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To find the prime factorization of 360, we can divide it by the smallest Prime number, which is 2.
- (360 \div 2 = 180)
- (180 \div 2 = 90)
- (90 \div 2 = 45)
- (45 \div 3 = 15)
- (15 \div 3 = 5)
- (5 \div 5 = 1)
Thus, the prime factorization of 360 is (2^3 \times 3^2 \times 5^1).
What else can I help you with?
What are the prime numbers for 360?
The prime factorization of 360 is 2x2x2x3x3x5, or 23x32x5 in exponential form.
What is the prime factorization in exponent form of 360?
360 = 23 x 33 x 51
What is the prime factorization number of 360?
360 = 2 * 2 * 2 * 3 * 3 * 5
How do i write a 360 as a product of prime factors give your answer's in index notation?
To write 360 as a product of prime factors, first, perform its prime factorization. Start by dividing 360 by the smallest prime number, 2: (360 ÷ 2 = 180), (180 ÷ 2 = 90), (90 ÷ 2 = 45). Next, divide 45 by the next smallest prime number, 3: (45 ÷ 3 = 15), (15 ÷ 3 = 5). Finally, 5 is a prime number itself. Thus, the prime factorization of 360 is (2^3 \times 3^2 \times 5^1).
What is the LCM and gcf of 18 and 360?
Product of two numbers a and b = LCM(a,b) x GCF(a,b)...(1)Here, product of 18 and 360 = 6480Now, we shall find GCF of 18 and 360 by using the method of prime factorization.Prime factorization of 18 = 2x3x3Prime factorization of 360 = 2x2x2x3x3x5It is clear from the prime factorization that gcf = 18Now using (1) we can find LCM:LCM(18,360) = Product of 18 and 360/GCF(18,360) = 6480/18 = 360So, LCM and GCF of 18 & 360 is 360 and 18.Also, it is important to note that 360 is divisible by 18 then GCF is 18 and LCM is 360.
What is the prime factorization of 360 using exponents in math?
The prime factorization of 360 is 23 x 32 x 5.
What is the prime factorization for 360?
The prime factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5 = 360
What are the prime numbers for 360?
The prime factorization of 360 is 2x2x2x3x3x5, or 23x32x5 in exponential form.
What is the number with a prime factorization of 2x2x2x3x3x5?
2x2x2x3x3x5 = 360
What are the prime factorization for 360?
360 = 23 x 32 x 5
What is the prime factorization of 360 in exponential form?
360=2^3x3^2x5
What is the prime factorization in exponent form for 360?
23 x 32 x 5 = 360
What is the prime factorization in exponent form of 360?
360 = 23 x 33 x 51
What is the prime factorization for 360 using exponents?
23 x 32 x 5 = 360
What is the prime factorization number of 360?
360 = 2 * 2 * 2 * 3 * 3 * 5
What has 2x2x3x2x3x5 as a prime factorization?
2 x 2 x 2 x 3 x 3 x 5 is the prime factorization for 360.
Write the prime factorization of 360 using exponents?
23 x 32 x 5 = 360
