The number 19 is a positive integer that has several factors. A factor of a number is an integer that divides the number evenly, without leaving a remainder. The factors of 19 are 1 and 19. These are the only two whole numbers that divide 19 without leaving any remainder.
In other words, 19 can only be divided evenly by 1 and itself. It is a prime number because it has no other factors besides 1 and 19. Prime numbers are integers greater than 1 that have no positive divisors other than 1 and themselves.
So, the factors of 19 are 1 and 19.
How many Factors of 19
The number 19 is a prime number, which means it is only divisible by 1 and itself. Therefore, it has only two factors: 1 and 19.
All Factors of 19 using Multiplication
To find all the factors of 19, we can multiply 19 by different numbers and check if the result is divisible evenly. Since 19 is a prime number, it will have only two factors: 1 and 19.
1 x 19 = 19
So, the factors of 19 are 1 and 19.
FAQs on Factor Pairs of 19
Q: What are factor pairs?
A: Factor pairs are two numbers that, when multiplied together, result in a given number. For example, the factor pairs of 19 are (1, 19).
Q: Why does 19 only have one factor pair?
A: 19 is a prime number, which means it is only divisible by 1 and itself. Since there are no other numbers that divide evenly into 19, it has only one factor pair.
Q: How can I determine the factor pairs of a number?
A: To find the factor pairs of a number, you can start by dividing the number by 1 and itself. Then, continue dividing it by other numbers in ascending order and check if the division is exact. The pairs of numbers for which the division is exact are the factor pairs of the given number.
Q: Are factor pairs unique to each number?
A: Yes, factor pairs are unique to each number. Different numbers have different factor pairs based on their divisors. In the case of 19, it has only one factor pair (1, 19), but other numbers may have multiple factor pairs.
Q: How can factor pairs be useful?
A: Factor pairs are useful in various mathematical operations and concepts. They can help in finding the factors of a number, determining whether a number is prime or composite, simplifying fractions, finding common factors, and solving equations, among other applications in mathematics.
