# Factors of 64

The factors of 64 are the numbers that divide evenly into 64. There are only four factors of 64: 1, 2, 4, 8, 16, 32 and 64 itself. The prime factorization of 64 is 2 × 2 × 2 × 2 × 2 × 2, which means that 64 is a composite number. Composite numbers are numbers that have more than two factors. The factors of 64 can be used to find the multiples of 64, which are the numbers that can be created by multiplying 64 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 64?

The method of calculating the factors of 64 is as follows. First, each number can be divided by one and by itself.

Consequently, 1 and 64 are the factors of 64.
By dividing a number by 1, 2, 3, 4… we can discover all its factors.

(i) 64 ÷ 1 = 64

This division gives the remainder 0 and so is divisible by 64. So please put them 1 and 64 in your factor list.

1, …. 64

(ii) 64 ÷ 2 = 32

This division gives the remainder 0 and so is divisible by 32. So please put them 2 and 32 in your factor list.

1, 2 …. 32, 64

(iii) 64 ÷ 4 = 16

This division gives the remainder 0 and so is divisible by 16. So please put them 4 and 6 in your factor list.

1, 2, 4 …. 16, 32, 64

(iv) 64 ÷ 8 = 8

This division gives the remainder 0 and so is divisible by 8. So please put them 8 and 8 in your factor list.

1, 2, 4, 8…. 16, 32, 64

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

So 1, 2, 4, 8, 16, 32 and 64 are factors of 64.

### Factor pairs of 64

1 x 64 = 64
2 x 32 = 64
4 x 16 = 64
8 x 8 = 64

So, (1, 64), (2, 32), (4, 16) and (8, 8) are factor pairs of 64

### Factor pairs of -64

-1 x -64 = 64
-2 x -32 = 64
-4 x -16 = 64
-8 x -8 = 64

So, (-1, -64), (-2, -32), (-4, -16) and (-8, -8) are negative pair factors of 64

### Prime Factorization of 64

64 ÷ 2 = 32
32 ÷ 2 = 16
16 ÷ 2 = 8
8 ÷ 2 = 4
4 ÷ 2 = 2

Therefore, 2 × 2 x 2 x 2 x 2 are Prime factorization of 64.

### Factor tree of 64

``````  64
/   \
2   32
/   \
2    16
/    \
2      8
/   \
2     4
/   \
2     2``````