write the factors of 65
Answers
The factors of 65 are 1, 5, 13, and 65. As the number 65 is an odd composite number, all of its factors will also be odd.
Answer
The factors of 65 are 1, 5, 13, and 65.
Explain
Let us begin calculating the factors of 65.
We start with the number 1.
Divide 65 with 1. Is the remainder zero?
Yes! By factor definition, the number 65 is divided equally by 1 without leaving a remainder.
65 ÷ 1 = 65
65 × 1 = 65
Next, let's try the number 2. Since 65 is an odd number, it cannot be divided by 2 or multiples of 2. Hence, we need to check odd numbers only. Let's try with number 3.
65 ÷ 3 = 21.66
Therefore, 3 is not a factor of 65.
Now, let's try with number 5.
- 65 ÷ 5 = 13
- 5 × 13 = 65
Prime factorization is the process of breaking down a composite number into its prime factors.
To get the prime factorization of 65, we divide it by its smallest prime factor which is 5.
65 ÷ 5 = 13
13 is a prime number whose factors are 1 and 13.
The process of prime factorization goes on till we get the quotient as 1.
The prime factorization of 65 is shown below:
