Table Of Contents
Last updated on May 2nd, 2025
Factors are the numbers that divide any given number evenly without a remainder. In daily life, we use factors for tasks like sharing items equally, arranging things, etc. In this topic, we will learn about the factors of 834, how they are used in real life, and tips to learn them quickly.
The numbers that divide 834 evenly are known as factors of 834.
A factor of 834 is a number that divides the number without a remainder.
The factors of 834 are 1, 2, 3, 6, 139, 278, 417, and 834.
Negative factors of 834: -1, -2, -3, -6, -139, -278, -417, and -834.
Prime factors of 834: 2, 3, and 139.
Prime factorization of 834: 2 × 3 × 139.
The sum of factors of 834: 1 + 2 + 3 + 6 + 139 + 278 + 417 + 834 = 1680
Factors can be found using different methods. Mentioned below are some commonly used methods:
To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 834. Identifying the numbers which are multiplied to get the number 834 is the multiplication method.
Step 1: Multiply 834 by 1, 834 × 1 = 834.
Step 2: Check for other numbers that give 834 after multiplying
2 × 417 = 834
3 × 278 = 834
6 × 139 = 834
Therefore, the positive factor pairs of 834 are: (1, 834), (2, 417), (3, 278), (6, 139).
All these factor pairs result in 834.
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 834 by 1, 834 ÷ 1 = 834.
Step 2: Continue dividing 834 by the numbers until the remainder becomes 0.
834 ÷ 1 = 834
834 ÷ 2 = 417
834 ÷ 3 = 278
834 ÷ 6 = 139
Therefore, the factors of 834 are: 1, 2, 3, 6, 139, 278, 417, 834.
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
Using Prime Factorization: In this process, prime factors of 834 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
834 ÷ 2 = 417
417 ÷ 3 = 139
139 ÷ 139 = 1
The prime factors of 834 are 2, 3, and 139.
The prime factorization of 834 is: 2 × 3 × 139.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 834 is divided by 2 to get 417.
Step 2: Now divide 417 by 3 to get 139.
Step 3: 139 is a prime number and cannot be divided further. So, the prime factorization of 834 is: 2 × 3 × 139.
Factor Pairs: Two numbers that are multiplied to give a specific number are called factor pairs. Both positive and negative factors constitute factor pairs.
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Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.
: She loves to read number jokes and games.