Factors of 264

Similarly, as we learned above, factors of 264 are such numbers that will be multiplied to get 264. There are both positive and negative factors of numbers that we will learn as we move ahead in the topic.

264 has only sixteen factors: 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, and 264.

Negative factors of 264: Negative factors are nothing but the negative counterparts of the position factors of a number.

Since 264 has sixteen positive factors: 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, and 264., it will also have sixteen negative counterparts:  -1, -2, -3, -4, -6, -8, -11, -12, -22, -24, -33, -44, -66, -88, -132, and -264

Prime factors of 264: Since 264 is a composite number, it has 2, 3, and 11 as its prime factor.

Prime factorization of 264: Prime factorization of a number is the method of expressing 264 as a product of prime factors.

The prime factorization of 264 = 2³ × 3× 11
 

There are several ways of finding factors of 264. We will learn about them one by one as we go on.
 

In this method, we will try to find such a pair of numbers that will give 264 as their product. We recommend that you should follow the following steps to find factors using multiplication.

Step 1: Always look for a pair of numbers whose product is 264.

Step 2: After finding such pairs, list them all one by one.

Here, factor pairs of 264 are (1, 264), (2, 123), (3, 82), (6, 41).

So the factors of 264 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, and 264.
 

In the method, we need to find such numbers that divide 264 completely without leaving any remainder.

264/1 = 264

264/ 2 = 132

264/ 3 = 88

264/ 4 = 66

264/ 6 = 44

264/ 8 = 33

264/ 11 = 24

264/ 12 = 22

264/ 22 = 12

264/ 24 = 11

264/ 33 = 8

264/ 44 = 6

264/ 66= 4

264/ 88= 3

264 / 132= 2

264/ 264 = 1

All the 16 numbers: 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, and 264, mentioned above divide 264 completely without any remainder. Hence, they are factors of 264.

In the prime factorization method, a number is expressed as the product of prime factors.

Here, as we know, 264 = 2³ × 3 × 11

2, 3, and 11 are the prime factors when multiplied together will give 264 as a product of the multiplication.
 

A factor tree is a graphical representation of factors of any number. In the diagram, each branch represents the prime factors a number has.

The factor pairs of a number refer to a pair of numbers which, when multiplied, will give the number as a product.

The factor pairs of 264 are (1, 264), (2, 123), (3, 82), (6, 41).

Positive Pair Factors of 264 are (1, 264), (2, 123), (3, 82), (6, 41)

Negative Pair Factors of 264 are (-1, -264), (-2, -123), (-3, -82), (-6, -41)

• Prime Numbers: Those numbers which have no other factors other than 1 & the number itself.

• Composite Numbers: Those numbers that have more than 2 factors.

• Negative Factors: These are the counterparts of the positive factors of a number.

• Prime Factorization: Process of breaking down a composite number into products of several of its prime factors.