The number 17 is a prime number, which means it is only divisible by 1 and itself. As such, the factors of 17 are limited to these two numbers: 1 and 17.

To further explain, a factor of a given number is a whole number that divides the original number without leaving a remainder. In the case of 17, it cannot be divided evenly by any other whole number except for 1 and 17 itself.

Here is a breakdown of the factors of 17:

1 x 17 = 17

Therefore, the factors of 17 are 1 and 17.

**How many Factors of 17**

The number 17 is a prime number, which means it only has two factors: 1 and 17. A prime number has exactly two factors because it is divisible only by 1 and itself. So, in the case of 17, there are exactly 2 factors.

**Factor Pairs of 17**

Since 17 is a prime number, it only has one factor pair, which consists of the number 1 and the number 17 itself. The factor pair of 17 is:

1 x 17 = 17

Thus, the factor pair of 17 is (1, 17).

**All Factors of 17 using Multiplication**

To find all the factors of 17 using multiplication, we can start by listing the numbers from 1 to 17 and check which ones divide 17 without leaving a remainder.

Here is the list of all the factors of 17:

1 x 17 = 17

So, the factors of 17 using multiplication are 1 and 17.

**FAQs on Factor Pairs of 17**

**Q: What is a factor pair?**A: A factor pair consists of two numbers that, when multiplied together, result in the given number. In the case of 17, the factor pair is (1, 17).

**Q: Why does 17 only have one factor pair?**A: Since 17 is a prime number, it only has two factors: 1 and 17. Thus, the factor pair of 17 is (1, 17).

**Q: Can a number have more than one factor pair?**A: Yes, numbers that are not prime can have multiple factor pairs. A factor pair is formed by two numbers that multiply to give the original number. For example, the number 12 has multiple factor pairs: (1, 12), (2, 6), and (3, 4).

**Q: What is the significance of factor pairs?**A: Factor pairs help in understanding the divisors or factors of a number. By identifying the factor pairs, we can determine all the numbers that divide a given number evenly.

**Q: How can I find the factor pairs of a number?**A: To find the factor pairs of a number, you can list the numbers from 1 to the given number and check which pairs multiply to give the original number. Factors always come in pairs, with one factor being smaller than or equal to the square root of the number, and the other factor being larger.

**Q: Are factor pairs useful in mathematics?**A: Yes, factor pairs are useful in various mathematical concepts and calculations, such as finding the greatest common divisor (GCD), simplifying fractions, factoring polynomials, and solving equations. Understanding factor pairs helps in analyzing the properties and relationships of numbers.