Factors of 902

The numbers that divide 902 evenly are known as factors of 902. A factor of 902 is a number that divides the number without a remainder. The factors of 902 are 1, 2, 3, 6, 151, 301, 451, and 902.

Negative factors of 902: -1, -2, -3, -6, -151, -301, -451, and -902.

Prime factors of 902: 2, 3, and 151.

Prime factorization of 902: 2 × 3 × 151.

The sum of factors of 902: 1 + 2 + 3 + 6 + 151 + 301 + 451 + 902 = 1817

Factors can be found using different methods. Mentioned below are some commonly used methods:

1. Finding factors using multiplication
2. Finding factors using the division method
3. Prime factors and Prime factorization

To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 902. Identifying the numbers which are multiplied to get the number 902 is the multiplication method.

Step 1: Multiply 902 by 1, 902 × 1 = 902.

Step 2: Check for other numbers that give 902 after multiplying

2 × 451 = 902

3 × 301 = 902

6 × 151 = 902

Therefore, the positive factor pairs of 902 are: (1, 902), (2, 451), (3, 301), (6, 151). All these factor pairs result in 902. For every positive factor, there is a negative factor.

Dividing the given numbers with 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 a simple division method -

Step 1: Divide 902 by 1, 902 ÷ 1 = 902.

Step 2: Continue dividing 902 by the numbers until the remainder becomes 0.

902 ÷ 1 = 902

902 ÷ 2 = 451

902 ÷ 3 = 301

902 ÷ 6 = 151

Therefore, the factors of 902 are: 1, 2, 3, 6, 151, 301, 451, 902.

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 902 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

902 ÷ 2 = 451

451 ÷ 3 = 150.333 (Continue with 3)

451 ÷ 151 = 3

151 ÷ 151 = 1

The prime factors of 902 are 2, 3, and 151. The prime factorization of 902 is: 2 × 3 × 151.

The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -

Step 1: Firstly, 902 is divided by 2 to get 451.

Step 2: Now divide 451 by 3 to get 150.333 (Continue with 3)

Step 3: Divide 451 by 151 to get 3. Step 4: Divide 151 by 151 to get 1.Here, 151 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 902 is: 2 × 3 × 151.

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 902: (1, 902), (2, 451), (3, 301), and (6, 151).
• Negative factor pairs of 902: (-1, -902), (-2, -451), (-3, -301), and (-6, -151).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 902 are 1, 2, 3, 6, 151, 301, 451, 902.

• Prime factors: The factors which are prime numbers. For example, 2, 3, and 151 are prime factors of 902.

• 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 902 are (1, 902), (2, 451), etc.

• Multiples: A multiple is the product of a number and an integer. For example, 902 is a multiple of 1, 2, and 3.

• Division Method: A method used to find factors by dividing the number with integers until the remainder is zero. For example, 902 ÷ 1 = 902, 902 ÷ 2 = 451, etc.