# Factors of 62

The factors of 62 are the numbers that divide evenly into 62. There are only four factors of 62: 1, 2, 31, and 62 itself. The prime factorization of 62 is 2 × 31, which means that 62 is a composite number. Composite numbers are numbers that have more than two factors. The factors of 62 can be used to find the multiples of 62, which are the numbers that can be created by multiplying 62 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 62?

The method of calculating the factors of 62 is as follows. First, each number can be divided by one and by itself.

Consequently, 1 and 62 are the factors of 62.
By dividing a number by 1, 2, 3, 4… we can discover all its factors.

(i) 62 ÷ 1 = 62

This division gives the remainder 0 and so is divisible by 62. So please put them 1 and 62 in your factor list.

1, … 62

(ii) 62 ÷ 2 = 31

This division gives the remainder 0 and so is divisible by 30. So please put them 2 and 30 in your factor list.

1, 2 … 31, 62

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

So 1, 2, 31, and 62 are factors of 62.

### Factor pairs of 62

1 x 62 = 62
2 x 31 = 62

So, (1, 62) and (2, 31) are factor pairs of 62

### Factor pairs of -62

-1 x -62 = 62
-2 x -31 = 62

So, (-1, -62) and (-2, -31) are negative pair factors of 62

### Prime Factorization of 62

62 ÷ 2 = 31
31 ÷ 31 = 1

Therefore, 2 x 31 are Prime factorization of 62.

### Factor tree of 62

``````  62
/   \
2    31``````