First off, since 48 is even, you know that it's divisible by 2. Indeed, 48/2 = 24. 24 is also even, and so is also divisible by 2; 24/2 = 12. The same goes for 12; 12/2 = 6, and also for 6; 6/2 = 3, which is a Prime number. Since all of our factors are now either 2 or 3, both of which are prime, we're done. Because we divided by 2, 4 separate times, there are four multiples of 2, as well as one multiple of 3, in the prime factorization of 48, which would usually be written as 24 X 3.
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The prime factorization of 48 is 2x2x2x2x3, or 24x3 in exponential form.
24 x 3 = 48
24*3
2^4 x 3 = 48
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.