Factors of 380

Mathematically, we know that factors of a number divides that particular number completely. If we talk about the number 380. There are total 12 factors of 380 hence it is a composite number. There are 3 prime numbers among 12 factors of 380 which are termed as prime factors of 380. In this lesson, let us learn abuout factors of 380 in detail. We will find how to calculate factors of 380, factors of 380 in pair also with solved examples.

• Factors of 380: 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190 and 380.
• Prime Factorization of 380: 2 × 2 × 5 × 19

Let us explore more about factors of 380 and ways to find them.

Numbers that divide the given number exactly without any remainder are termed as factors . According to the definition of factors, the factors of 380 are 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380. So, 380 is a composite number as it has more factors other than 1 and itself. There are total 12 factors of 380.

Using methods like divisibility test, prime factorization, and the upside-down division method we can calculate the factors of 380. In the division method, we see which numbers divide 380 exactly without a remainder. In prime factorization, we express 380 as a product of its prime factors.

Let us calculate factors of 380 using follwoing two simple methods:

• Factors of 380 by division method
• Factors of 380 by prime factorization method

Factors of 380 By Division Method

Let us divide whole numbers with 380 and see which number divides 380 exactly without leaving a remainder. 

• 380 ÷ 1 = 380
• 380 ÷ 2 = 190
• 380 ÷ 4 = 95
• 380 ÷ 5 = 76
• 380 ÷ 10 = 38
• 380 ÷ 19 = 20

According to division method we have 0 as a remainder for all the numbers. The divisor and the obtained quotient are the factors of 380. These are the numbers which exactly divides the 380 without leaving any remainder. Hence, the factors of 380 are 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380.

Prime Factorization of 380

As discussed above prime factorization of a number is a product of prime factors of that number. Let us try find the prime factorization of 380 with the help of following steps:

• Using divisibility rules, find the smallest factor of 380.
• Divide 380 by 2 = 380 ÷ 2 = 190.
• Now find the prime factors of the quotient obtained.
• 190 is a quotient.
• Now, 190 ÷ 2 = 95.
• 95 is a next quotient.
• 90 ÷ 5 = 19
• Now divide 19 ÷ 19 = 1. Here we can stop the process.
• In the steps we observed that we used all the prime numbers to solve the upside-down division. Hence all these numbers are prime factors of 380.
• Prime factorization of 380 is 2 × 2 × 5 × 19.
• 2, 5, and 19 are prime factors of 380.

Hence, the factors of 380 are 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190 and 380.

Explore factors using illustrations and interactive examples

• Factors of 180: The factors of 180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, and 180.
• Factors of 80: The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, and 80.
• Factors of 280:  The factors of 280 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, and 280.
• Factors of 360: The factors of 360 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180 and 360.
• Factors of 19: The factors of 19 are 1 and 19.

The pair of numbers that give 380 when multiplied with each other is called the pair factors of 380.

• 380 = 1 × 380
• 380 = 2 × 190
• 380 = 4 × 95
• 380 = 5 × 76
• 380 = 10 × 38
• 380 = 19 × 20
• Therefore, the factor pairs of 380 are (1, 380), (2, 190), (4, 95), (5, 76), (10, 38), and (19, 20).
• Since the product of two negative numbers is positive, i.e. (-) × (-) = (+).
• Hence, (-1, -380), (-2, -190), (-4, -95), (-5, -76), (-10, -38), and (-19, -20). are negative factor pairs of 380.

• Calculate the prime factors of 3800.
• Find all the factors of 380380 using division method.

What are the prime factors of 380?

Prime factors of 380 are 2, 5, and 19.

What is the prime factorization of 380?

Prime factorization of 380 is 2 × 2 × 5 × 19.

Which is the smallest prime factor of 380?

The smallest prime factor of 380 is 2.

Which is the highest prime factor of 380?

The highest prime factor of 380 is 19.

What are the common factors of 380 and 180?

The factors of 380 are 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, and 380. The factors of 180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, and 180. Hence, the common factors of 380 and 180 are 1, 2, 4, 5, 10, and 20.