Factors of a number are the integers that divide it completely without leaving a remainder. In the case of 71, we look at all the numbers that can divide 71 perfectly. Being a prime number, 71 has a unique factorization. Letâ€™s explore the factors of 71, its factor pairs, prime factorization, and the factor tree to understand it better.

## Factors Calculator

## What are the Factors of 71?

Since 71 is a prime number, it only has two factors: 1 and 71. This means that only these two numbers can divide 71 exactly.

Factors of 71: 1, 71

### Factor Pairs of 71

Factor pairs are the pairs of numbers that, when multiplied together, give the original number. For 71, there is only one factor pair.

Factor Pairs of 71: (1, 71)

### Prime Factorization of 71

Prime factorization is the process of breaking down a number into its prime factors. Since 71 is already a prime number, its prime factorization is simply the number itself.

Prime Factorization of 71: 71

### Factor Tree of 71

A factor tree helps visualize the breakdown of a number into its prime factors. For 71, the factor tree is straightforward because it cannot be split further.

### Factor Tree of 71

71 (prime number)

Since 71 cannot be broken down further, the factor tree is complete with 71 as a single node.

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