# What Are the Prime Factors of 63

What Are the Prime Factors of 63 – The factor of 63 is 1, 3, 7, 9, 21, and 63. And the Prime Factor of 63 is 3 & Factorization is 7 – 3 × 3 × 7 = 32 × 7. The factor of 63 is a number that divides 63 evenly. Below are all the factors of 63.

• Factors of 63: 1, 3, 7, 9, 21 and 63
• Negative Factors of 63: -1, -3, -7, -9, -21 and -63
• Prime Factors of 63: 3, 7
• Prime Factorization of 63: 3 × 3 × 7 = 32 × 7
• The sum of Factors of 63: 104

So, 1 is the smallest factor of 63, and 63 is the biggest factor of 63. And same negative number is a Negative factor of 63. Prime Factor is 3 & 7. The Prime Factorization of 63 is 7 – 3 × 3 × 7 = 32 × 7. The Factor in Pairs is (1, 63), (3, 21), and (7, 9). And total sum of the factor is 104.

Today we will discuss finding a factor of any number using prime factorization & Division methods.

## What Are the Factors of 63?

The factor of any number is that divide the main number fully without leaving any remainders. Here the factor of 63 is 1, 3, 7, 9, 21, and 63, which divide 63 fully. 63 is an odd composite number. It has more than 2 factors.

## How to Calculate the Factors of 63?

Let’s start finding the factor of 63, starting with the smallest number, 1.

Divide 63 by 12. If the reminder is 0, it is a factor of 63.

63 is not divided fully by an even number, so try only with an odd number.

• 63/3 = 21
• 3 × 21 = 63

Follow the same process, and finally, we get all factors of 63.

Proceeding similarly, we get:

• 1 × 63 = 63
• 3 × 21 = 63
• 7 × 9 = 63

The factor of 63 is 1, 3, 7, 9, 21, and 63.

## What Are the Prime Factors of 63

Prime factorization to define composite number products of its factors. To get a prime factor of any number, divide it by its smallest prime factor. In the case of 63, it is 3. 63/3 = 21, and follow this process till quotient 1. The prime factorization of 63.

• 63/1 = 63
• 63/3 = 21
• 63/7 = 9
• 63/9 = 7
• 63/21 = 3
• 63/63 = 1

## Factors of 63 in Pairs

The combination of two numbers given 63 or the final number when multiplied is called the pairs factor of that number.

63 is an odd number & its factor also will be an odd number
63 is a nonperfect square number so it will have an even number of factors.

## FAQ Factors of 63

### Write a list of the common factors of 63 and 62.

Factors of 63 = 1, 3, 7, 9, 21 and 63
Factors of 62 = 1, 2, 31, 62.
The common factor of 63 and 62 is 1.

### How do you find the factor of 63?

By Divide method explain above

### What are the positive pair factors for the number 63?

(1, 63), (3, 21), and (7, 9) are the positive pair factors of 63.

### What are the factors of 63?

Any number divide the 63 without vacating any remainder is a factor of 63. Factors 63 are 1, 3, 7, 9, 21, and 63.

### What does the prime factorization of 63 look like?

3 × 3 × 73 × 3 × 7 or 32 × 732 × 7 is the prime factorization of 63.

References – Byjus

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