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First, you have to find the number that is a multiple of 7. That number is 126 because 7 x 18 = 126. Then, you need to find the prime factorization. You can do that by starting with any factor pair of 126 and keep factoring the composite factors until all factors are prime.

126:

2 x 61

Since 2 and 61 are prime, that is the prime factorization of 126.

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Q: What is the prime factorization of the number in the list which is a multiple of 7 48 72 126?

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You can't have prime factorization without having a number to factor.

A prime factorization is the unique way to list any integer greater than 1 as a product of prime numbers. An example of the prime factorization of a composite number is 20=2*2*5 or 20=2^2*5. The prime factorization of a prime number is itself. e.g. 11=11.

Every member of that infinite list is different.

The prime factorization of 72 is 2 x 2 x 2 x 3 x 3 The prime factors of 72 are 2 and 3. Prime factorizations may contain repeated factors. When you list the factors, you only need to list them once.

it is easier to find the prime factorization because you do not have to keep multiplying over and over and over again!!!!

58=2*29; both 2 and 29 are prime, thus this is the prime factorization. In general, a prime factorization is a list of primes that comprise the number. For instance, 100: 100=2*50=2*2*25=2*2*5*5 => prime factorization is 2^2*5^2

Prime factorization is a list of all the primes that multiply to make the original number. Thus to find that number you just multiply all these numbers together. In this case we have 2, 2, 7 and 7, so multiply them together to get: 2x2x7x7 = 296. Therefore, 2x2x7x7 is the prime factorization of 296.

That's an infinite list.

72=2*2*2*9; 2, 2, 2,and 29 are all prime, thus this is the prime factorization. In general, a prime factorization is a list of primes that comprise the number. For instance, 100: 100=2*50=2*2*25=2*2*5*5 => prime factorization is 2^2*5^2

Prime factorisation of letters is not defined.

94 = 2 * 47

5 x 7 = 35

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