 13² we get, 2³ × 3³ × 7² × 13 × 7 × 13² = (2 × 3 × 7 × 13)³ ⇒a perfect cube.

Is 26244 a perfect cube?

Grade 9. 26244 = 2×2×3×3×3×3×3×3×3×3. So, 2x2x 3x 3 = 36 is the smallest number by which 26244 must be divided so that the quotient is a perfect cube.

What is the prime factorization theorem?

This theorem states that natural numbers greater than 1 are either prime, or can be factored as a product of prime numbers. As an example, the number 60 can be factored into a product of prime numbers as follows: 60 = 5 × 3 × 2 × 2

How do you do prime factorization with a factor tree?

Prime decomposition: Another common way to conduct prime factorization is referred to as prime decomposition, and can involve the use of a factor tree. Creating a factor tree involves breaking up the composite number into factors of the composite number, until all of the numbers are prime.

What is the prime factorization of 90 using exponents?

The prime factors of 10 are 2 and 5 So the prime factors of 90 are 3, 3, 2 and 5

How do you find the smallest prime factorization?

1 Divide the given number by the smallest prime number. In this case, the smallest prime number should divide the number exactly. 2 Again, divide the quotient by the smallest prime number. 3 Repeat the process, until the quotient becomes 1. 4 Finally, multiply all the prime factors