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1. The given statement is true.

   If a has n distinct prime factors and b has m distinct prime factors and n>m, then ab has at least n and at most n m distinct prime factors.

   Prime factorization is a manner of expressing various as fabricated from its prime factors. A high number is a variety that has preciseness elements, 1 and the variety itself. As an example, if we take the number 30. We recognize that 30 = 5 × 6, however, 6 isn’t always a prime factor.

   To show whether more than a few is a top wide variety, first attempt dividing it by 2, and see if you get an entire variety. If you do, it can not be a prime number. In case you don’t get an entire number, subsequent attempt dividing it through prime numbers: 3, 5, 7, 11 (nine is divisible via three) and so forth, constantly dividing by way of a top wide variety.

   Every prime range can be written within the shape of 6n + 1 or 6n – 1 (except the multiples of high numbers, i.e. 2, 3, five, 7, eleven), where n is a herbal variety. To realize the prime number extra than 40, the below formulation may be used.

   Learn more about prime factors here: https://brainly.com/question/1081523

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