Last updated on May 26th, 2025
Factors are the numbers that divide any given number evenly without 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 70, how they are used in real life, and tips to learn them quickly.
The numbers that divide 70 evenly are known as factors of 70. A factor of 70 is a number that divides the number without remainder. The factors of 70 are 1, 2, 5, 7, 10, 14, 35, and 70. Negative factors of 70: -1, -2, -5, -7, -10, -14, -35, and -70. Prime factors of 70: 2, 5, and 7. Prime factorization of 70: 2 × 5 × 7. The sum of factors of 70: 1 + 2 + 5 + 7 + 10 + 14 + 35 + 70 = 144
Factors can be found using different methods. Mentioned below are some commonly used methods: Finding factors using multiplication Finding factors using the 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 70. Identifying the numbers which are multiplied to get the number 70 is the multiplication method. Step 1: Multiply 70 by 1, 70 × 1 = 70. Step 2: Check for other numbers that give 70 after multiplying 2 × 35 = 70 5 × 14 = 70 7 × 10 = 70 Therefore, the positive factor pairs of 70 are: (1, 70), (2, 35), (5, 14), (7, 10). All these factor pairs result in 70. 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 70 by 1, 70 ÷ 1 = 70. Step 2: Continue dividing 70 by the numbers until the remainder becomes 0. 70 ÷ 1 = 70 70 ÷ 2 = 35 70 ÷ 5 = 14 70 ÷ 7 = 10 Therefore, the factors of 70 are: 1, 2, 5, 7, 10, 14, 35, 70.
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 70 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1. 70 ÷ 2 = 35 35 ÷ 5 = 7 7 ÷ 7 = 1 The prime factors of 70 are 2, 5, and 7. The prime factorization of 70 is: 2 × 5 × 7.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows - Step 1: Firstly, 70 is divided by 2 to get 35. Step 2: Now divide 35 by 5 to get 7. Here, 7 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 70 is: 2 × 5 × 7. 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 70: (1, 70), (2, 35), (5, 14), and (7, 10). Negative factor pairs of 70: (-1, -70), (-2, -35), (-5, -14), and (-7, -10).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
There are 7 friends and 70 candies. How will they divide it equally?
They will get 10 candies each.
To divide the candies equally, we need to divide the total candies with the number of friends. 70/7 = 10
A garden is rectangular, the length of the garden is 5 meters and the total area is 70 square meters. Find the width?
14 meters.
To find the width of the garden, we use the formula, Area = length × width 70 = 5 × width To find the value of width, we need to shift 5 to the left side. 70/5 = width Width = 14.
There are 35 bags and 70 marbles. How many marbles will be in each bag?
Each bag will have 2 marbles.
To find the marbles in each bag, divide the total marbles by the bags. 70/35 = 2
In a class, there are 70 students and 10 groups. How many students are there in each group?
There are 7 students in each group.
Dividing the students with the total groups, we will get the number of students in each group. 70/10 = 7
70 books need to be arranged in 14 shelves. How many books will go on each shelf?
Each of the shelves has 5 books.
Divide total books by shelves. 70/14 = 5
Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 70 are 1, 2, 5, 7, 10, 14, 35, and 70. Prime factors: The factors which are prime numbers. For example, 2, 5, and 7 are prime factors of 70. 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 70 are (1, 70), (2, 35), etc. Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 70 is 2 × 5 × 7. Multiplication method: A method to find factors by identifying pairs of numbers that multiply to give the original number. For example, using the multiplication method to find factor pairs of 70.
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.