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48x10

2x24x2x5

2x2x12x2x5

2x2x2x2x3x2x5

=25x3x5

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Q: What is the prime factorization of 480 using exponents?
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Related questions

What is the prime factorization using exponents for 480?

25 x 3 x 5 = 480


What is the prime factorization of 480?

The prime factors of 480 are 2, 5 and 3: 2^5 * 5 * 3 = 480


What is the factorization for the number 480 using a factor tree?

480 240,2 120,2,2 60,2,2,2 30,2,2,2,2 15,2,2,2,2,2 5,3,2,2,2,2,2


What Prime factorization of 480?

2 x 2 x 2 x 2 x 2 x 3 x 5 = 480


What the prime factorization of 480?

480 = 2 x 2 x 2 x 2 x 2 x 3 x 5 or 25 x 31 x 51


What is the prime factorization for 480?

480 = 2 x 2 x 2 x 2 x 2 x 3 x 5 or 25 x 31 x 51


What is the prime factorization 480?

480 = 2 x 2 x 2 x 2 x 2 x 3 x 5 or 25 x 31 x 51


What is the complete factorization for the number 480?

480 = 25*3*5


What isthe Prime Factorization of 480?

480 = 2 x 2 x 2 x 2 x 2 x 3 x 5 OR 25 x 31 x 51


How do you use factorization for the number 480 using a factor tree?

480 /\ 48 10 /\ /\ 8 6 /\ 5 2 /\ 4 2 /\ 3 2 /\ 2 2


How do you write the prime factorization of 480?

2 x 2 x 2 x 2 x 2 x 3 x 5


What is the least common multiple of 108 and 480?

The least common multiple (LCM) of two numbers is the smallest positive integer that is divisible by both of these numbers. To find the LCM of 108 and 480, we can use different methods, such as prime factorization, listing multiples, or using the greatest common divisor (GCD). Here, I will explain the LCM using the prime factorization method: Prime Factorization: First, find the prime factors of both numbers: 108 = 2^2 × 3^3 480 = 2^5 × 3 × 5 Then, for each prime number, take the highest power found in both factorizations: For 2, the highest power is 5 (from 480). For 3, the highest power is 3 (from 108). For 5, the highest power is 1 (from 480). Multiply these highest powers of all prime factors to get the LCM: LCM = 2^5 × 3^3 × 5 = 32 × 27 × 5 = 4320 The least common multiple of 108 and 480, therefore, is 4320, indicating the smallest number into which both 108 and 480 can divide evenly. This concept is particularly useful in solving problems involving fractions, multiples, and periodic events in mathematics.