Factors of 38 Using Prime Factorization
Factors of 38
What are the Factors of 38?
Numbers that divide 38 without leaving any remainder are known as factors of 38.
For Example: 2 is a factor of 38 because when we divide 38 by 2 it results in the quotient being 19 and no remainder. The quotient is also a factor of 38.
Thus, to check if a number is a factor of 38 or not, divide 38 by that number, if the remainder is zero, then that number is said to be a factor of 38.
Factor List of 38
Therefore the factors of 38 are 1, 2, 19 and 38.
Prime Factors of 38
The number 38 is a composite number, that is, it has more than two numbers as factors. To carry out the prime factorization of 38, we will keep dividing 38 by its prime factors, until we get the result as 1.
As 38 is even, let’s start dividing by 2.
38 ÷ 2 = 19
Now 19 is a prime number itself, so we will divide it by 19;
19 ÷ 19 = 1
So, the prime factorization of 38 = 2 × 19
This means that 2 and 19 are the only prime factors of 38.
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Factor Pairs of 38
Factor pairs of 38 are two factors of 38 that when multiplied together produces a product of 38.
Hence, the positive pair factors of 38 are (1, 38) and (2, 19)
Rapid Recall
Solved Factors of 38 Examples
Example 1: Find the factors common between 38 and 40.
Solution:
Factors of 38 = 1, 2, 19 and 38
Factors of 40 = 1, 2, 4, 5, 8, 10, 20 and 40
Therefore, the factors common between 38 and 40 are 1 and 2.
Example 2: Find the factors common between 43 and 38.
Solution:
Factors of 43 = 1 and 43
Factors of 38 = 1, 2, 19 and 38
Therefore, the factor common between 43 and 38 is 1.
Example 3: John has 38 marbles with him and he decides to divide among his 3 friends. How can he divide the marbles equally?
Solution:
Let us divide 38 by 3.
38 ÷ 3 = 12 and the remainder is 2
As 3 is not a factor of 38, we get a remainder as 2.
Therefore to divide the marbles equally among 3 friends, John has to give each of them 12 marbles but still he would be left with 2 marbles.
The factors of 38 are 1, 2, 19 and 38. So, the least factor of 38 is 1 and the greatest factor is 38 itself.
The factors of 38 are 1, 2, 19 and 38.
Sum of factors = 1 + 2 + 19 + 38 = 60
So, the sum of factors of 38 is 60.
Yes, 19 is a factor of 38. As 19 divides 38 exactly without leaving any remainder.
The prime factorization of 38 is 2 × 19.
When the two negative numbers are multiplied together the resulting product is positive. The negative factor pairs are pair of numbers whose product is same.
The negative factor pairs of 38 are (– 1, – 38) and (- 2, – 19) .