what is the product of prime factors of 296?
What is the product of the prime factors of the number 296?
4 Answers
http://www.analyzemath.com/Calculators_3/prime_fac…
(2)(2)(2)(37)
product is 74.
Jan 16, 2025
The product of the prime factors of any number is the number itself. Take, for example, the number 36. It’s prime factors are 2, 2, 3 and 3. 2x2x3x3 (the product) =36.
If we are talking about UNIQUE prime factors, there is no general solution. But you gave me an idea, and I am working on whether that has an application or not. If it does, I’ll re-respond.
EDIT: Sorry, I didn’t address your specific example.
The prime factors of 296? It is divisibe by two (because it is an even number). So we have 2 x 148. 148 is also divisible by two, because it is also even. So we have 2 x 2 x 74. 74 is likewise even, so we have 2x2x2x37.
37 is prime. So the prime factorization of 296 is 2x2x2x37. If you multiply those prime factors together (2x2x2x37), you get 296.
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