Factors of 375

Mathematically, we know that factors of a number divides that particular number completely. If we talk about the number 375. In this lesson, let us learn abuout factors of 375 in detail. We will find how to calculate factors of 375, factors of 375 in pair also with solved examples. There are total 8 factors of 375 hence, it is a composite number. There are 2 prime numbers among 8 factors of 375 which are termed as prime factors of 375.

• Factors of 375: 1, 3, 5, 15, 25, 75, 125, and 375.
• Prime Factorization of 375: 3 × 5 × 5 × 5

Let us explore more about factors of 375 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 375 are 1, 3, 5, 15, 25, 75, 125, and 375. So, 375 is a composite number as it has more factors other than 1 and itself. There are total 8 factors of 375.

Using methods like divisibility test, prime factorization, and the upside-down division method we can calculate the factors of 375. In the division method, we see which numbers divide 375 exactly without a remainder. In prime factorization, we express 375 as a product of its prime factors.

Let us calculate factors of 375 using follwoing two simple methods:

• Factors of 375 by division method
• Factors of 375 by prime factorization method

Factors of 375 By Division Method

Let us divide whole numbers with 375 and see which number divides 375 exactly without leaving a remainder. 

• 375 ÷ 1 = 375
• 375 ÷ 3 = 125
• 375 ÷ 5 = 75
• 375 ÷ 15 = 25

According to division method we have 0 as a remainder for all the numbers. The divisor and the obtained quotient are the factors of 375. These are the numbers which exactly divides the 375 without leaving any remainder. Hence, the factors of 375 are 1, 3, 5, 15, 25, 75, 125, and 375.

Prime Factorization of 375

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 375 with the help of following steps:

• Using divisibility rules, find the smallest factor of 375.
• Divide 375 by 3 = 375 ÷ 3 = 125.
• Now find the prime factors of the quotient obtained.
• 125 is a quotient.
• Now, 125 ÷ 5 = 25.
• 25 is a next quotient.
• 25 ÷ 5 = 5
• Now divide 5 ÷ 5 = 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 375.
• Prime factorization of 375 is 3 × 5 × 5 × 5.
• 3 and 5 are prime factors of 375.

Hence, the factors of 375 are 1, 3, 5, 15, 25, 75, 125, and 375.

Explore factors using illustrations and interactive examples

• Factors of 175: The factors of 175 are 1, 5, 7, 25, 35, and 175.
• Factors of 75: The factors of 75 are 1, 3, 5, 15, 25 and 75.
• Factors of 380:  The factors of 380 are 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, and 380.
• Factors of 125: The factors of 125 are 1, 5, 25, and 125.
• 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.

The pair of numbers that give 375 when multiplied with each other is called the factor pairs of 375.

• 375 = 1 × 375
• 375 = 3 × 125
• 375 = 5 × 75
• 375 = 15 × 25
• Therefore, the factor pairs of 375 are (1, 375), (3, 125), (5, 75), and (15, 25).
• Since the product of two negative numbers is positive, i.e. (-) × (-) = (+).
• Hence, (-1, -375), (-3, -125), (-5, -75), and (-15, -25). are negative factor pairs of 375.

• Calculate the prime factors of 37500.
• Find all the factors of 375375 using division method.

What are the prime factors of 375?

Prime factors of 375 are 3 and 5.

What is the prime factorization of 375?

Prime factorization of 375 is 3 × 5 × 5 × 5.

Which is the smallest prime factor of 375?

The smallest prime factor of 375 is 3.

Which is the highest prime factor of 375?

The highest prime factor of 375 is 5.

What are the common factors of 375 and 175?

The factors of 375 are 1, 3, 5, 15, 25, 75, 125, and 375. The factors of 175 are 1, 5, 7, 25, 35, and 175. Hence, the common factors of 375 and 175 are 1 and 5.