Factors of 722

The numbers that divide 722 evenly are known as factors of 722. A factor of 722 is a number that divides the number without a remainder. The factors of 722 are 1, 2, 361, and 722. Negative factors of 722: -1, -2, -361, and -722. Prime factors of 722: 2 and 361. Prime factorization of 722: 2 × 361. The sum of factors of 722: 1 + 2 + 361 + 722 = 1086

Factors can be found using different methods. Mentioned below are some commonly used methods: Finding factors using multiplication Finding factors using division method Prime factors and Prime factorization

To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 722. Identifying the numbers which are multiplied to get the number 722 is the multiplication method. Step 1: Multiply 722 by 1, 722 × 1 = 722. Step 2: Check for other numbers that give 722 after multiplying 2 × 361 = 722 Therefore, the positive factor pairs of 722 are: (1, 722), (2, 361). All these factor pairs result in 722. For every positive factor, there is a negative factor.

Dividing the given numbers with the whole numbers until the remainder becomes zero and listing out the numbers which result as whole numbers as factors. Factors can be calculated by following the simple division method - Step 1: Divide 722 by 1, 722 ÷ 1 = 722. Step 2: Continue dividing 722 by the numbers until the remainder becomes 0. 722 ÷ 1 = 722 722 ÷ 2 = 361 Therefore, the factors of 722 are: 1, 2, 361, 722.

The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods: Using prime factorization Using factor tree Using Prime Factorization: In this process, prime factors of 722 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1. 722 ÷ 2 = 361 361 ÷ 19 = 19 19 ÷ 19 = 1 The prime factors of 722 are 2 and 19. The prime factorization of 722 is: 2 × 361.

The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows - Step 1: Firstly, 722 is divided by 2 to get 361. Step 2: Now divide 361 by 19 to get 19. Here, 19 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 722 is: 2 × 361. Factor Pairs Two numbers that are multiplied to give a specific number are called factor pairs. Both positive and negative factors constitute factor pairs. Positive factor pairs of 722: (1, 722), (2, 361). Negative factor pairs of 722: (-1, -722), (-2, -361).

Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 722 are 1, 2, 361, and 722. Prime factors: The factors which are prime numbers. For example, 2 and 19 are prime factors of 722. Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pairs of 722 are (1, 722), (2, 361). Prime factorization: Breaking down a composite number into the product of its prime factors. For example, the prime factorization of 722 is 2 × 361. Multiplication method: A method to find factors by identifying pairs of numbers multiplied to give the original number.