Without knowing what the product is, it will be difficult to help. Presumably, you can tell the difference between even and odd numbers. If you are trying to predict, the product of two evens is even, the product of two odds is odd and the product of an even and an odd is even.
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No. 2 is a Prime number, and any product of 2 and another prime number will be even.
Any two that are relatively prime.
Any pair of prime or relatively prime numbers.
All composite numbers can be expressed as unique products of prime numbers. This is accomplished by dividing the original number and its factors by prime numbers until all the factors are prime. A factor tree can help you visualize this. Example: 210 210 Divide by two. 105,2 Divide by three. 35,3,2 Divide by five. 7,5,3,2 Stop. All the factors are prime. 2 x 3 x 5 x 7 = 210 That's the prime factorization of 210.
Co-prime numbers, relatively prime numbers and any set of prime numbers.
Yes, the least common multiple (LCM) of a prime number and a composite number will always be a multiple of the prime number. This is because the LCM is the smallest number that is a multiple of both numbers. Since the prime number is a factor of itself and the LCM is a multiple of both numbers, the LCM will always be a multiple of the prime number.