210k views
24 votes
Write 1,386 as the product of its prime factors.

2 Answers

10 votes

Answer: We know the prime factorization of a number is the representation of a number in terms of multiples of its factors. Now to simplify the above factorization by applying the exponent rule to make the prime factorization simplest. So, the correct answer is โ€œ $ \ 1386 = 2 \times {3^2} \times 7 \times 11 $ โ€.

Explanation:

Hope it helped you<3

User OmaymaS
by
3.7k points
5 votes

Answer:

. A prime factor of x is a prime number that divides x correctly (so that the rest is equal to 0). 1386 = 2*3*3*7*11 in our situation. This result can be obtained by dividing the number (1386) by 2, 3, 5, 7, 11, and so on. You utilise the result you get every time you successfully divide it by a prime number (beginning with 2) and try to divide it using the same approach. When you can no longer divide a number by a prime number, you go on to the next prime number and try to divide it by that number. Finally, you multiply the prime numbers by which you were able to divide your number.

Explanation:

User Afaq
by
3.2k points