The number 49 is a composite number, meaning it is not prime and can be factored into smaller integers. The factors of 49 are the numbers that divide evenly into it without leaving a remainder. In the case of 49, the factors are 1, 7, and 49.

To break it down:

1 × 49 = 49

7 × 7 = 49

So, the factors of 49 are 1, 7, and 49.

These factors are important because they help us understand the properties and relationships of numbers. Factors are used in various mathematical operations, such as finding common factors, simplifying fractions, or determining whether a number is prime or composite.

## How many Factors of 49

The number 49 has three factors: 1, 7, and 49.

The factor pairs of 49 are the pairs of numbers that, when multiplied together, give the product of 49. In the case of 49, the factor pairs are:

1 × 49 = 49

7 × 7 = 49

So, the factor pairs of 49 are (1, 49) and (7, 7).

#### All Factors of 49 using Multiplication

To find all the factors of 49 using multiplication, we can start with the smallest factor, which is 1, and then multiply it by different numbers to see if it results in 49 without leaving a remainder. The factors of 49 obtained through multiplication are:

1 × 49 = 49

7 × 7 = 49

So, the factors of 49 obtained through multiplication are 1 and 49, as well as 7 and 7.