• Math tutors
• /
• Knowledge Base
• /
• Factors of 64 – Definition With Examples

Factors of 64 – Definition With Examples

Camille Ira B. Mendoza

Updated on January 7, 2026

Want to know everything about factors of 64, but it seems like a difficult topic? This Brighterly guide will explore what numbers go into 64, provide step-by-step instructions for finding them, and offer practice problems. Clear examples and short explanations will help you understand the topic quickly and easily.

Definition of factors

The factors of a number are whole numbers that can be multiplied together to produce the original number. Also, factors divide numbers without leaving any remainder.

As an example: 2 × 32 = 64

The factors 2 and 32 in this case are 64 factored, because:

• The result is 64 when multiplied together
• Both are divided equally into 64

It’s also possible to say that a number is a factor of a product when two or more numbers are multiplied together. It is beneficial to understand all factors, not only 64 factors, to:

• Identifying the most common factors (GCF)
• Fraction reduction
• Using multiples and divisibility to work
• Developing multiplication and division fluency

Imagine building a LEGO tower with 64 blocks; the factors of 64 would represent the different ways you could layer those blocks equally.

What are the factors of 64?

The factors of 64 are 1, 2, 4, 8, 16, 32, and 64 itself. 64 has both positive and negative factors. By multiplying factors of 64, we get 64. A factor pairs of 64 is (8, 8), (2, 32), (4, 16), and (1, 64). We can find prime factors for 64. The number has a minimum factor of 1 and a maximum factor of 64, as well as two prime factors of 2 x 2 x 2 x 2 x 2 or 26. This article explains what factorization of 64 is, how to find factorizations of 64, and some examples based on it.

Math tutors

Join Brighterly for personalized lessons for your child

Meet the best tutors for interactive math learning.

Book free lesson

How to find all the factors of 64?

There are two methods for resolving the factors of 64:

Multiplication method for factoring 64

The multiplication method can be used to find the factors of 64 by pairing two factors whose multiplicative power equals 64. Let’s see what multiplies to 64 gets:

1. To begin with, let’s multiply 1 by 64: 1 × 64 = 64
2. In the following step, 2 and 32 will be added together: 2 × 32 = 64
3. Next, we have 4 and 32: 4 × 16 = 64
4. Lastly, we have 8 with 8: 8 x 8 = 64.

As a result, the factors 64 are 1, 2, 4, 8, 16, 32, and 64, as shown by multiplication.

Division method 

This method helps us to find the 64 factors by dividing numbers. We will use 1 as a start point:

1. Let’s begin with 1: 64 ÷ 1 = 64
2. Then divide 64 by 2: 64 ÷ 2 = 32
3. Dividing 64 by 4 gives us 64 ÷ 4 = 16
4. In the end, divide 64 by 8: 64 ÷ 8 = 8

By the Division method, 64 has factors 1, 2, 4, 8, 16, 32, and 64.

 How many factors does 64 have?

64 has 7 factors:

• 1,
• 2,
• 4,
• 8,
• 16,
• 32,
• 64.

All of the numbers above can be divided by 64 with no remainder. Look at some examples. 

• 2 x 32 = 64 
• 8 x 8 = 64
• 4 x 16 = 64.

Prime factors of 64 explained

As a product of its prime factors, 64 is represented as its prime factorization. As such, 64 prime factorization of six prime numbers, each of which is two. It may be written as a product of six prime numbers.

What are the prime factors of 64

While exploring what is the prime factorization of 64 is, we have seen that 64 has the following prime factorization:

64 = 2 × 2 × 2 × 2 × 2 × 2 or 26

Thus, 64 has a prime factor of 2 raised to the power of 6 or 26.

Factors of 64 in pairs

In factor pairs of 64, two integers are multiplied together to provide the original 64. This process will be based on 64 pairs of positive and negative factors.

64 positive factor pairs

Similarly, we can also find the factors of -64, which are just the negative counterparts of the positive factors: -1, -2, -4, -8, -16, -32, -64.

Negative factors of 64

Below you will find a list of 64 positive factor pairs

Multiples of 64 & factors

Children can be confused between factors and multiples, but the idea is actually quite simple.

Solved examples on factors of 64

Example 1: What goes into 64 factors and 32? (common factors) 

Solution:
Find the factors of both numbers:
For  32, the factors are 1, 2, 4, 8, 16, 32

For 64, the same, plus 64 itself.

Example 2: Calculate 64 by multiplying its prime factors.

Solution: To solve this, we need to break 64 into prime factors:
64 = 2 × 2 × 2 × 2 × 2 × 2

Example 3: Sum up all factors of 64?

Solution: We need to add all factors 64, they are: 1, 2, 4, 8, 16, 32, 64

If we sum them up, we receive 127

Example 4: Which pair of numbers do you need to multiply to receive 64 in the result?

Solution: All the factor pairs give 64 in the result:

Practice questions on factors of 64

1. How many positive factors does 64 have?
   1. 4
   2. 5
   3. 8
   4. 7

2. Which of the following sets lists only factors of 64?

1. 1. 1, 4, 6, 10, 34, 62
   2. 2, 6, 8, 12, 32, 64
   3. 2, 4, 8, 14, 34, 62
   4. 1, 2, 4, 8, 16, 32, 64

3. If (a, b) is a factor pair of 64 and a < b, which pair is correct?
   1. 6, 4
   2. 2, 32
   3. 1, 32
   4. 16, 4

4. Which statement about the prime factorization of 64 is true?

1. 1. There are exactly four prime factors in it.
   2. All exponents in its prime factorization add up to 6.
   3. It has both two and four prime factors.
   4. We can write it as 23 × 4.

5. What number has the same number of positive factors as 64?
   1. 32
   2. 48
   3. 72
   4. 36

Frequently Asked Questions on Factors of 64

What are factors of 64?

For 64, the factors are 1, 2, 4, 8, 16, 32, and 64. These numbers can be multiplied collectively to create the product 64.

What are all the factors of 64?

The set of divisors for 64 consists of the integers 1, 2, 4, 8, 16, 32, and 64. There are positive and negative factors of 64.

What are the prime factors of 64?

The prime factors of 64 come from breaking it down into only prime numbers. Since 64 equals 2 × 2 × 2 × 2 × 2 × 2, its prime factorization is 26, meaning the only prime factor is 2.

How many factors of 64 are there?

We have 7 factors of 64, they are: 1, 2, 4, 8, 16, 32, and 64 itself.

Camille Ira B. Mendoza

41 articles

I am a seasoned math tutor with over seven years of experience in the field. Holding a Master’s Degree in Education, I take great joy in nurturing young math enthusiasts, regardless of their age, grade, and skill level. Beyond teaching, I am passionate about spending time with my family, reading, and watching movies. My background also includes knowledge in child psychology, which aids in delivering personalized and effective teaching strategies.