Why 124 equals 2231 is a prime factor with example?

Answer 1

Unfortunately, the question doesn't make sense, but I shall try to answer it anyway.

124 is not even a factor of 2231, let alone a prime factor. A prime factor must, by definition, be a Prime number, and the only even prime number is 2. Therefore, 124 cannot be a prime factor of any number.

2231 is, in fact, a composite number, with factors 23 and 97, which are both prime. That is to say, 23 x 97 = 2231. Meanwhile, 2231 is very nearly divisible by 124, as 2232 is equal to 18 x 24.

If a number is prime, it has no factors other than itself and 1. (That is essentially the definition of a prime number.) So, for example, 17 is a prime number because it can't be divided exactly by any numbers other than itself and 1. By contrast, 2047 is composite, because 23 x 89 = 2047.

You may have heard of the fundamental theorem of arithmetic, which states that every whole number (integer) greater than 1 can be expressed as a unique product of prime numbers. The order of the factors is considered insignificant. Thus, for example, the number 6 can be expressed as 2 x 3 or 3 x 2, and these two expressions are considered equivalent, as the ordering makes no difference to the simple fact that 6 has two prime factors: 2 and 3.

The number 2232 can be expressed as 2 x 2 x 2 x 3 x 3 x 31. This is a unique prime factorization. No other combination of primes can equal 2232.

Grouping equal factors together, we can also write 23 x 32 x 31 = 2232, but this is a change only of notation. The factors remain the same as before. We could also express 2232 as 124 x 18, but here the factors are not prime factors, but composite factors.

I suggest you look up "prime numbers" in Wikipedia or elsewhere.

I apologize if I have stated the obvious here and there. Your question leaves me with no indication of how much or how little you know. I recommend that you find a mother-tongue English speaker to help you with any other questions you may wish to ask.