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 1422, how they are used in real life, and tips to learn them quickly.
The numbers that divide 1422 evenly are known as factors of 1422.
A factor of 1422 is a number that divides the number without a remainder.
The factors of 1422 are 1, 2, 3, 6, 9, 18, 79, 158, 237, 474, 711, and 1422.
Negative factors of 1422: -1, -2, -3, -6, -9, -18, -79, -158, -237, -474, -711, and -1422.
Prime factors of 1422: 2, 3, and 79.
Prime factorization of 1422: 2 × 32 × 79.
The sum of factors of 1422: 1 + 2 + 3 + 6 + 9 + 18 + 79 + 158 + 237 + 474 + 711 + 1422 = 3120.
Factors can be found using different methods. Mentioned below are some commonly used methods:
To find factors using multiplication, identify the pairs of numbers that are multiplied to give 1422. Identifying the numbers which are multiplied to get the number 1422 is the multiplication method.
Step 1: Multiply 1422 by 1, 1422 × 1 = 1422.
Step 2: Check for other numbers that give 1422 after multiplying
2 × 711 = 1422
3 × 474 = 1422
6 × 237 = 1422
9 × 158 = 1422
18 × 79 = 1422
Therefore, the positive factor pairs of 1422 are: (1, 1422), (2, 711), (3, 474), (6, 237), (9, 158), and (18, 79).
For every positive factor, there is a negative factor.
Divide the given numbers with the whole numbers until the remainder becomes zero, listing out the numbers that result in whole numbers as factors. Factors can be calculated by following a simple division method:
Step 1: Divide 1422 by 1, 1422 ÷ 1 = 1422.
Step 2: Continue dividing 1422 by the numbers until the remainder becomes 0.
1422 ÷ 1 = 1422
1422 ÷ 2 = 711
1422 ÷ 3 = 474
1422 ÷ 6 = 237
1422 ÷ 9 = 158
1422 ÷ 18 = 79
Therefore, the factors of 1422 are: 1, 2, 3, 6, 9, 18, 79, 158, 237, 474, 711, 1422.
Factors can be found by dividing them with prime numbers. We can find the prime factors using the following methods:
Using Prime Factorization: In this process, prime factors of 1422 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1422 ÷ 2 = 711
711 ÷ 3 = 237
237 ÷ 3 = 79
79 ÷ 79 = 1
The prime factors of 1422 are 2, 3, and 79.
The prime factorization of 1422 is: 2 × 32 × 79.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows:
Step 1: Firstly, 1422 is divided by 2 to get 711.
Step 2: Now divide 711 by 3 to get 237.
Step 3: Then divide 237 by 3 to get 79. Here, 79 is a prime number, that cannot be divided anymore.
So, the prime factorization of 1422 is: 2 × 32 × 79.
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 1422: (1, 1422), (2, 711), (3, 474), (6, 237), (9, 158), (18, 79).
Negative factor pairs of 1422: (-1, -1422), (-2, -711), (-3, -474), (-6, -237), (-9, -158), (-18, -79).
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 6 teams and 1422 tickets. How will they divide them equally?
They will get 237 tickets each.
To divide the tickets equally, we need to divide the total tickets by the number of teams.
1422/6 = 237
A hall is rectangular, the length of the hall is 9 meters and the total area is 1422 square meters. Find the width.
158 meters.
To find the width of the hall, we use the formula,
Area = length × width
1422 = 9 × width
To find the value of width, we need to shift 9 to the left side.
1422/9 = width
Width = 158.
There are 18 sections and 1422 books. How many books will be in each section?
Each section will have 79 books.
To find the books in each section, divide the total books by the sections.
1422/18 = 79
In a class, there are 1422 students, and 3 tracks. How many students are there on each track?
There are 474 students on each track.
Dividing the students by the total tracks, we will get the number of students on each track.
1422/3 = 474
1422 flowers need to be arranged in 2 rows. How many flowers will go in each row?
Each of the rows has 711 flowers.
Divide total flowers by rows.
1422/2 = 711
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.