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 1407, how they are used in real life, and tips to learn them quickly.
The numbers that divide 1407 evenly are known as factors of 1407.
A factor of 1407 is a number that divides the number without remainder.
The factors of 1407 are 1, 3, 469, and 1407.
Negative factors of 1407: -1, -3, -469, and -1407.
Prime factors of 1407: 3 and 469.
Prime factorization of 1407: 3 × 469.
The sum of factors of 1407: 1 + 3 + 469 + 1407 = 1880
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 1407. Identifying the numbers which are multiplied to get the number 1407 is the multiplication method.
Step 1: Multiply 1407 by 1, 1407 × 1 = 1407.
Step 2: Check for other numbers that give 1407 after multiplying
3 × 469 = 1407
Therefore, the positive factor pairs of 1407 are: (1, 1407) and (3, 469).
All these factor pairs result in 1407.
For every positive factor, there is a negative factor.
Dividing the given number with whole numbers until the remainder becomes zero and listing out the numbers that result in whole numbers as factors. Factors can be calculated by following the simple division method
Step 1: Divide 1407 by 1, 1407 ÷ 1 = 1407.
Step 2: Continue dividing 1407 by the numbers until the remainder becomes 0.
1407 ÷ 1 = 1407
1407 ÷ 3 = 469
Therefore, the factors of 1407 are: 1, 3, 469, and 1407.
The 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 1407 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1407 ÷ 3 = 469 469 is a prime number.
The prime factors of 1407 are 3 and 469.
The prime factorization of 1407 is: 3 × 469.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1407 is divided by 3 to get 469.
Step 2: 469 is a prime number and cannot be divided further.
So, the prime factorization of 1407 is: 3 × 469.
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 1407: (1, 1407) and (3, 469).
Negative factor pairs of 1407: (-1, -1407) and (-3, -469).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
A basketball team scored 1407 points in a season, and they played 469 games. How many points did they average per game?
They averaged 3 points per game.
To find the average points per game, divide the total points by the number of games.
1407/469 = 3
A farmer has 1407 apples and wants to pack them into 3 baskets equally. How many apples will each basket have?
Each basket will have 469 apples.
To divide apples equally, use the equation:
1407/3 = 469
A library has 1407 books and 3 sections. How many books will each section have?
Each section will have 469 books.
Divide the total number of books by the number of sections.
1407/3 = 469
A company produced 1407 units of a product and sold them in 469 stores. How many units were sold per store?
3 units were sold per store.
Dividing the total units by the number of stores gives the units per store.
1407/469 = 3
There are 3 teams in a competition with a total of 1407 points. How many points does each team get if they are equally distributed?
Each team gets 469 points.
To find the points per team, divide the total points by the number of teams.
1407/3 = 469
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.