Factors of 245
Factors of 245 are the list of integers that can be evenly divided into 245. Did you know, 245 is an odd composite number. It is composed of two distinct prime numbers multiplied together. There is a total of 6 factors of 245. Amongst 6 factors 2 factors are prime numbers. In this minilesson, we will explore the factors of 245, solve problems, and learn about its factors in pairs and its prime factors.
 Factors of 245: 1, 5, 7, 35, 49 and 245
 Negative Factors of 245: 1, 5, 7, 35, 49 and 245
 Prime Factorization of 245: 5 × 7 × 7
1.  What are Factors of 245? 
2.  How to Calculate Factors of 245? 
3.  Factors of 245 by Prime Factorization 
4.  Factors of 245 in Pairs 
5.  FAQs on Factors of 245 
What are Factors of 245?
Factors of 245 are all the numbers which on multiplying give the value 245. 245 is a composite number. As it is odd, it will not have 2 or any multiples of 2 as its factor. It is a multiple of 5, therefore, 5 will be a factor.
How to Calculate the Factors of 245?
The factors of 245 are integers that divide 245 without any remainder. Let's learn how to calculate factors of 245:
 Begin calculating the factors of 245, starting with 1.
 245 ÷ 1 = 245, Remainder = 0
 245 ÷ 5 = 49, Remainder = 0
 245 ÷ 7 = 35, Remainder = 0
 No even number can divide 245 and so, we need to check with odd numbers only.
Explore factors using illustrations and interactive examples:
 Factors of 37: The factors of 37 are 1 and 37.
 Factors of 15: The factors of 15 are 1 , 3, 5 and 15.
 Factors of 45: The factors of 45 are 1, 3, 5, 9, 15 and 45.
 Factors of 40: The factors of 40 are 1, 2, 4, 5, 8, 10, 20 and 40
 Factors of 25: The factors of 25 are 1, 5 and 25
Factors of 245 by Prime Factorization
Prime factorization means to express a composite number as the product of its prime factors.
 To get the prime factorization of 245, we divide it by its smallest prime factor which is 5. 245 ÷ 5 = 49,
 Now divide 49 by its smallest prime factor. 49 ÷ 7 = 7
 This process goes on till we get the quotient as 1. 7 ÷ 7 = 1
 The prime factorization of 245 is shown below in 2 ways:
We stop the factor tree as we cannot branch further as 5 and 7 are prime numbers. Therefore prime factorization of 245 is 5 × 7 × 7.
Factors of 245 in Pairs
 The pair of numbers that multiply together to form 245 are said to be the factors of 245 in pairs.
 The distinct factorpairs of 245 as (1,245), (5,49), (7, 35)
 We can have positive and negative factors of 245 in pairs. The negative factorpairs of 245 are (1,245) ; (5,49) ; (7, 35).
Important Notes
 As 245 is an odd number, all of its factors will also be odd.
 245 is a nonperfect square number. Thus, it will have an even number of factors. This property holds true for every nonperfect square number.
 Factors are never fractions or decimals.
Challenging Questions
 Determine the prime factors of 254.
 Can 0.245 and 2450 be called the factors of 245?
Factors of 245 Solved Examples

Example 1:
There are 245 students in Kindergarten. Ms Austen wants to group them in different sections.She wants equal number of children in all sections for easy maintenance.Also, she wants more than 20 and less than 40 children in a section. In how many ways she can do this?
Solution:
We already learned that the factors of 245 are 1, 5, 7, 35, 49, and 245. Among these, the factor that is more than 20 and less than 40 is 35 (1 factor).
Thus, Ms Austen can arrange the class in only 1 way.

Example 2: Rachel wants to find the number which is two more than the greatest factor of 245, other than 245. Can you find that number?
Solution:
The factors of 245 are 1, 5, 7, 35, 49, and 245. Out of these factors, the greatest factor of 245, other than 245 is 49.
A number which is two more than 49 = 49 + 2 = 51. Thus 51 is the required number.
FAQs on Factors of 245
What are the Factors of 245?
The factors of 245 are 1, 5, 7, 35, 49 and 245.
What are the Prime Factors of 245?
The prime factors of 245 are 5 and 7.
Is 245 a Perfect Square?
No, 245 is not a perfect square, as it cannot be expressed as the product of number × number.
What are the Common Factors of 245 and 250?
The factors of 245 are 1, 5, 7, 35, 49, and 245 and the factors of 250 are 1, 2, 5, 10, 25, 50, 125 and 250.
Therefore, the common factors of 245 and 250 are 1 and 5.
What are the Pair Factors that make 245?
The pair factors that make 245 are (1,245), (5,49), (7, 35)
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