what is prime factorization in math definition?
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Prime Factorization. "Prime Factorization" is finding which prime numbers multiply together to make the original number.
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The prime factors of a number are all the prime numbers that, when multiplied together, equal the original number. You can find the prime factorization of a number by using a factor tree and dividing the number into smaller parts.
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Factor, in mathematics, a number or algebraic expression that divides another number or expression evenly—i.e., with no remainder. For example, 3 and 6 are factors of 12 because 12 ÷ 3 = 4 exactly and 12 ÷ 6 = 2 exactly. ... The prime factors of a number or an algebraic expression are those factors which are prime.
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Answer and Explanation: The prime factorization of 90 is 2 × 3 × 3 × 5. Finding the prime factorization of a number x can be done using factor trees to...
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315 is a composite number. The exponents in the prime factorization are 2, 1, and 1. Adding one to each and multiplying we get (2 + 1)(1 + 1)(1 + 1) = 3 x 2 x 2 = 12.
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Prime numbers are numbers that have only 2 factors: 1 and themselves. For example, the first 5 prime numbers are 2, 3, 5, 7, and 11. By contrast, numbers with more than 2 factors are call composite numbers.
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The number 30 can be written in prime factorization as 2 x 3 x 5. All of the factors are prime numbers. Using exponential form, 30 = 213151, indicating that there is one 2, one 3 and one 5 multilplied together to get the result of 30.
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Answer and Explanation: The prime factorization of 11 is 1 × 11. The number 11 is a prime number, because its only factors are 1 and itself.
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10 is a composite number. 10 = 1 x 10 or 2 x 5. Factors of 10: 1, 2, 5, 10. Prime factorization: 10 = 2 x 5.
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A prime number can only be divided by 1 or itself, so it cannot be factored any further! Every other whole number can be broken down into prime number factors. It is like the Prime Numbers are the basic building blocks of all numbers.
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The factors of a number are numbers that evenly divide into it. A prime factor is a factor that is only divisible by 1 and itself. You can use a factor tree to help you find a number's prime factorization.
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Factors of 80: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80. Prime factorization: 80 = 2 x 2 x 2 x 2 x 5 which can also be written 80 = 2⁴ x 5.
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Alternatively, the gcf of 9 and 10 can be found using the prime factorization of 9 and 10: The prime factorization of 9 is: 3 x 3. The prime factorization of 10 is: 2 x 5. The prime factors and multiplicities 9 and 10 have in common are: 1.
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Weegy: The prime factorization of 1,260 is 2*2*3*3*5*7.
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When n is a prime number, the prime factorization is just n itself, written in bold below. The number 1 is called a unit. It has no prime factors and is neither prime nor composite.
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A prime factor of a number is just a factor of that number that is also prime. So, 12 has six factors -- 1, 2, 3, 4, 6, and 12 -- but only two of them (2 and 3) are prime, so it has only two prime factors.
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Prime numbers are the numbers which have only two factors i.e., 1 and the number itself. For example: 2, 5, 7, etc. These numbers have only two factors 1 and the number itself. Odd numbers are those which are not divisible by 2, i.e., the remainder is never zero for odd numbers when they are divided by 2.