Factors of 25 are 1, 5, 25.
Here is complete detailed methods to find the factors of 25.
Actually, Factor is a number which divides any number completely without leaving remainder.
Or simply we can say that if we multiply two whole numbers (positive & negative) and it gives a product. Then the numbers that we multiply, are the factors of the product.
For example, if we multiply 5 to 5, it gives 25. Here 5 is called positive factors of 25 and if we multiply -1 to -25, it gives 25. So -1 and -25 are called negative factor of 25.
How to Find The Factors of 25 ?
Since factors of 25 are the numbers, which divides 25 completely without leaving remainder. So here we are going to divide 25 by all numbers up to 25. Let’s see the process –
We have to stop the process, if any number of column ‘B’ appears in column ‘A’ or when any element comes in both columns at same level and this element will consider as a factor.
Here we stop the division when 5 appears in column ‘A’, which has already been came in column ‘B’.
Hence, all the factor of 25 in above table are : 1, 5, 25
Similarly, negative factor of 25 are : -1, -5, -25
What Are The Factors of 25 in Pairs ?
As we saw in above table, 5 multiply by 5 gives 25. So (5, 5) is a factor pair of 25. Let us see how many factor pairs can be achieved –
Positive Factors of 25
1 x 25 = 25
5 x 5 = 25
1 x 25 = 25
Negative Factors of 25
Similarly, negative factor pairs of 25 can be written as follows –
-1 x -25 = 25
-5 x -5 = 25
-25 x -1 = 25
Hence, 25 has 3 factor pairs.
What Are the Prime Factors of 25 ?
Since 25 is itself a prime number, hence it has only one prime factor i.e. 25. Here we will discuss, mainly two methods of factorization to find Prime Factors of any number.
- Division Method
- Factor Tree Method
Prime Factors of 25 by Division Method
Step 1 : Divide the number by the smallest prime number, which divides the number exactly.
Step 2 : Divide the quotient again by the smallest prime number. If quotient is not exactly divisible by the
smallest prime number, choose next smallest prime number.
Step 3 : Repeat Step 2 again and again till the quotient becomes 1.
Step 4 : All the prime numbers used in above process are the prime factors.
Check : Multiply all the prime factors, the multiplication should be the number itself.
Caution : In this method, only prime numbers will be use to divide.
Steps to calculate prime factors of 25
- First, divide 25 by least prime number i.e. 2. We didn’t get a whole number as a quotient. So try next prime number to divide.
- Again, Divide 25 by next prime number i.e. 3. We didn’t get a whole number as a quotient. So try next prime number to divide.
- Again, Divide 25 by next prime number i.e. 5. This time we got 5 as a quotient.
- Since 5 is a prime number, this will divide itself only. So divide 5 by 5 and we got 1 as quotient.
Here 25 = 5 x 5 = 5 2
Factor Tree of 25
Step 1 : Write a number as root of the tree
Step 2 : Find the factors of the number, each factor will be considered as root again (now, we got 2 new root)
Step 3 : Repeat step 2 until we can’t factor any more (or until we got prime factor)
Step 4 : The end nodes are the prime factors.
We can initiate the tree by choosing any two factors. Here we choose 5 and 5 as factors of 25.
We got the same unique nodes in every tree.
The Factor Tree may be made so many types depends upon choosing the initial and middle factors.
Number of Factors of 25
The Number of Factors of 25 is 3. To find the number of factors, we use Division Method.
In our example, as we saw above 25 = 5 2
Number of factors is = (power + 1)(power + 1)(power + 1)……….
Hence number of factors of 25 is = (2 + 1) = 3
and if we consider both positive and negative factors, then
total no. of factors = 3 (positive) + 3 (negative) = 6
I hope, this step-by-step tutorial will be helpful to understand factorization method of 25.
What are the factors or divisors of the number 25?
The factors or divisors of the number 25 are 1, 5, 25.
What are the prime factors of the number 25?
The prime factors of the number 25 is only 5.
What is the total number of factors of the number 25?
The total number of factors of the number 25 is 3.
What is the total number of prime factors of the number 25?
The total number of prime factors of the number 25 is 1.
What is the sum of all factors of the number 25 including 25?
The sum of all the factors of the number 25 including 25 is 31 (i.e 1 + 5 +25 = 31)
What is the sum of all factors of the number 25 excluding 25?
The sum of all the factors of the number 25 excluding 25 is 6 (i.e 1 + 5 = 6)
What are the factor combinations of the number 25?
The factor combinations of the number 25 are (1, 25) , (5, 5) & (25, 1).
What is the prime factorization of the number 25?
The prime factorization of the number 25 is 5.