132 LearnersLast updated on May 26th, 2025
Factors of 626
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing the items equally, arranging things, etc. In this topic, we will learn about the factors of 626, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 626?
The numbers that divide 626 evenly are known as factors of 626. A factor of 626 is a number that divides the number without remainder. The factors of 626 are 1, 2, 313, and 626.
Negative factors of 626: -1, -2, -313, and -626.
Prime factors of 626: 2 and 313.
Prime factorization of 626: 2 × 313.
The sum of factors of 626: 1 + 2 + 313 + 626 = 942
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How to Find Factors of 626?
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
Finding Factors Using Multiplication
To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 626. Identifying the numbers which are multiplied to get the number 626 is the multiplication method.
Step 1: Multiply 626 by 1, 626 × 1 = 626.
Step 2: Check for other numbers that give 626 after multiplying
2 × 313 = 626
Therefore, the positive factor pairs of 626 are: (1, 626) and (2, 313).
All these factor pairs result in 626. For every positive factor, there is a negative factor.
Finding Factors Using Division Method
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 a simple division method -
Step 1: Divide 626 by 1, 626 ÷ 1 = 626.
Step 2: Continue dividing 626 by the numbers until the remainder becomes 0.
626 ÷ 1 = 626
626 ÷ 2 = 313
Therefore, the factors of 626 are: 1, 2, 313, 626.
Prime Factors and Prime Factorization
The factors can be found by dividing it with a 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 626 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
626 ÷ 2 = 313
313 ÷ 313 = 1
The prime factors of 626 are 2 and 313. The prime factorization of 626 is: 2 × 313.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 626 is divided by 2 to get 313.
Step 2: Now divide 313 by 313 to get 1. Here, 313 is the smallest prime number and cannot be divided further. So, the prime factorization of 626 is: 2 × 313.
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 626: (1, 626) and (2, 313).
- Negative factor pairs of 626: (-1, -626) and (-2, -313).
Common Mistakes and How to Avoid Them in Factors of 626
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
Mistake 1
Forgetting the number itself and 1 is a factor
Children might forget to add the given number itself and 1 as a factor. The number itself and 1 are the factors for every number. Always remember to include 1 and the number itself. For example, in factors of 626, 1 and 626 is also a factor.
Mistake 2
Missing Negative Factors
We have used only to mention positive factors every time. There are also negative factors, always check whether you have mentioned negative factors. For example, the factors of 626 consist of -1, -2, -313, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as factors. Only whole numbers can be a factor. For example, thinking 1.5 as a factor, because 626/1.5 is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes. For example, thinking all the factors of 626 are prime numbers. For example, 2 and 313 are the prime factors of 626, but it has other factors like 1 and 626.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors. For example, not breaking 626 as 2 × 313 and missing all the key factors.
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Factors of 626 Examples
Problem 1
There are 2 teams and 626 points. How will the points be divided equally?
Each team will get 313 points.
Explanation
To divide the points equally, we need to divide the total points by the number of teams.
626/2 = 313
Problem 2
A ribbon is 626 cm long and needs to be cut into equal pieces of 313 cm. How many pieces will you have?
2 pieces.
Explanation
To find the number of pieces, divide the total length by the length of each piece.
626/313 = 2
Problem 3
A billboard is 626 square meters, and its width is 2 meters. What is its length?
313 meters.
Explanation
To find the length of the billboard, we use the formula,
Area = length × width
626 = length × 2
To find the value of length, we need to divide 626 by 2.
626/2 = 313
Problem 4
There are 626 apples to be packed into boxes, each containing 313 apples. How many boxes will be needed?
2 boxes.
Explanation
Dividing the apples by the apples per box, we will get the number of boxes needed.
626/313 = 2
Problem 5
626 books need to be arranged in 2 shelves. How many books will go on each shelf?
Each of the shelves has 313 books.
Explanation
Divide total books by shelves.
626/2 = 313
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FAQs on Factors of 626
1.What are the factors of 626?
2.Mention the prime factors of 626.
3.Is 626 a multiple of 2?
4.Mention the factor pairs of 626?
5.What is the square of 626?
6.How can children in Australia use numbers in everyday life to understand Factors of 626?
7.What are some fun ways kids in Australia can practice Factors of 626 with numbers?
8.What role do numbers and Factors of 626 play in helping children in Australia develop problem-solving skills?
9.How can families in Australia create number-rich environments to improve Factors of 626 skills?
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Important Glossaries for Factor of 626
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 626 are 1, 2, 313, and 626.
- Prime factors: The factors which are prime numbers. For example, 2 and 313 are prime factors of 626.
- 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 626 are (1, 626) and (2, 313).
- Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 626 is 2 × 313.
- Multiples: Numbers that can be divided by another number without a remainder. For example, 626 is a multiple of 2.
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About BrightChamps in Australia
Hiralee Lalitkumar Makwana
About the Author
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.
Fun Fact
: She loves to read number jokes and games.
