Factors of a number are the product of such numbers which completely divide the given number. Factors of a given number can be either positive or negative numbers. By multiplying the factors of a number we get the original number. For example 1, 2, 3, 6 are the factors of 6. On multiplying two or more numbers we get 6. Hence we have 2 x 3 = 6 or 1 x 6 = 6. On this page, we will study the factors of 98 definitions, what are the factors of 98, what is the prime factorization of 98, factor tree of 98, and examples. Factor pairs of the number 98 are the pairs of the whole numbers which could be either positive or negative but not a fraction or decimal number. Factorisation is the common method to find the factors of 98. Let us study the prime factorization of 98.
What are the Factors of a Number?
In elementary school pupils start the subject of mathematics by learning how to count numbers. Various props and activities are performed to practice counting. After the students get comfortable with the digits and can identify their values it is important to understand the values of each number and the quantity they represent. Students learn addition, subtraction, multiplication and division and solve questions based on these basic operations. It helps them to understand and calculate the total amount for any quantity they are provided within their day to day activities. To make it easier there are tables of multiplication that the students practice and by heart. They learn to divide the higher digit numbers by recalling the table they have practised. In the subsequent classes, the problems get advanced such as identifying the multiples of a number and finding out the numbers which can divide a particular number with the remainder zero. These numbers that can perfectly divide a number are known as the factors of that number.
Let’s take the example of the number 98 to understand what the factors of a number are.
98 is an even number so it is obvious that the number is divisible by 2. It is not divisible by 3, 4, 5 or 6 so these are not the factors of 98. If we divide the number by 7 then we get the dividend of 14. So both these numbers are the factors of 98. It is again not divisible by 8, 9, 10, 11, 12, or 13. Thus we have found that the 6 factors of 98 are 1, 2, 7, 14, 49, and 98.
What are the Factors of 98 ?
According to the definition of factors of 98 , we know that factors of 98 are all the positive or negative integers which divide the number 98 completely. So let us simply divide the number 98 by every number which completely divides 98 in ascending order till not divides completely
98 [div] 1 = 98
98 [div] 2 = 49
98 [div] 3 = not divides completely
98 [div] 4 = not divides completely
98 [div] 5 = not divides completely
98 [div] 6 = not divides completely
98 [div] 7 = 14
98 [div] 14 = 7
98 [div] 49 = 2
98 [div] 98 = 1
All Factors of 98 can be Listed as Follows
|
Positive Factors of 98 |
, and 98 |
|
Negative Factors of 98 |
, and |
Hence 98 have a total of 6 positive factors and 6 negative factors. All Factor Pairs of 98
All Factor Pairs of 98 are combinations of two factors that when multiplied together give. According to the prime factor definition, we know that the prime factor of a number is the product of all the factors that are prime( a number that divides by itself and only one). Hence we can list the prime factors from the list of factors of Or the other way to find the prime factorization of 98 is by prime factorization or by factor tree.