Factors of 5 Using Prime Factorization
What are the Factors of 5?
To be able to understand the factors of 5, we will look into the methodology for finding the factors.
Factors of 5
Factors | Factors pairs | Prime factorization |
|---|---|---|
1, 5 | (1, 5) | 5 = 1 \(\times \) 5 |
The factors of 5 are integers that divide 5 without leaving any remainder, or in other words, factors of 5 divide 5 evenly.
Example: 1 is a factor of 5 because when we divide 5 by 1, it gives us the quotient as 5 and the remainder as 0. Here the quotient, 1, is also a factor of 5.
So, to check if any number is a factor of 5, divide 5 by that number and check if the remainder is zero or not.
Factor List of 5
Number | Is the number a factor of 5? | Multiplication Equation |
|---|---|---|
1 | Yes, 1 is a factor of every number | 1 \(\times \) 5 = 5 |
2 | Yes, 5 \(\div \) 2 = 2 R1 | _ |
3 | Yes, 5 \(\div \) 3 = 1 R2 | _ |
4 | Yes, 5 \(\div \) 4 = 1 R1 | _ |
5 | Yes, 5 \(\div \) 5 = 1 R0 | 5 \(\times \) 1 = 5 |
At 5, we can see that the multiplication equation has repeated. This means that we have derived all the factors of 5.
So, the factors of 5 are 1 and 5. This indicates that 5 is a prime number as it has only two factors, 1 and itself.
Prime Factorization of 5
A factor tree can be used to learn the prime factorization of 5:
From the factor tree we can see that the prime factorization of 5 is 1 × 5 = 5.
Read More:
Factor Pairs of 5
The factor pair of 5 is the set of two factors of 5 which when multiplied together result in 5.
Factors of 5: 1 and 5.
So (1, 5) is the only factor pair of 5, as 5 is a prime number.
Rapid Recall
Solved Factors of 5 Examples
Example 1: Find the common factors of 10 and 5.
Solution:
Factors of 10: 1, 2, 5 and 10.
Factors of 5: 1 and 5.
So, the common factors of 10 and 5 are 1 and 5.
Example 2:
The food court of a mall has 305 cups. There are 5 restaurants in the food court. These cups are distributed equally among these restaurants. How many cups does each restaurant get?
Solution:
Number of cups = 305
Number of restaurants = 5
Number of cups each restaurant gets = \(\frac{305}{5} \) = 61
So each restaurant gets 61 cups.
Example 3: Grandma Jane wants to distribute 54 cupcakes that she freshly baked among her 5 grandchildren. She doesn’t want them to quarrel so she wants to distribute them such that no grandkid gets more or less number of cupcakes. The remaining cupcakes can be given to the kids next door. Can you help grandma Jane?
Solution:
Number of cupcakes = 54
Number of grandkids = 5
Number of cupcake each grandkid gets = \(\frac{54}{5} \) = 10 R4
On dividing 54 by 5, we get the quotient as 10 and the remainder as 4. Hence each grandkid gets 10 cupcakes, but grandma Jane would be left with 4 cupcakes. These cupcakes can be given to the children next door.
No, when you divide 5 by 3, we will get 2 as the remainder, that is, 3 does not divide 5 evenly.
Numbers that divide 5 evenly, that is, leave zero as the remainder are known as factors of 5.
The factors of 5 are 1 and 5.
Hence, the sum of the factors of 5 is = 1 + 5 = 6
Hence, the sum is 6.
No, 5 is not a composite number as it does not have factors other than one and itself.
The factors of 5 are 1 and 5.
So, the least factor of 5 is 1, and the greatest factor of 5 is 5 itself.