Factors of 1255

The numbers that divide 1255 evenly are known as factors of 1255. A factor of 1255 is a number that divides the number without remainder. The factors of 1255 are 1, 5, 251, and 1255.

Negative factors of 1255: -1, -5, -251, and -1255.

Prime factors of 1255: 5 and 251.

Prime factorization of 1255: 5 × 251.

The sum of factors of 1255: 1 + 5 + 251 + 1255 = 1512

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

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

To find factors using multiplication, we need to identify pairs of numbers that multiply to give 1255. Identifying the numbers that are multiplied to get the number 1255 is the multiplication method.

Step 1: Multiply 1255 by 1, 1255 × 1 = 1255.

Step 2: Check for other numbers that give 1255 after multiplying 5 × 251 = 1255

Therefore, the positive factor pairs of 1255 are: (1, 1255) and (5, 251). All these factor pairs result in 1255. 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 that result as whole numbers as factors. Factors can be calculated by following a simple division method:

Step 1: Divide 1255 by 1, 1255 ÷ 1 = 1255.

Step 2: Continue dividing 1255 by the numbers until the remainder becomes 0.

1255 ÷ 1 = 1255

1255 ÷ 5 = 251

1255 ÷ 251 = 5

1255 ÷ 1255 = 1

Therefore, the factors of 1255 are: 1, 5, 251, and 1255.

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 1255 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

1255 ÷ 5 = 251

251 ÷ 251 = 1

The prime factors of 1255 are 5 and 251. The prime factorization of 1255 is: 5 × 251.

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

Step 1: Firstly, 1255 is divided by 5 to get 251.

Step 2: 251 is already a prime number and cannot be divided further. So, the prime factorization of 1255 is: 5 × 251.

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 1255: (1, 1255) and (5, 251).

• Negative factor pairs of 1255: (-1, -1255) and (-5, -251).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1255 are 1, 5, 251, and 1255.

• Prime factors: The factors which are prime numbers. For example, 5 and 251 are prime factors of 1255.

• 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 1255 are (1, 1255) and (5, 251).

• Prime factorization: Expressing a number as the product of its prime factors. For 1255, it is 5 × 251.

• Negative factors: Factors that are negative numbers. For example, the negative factors of 1255 are -1, -5, -251, and -1255.