# Factors of 65

The factors of 65 are the numbers that divide evenly into 65. There are only four factors of 65: 1, 5, 13, and 65 itself. The prime factorization of 65 is 5 × 13, which means that 65 is a composite number. Composite numbers are numbers that have more than two factors. The factors of 65 can be used to find the multiples of 65, which are the numbers that can be created by multiplying 65 by one of its factors.

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Prime Numbers

A prime number is a whole number greater than 1 that can only be divided evenly by 1 and itself. Some examples of prime numbers include 2, 3, 5, 7, and 11. Prime numbers are important in mathematics as they are used in many mathematical formulas and algorithms, and are also used in the study of number theory.

Composite Numbers

A composite number is a whole number greater than 1 that can be divided evenly by a number other than 1 or itself. In other words, a composite number is not a prime number. Some examples of composite numbers include 4, 6, 8, 9, and 10.

## What are the factors of 65?

The method of calculating the factors of 65 is as follows. First, each number can be divided by one and by itself.

Consequently, 1 and 65 are the factors of 65.
By dividing a number by 1, 2, 3, 4… we can discover all its factors.

(i) 65 ÷ 1 = 65

This division gives the remainder 0 and so is divisible by 65. So please put them 1 and 65 in your factor list.

1, …. 65

(ii) 65 ÷ 3 = 5

This division gives the remainder 0 and so is divisible by 5. So please put them 3 and 5 in your factor list.

1, 3 …. 5, 65

(iii) Since we don’t have any more numbers to calculate, we are putting the numbers so far.

So 1, 5, 13, and 65 are factors of 65.

### Factor pairs of 65

1 x 65 = 65
3 x 5 = 65

So, (1, 65) and (3, 5) are factor pairs of 65

### Factor pairs of -65

-1 x -65 = 65
-3 x -5 = 65

So, (-1, -65) and (-3, -5) are negative pair factors of 65

### Prime Factorization of 65

65 ÷ 3 = 5
5 ÷ 5 = 1

Therefore, 3 x 5 are Prime factorization of 65.

### Factor tree of 65

``````  65
/   \
5    13``````