Table Of Contents

Table of Contents

203 Learners

Last updated on December 4th, 2024

Factors of 375

Q: What is the smallest factor of 375 other than 1?

So for the number 375 the smallest factor which is able to divide it, and leaves no remainder is 3, therefore the smallest factor of the number 375 is the number 3.

Q: What are the prime factors of 45?

By using the prime factorization method, we can see that 45 has two prime factors, 5 and 3. This also proves that the number 45 is a composite number.

Q: Is 375 a prime number?

A number that can only be split by two distinct divisors is a prime number, 375 has over two divisors, so it’s a non-prime (composite number).

Q: How many factors do prime numbers have?

According to the prime number definition, a number with only two distinct divisors or factors are known as prime numbers, and they must not have any prime factors of their own.

Q: Is 15 a factor of 225?

Yes, when we use the prime factorization method on 225 we find out that the prime factors of 225 are 3 and 5, proving that 5 is indeed a factor of 225.

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

In this topic, let's learn about factors. It is scarce to find numbers that will divide a given number up to the smallest unit without remainder. These numbers are known as the factors, and learning about factors happens when a student comes across a number or number pair in the real world.

What are the factors of 375?

With the help of the long division method, we can find out that 375 can be easily divided by 1, 3, 5, 15, 25, 75, 125, and 375. It is also worth remembering that numbers, having only 2 factors, are called prime numbers.

How to find the factors of 375

There are many methods which the students can use to find out the factors of a number. Some of the most used methods are given below.

Multiplication method

Division method

Prime factors and prime factorization

Factor tree

Finding factors using multiplication method

Multiplication method is quite an easy method where we find the pair of numbers which when multiplied with each other give the desired number. For 375 the pairs are.

1×375=375

3×125=375

5×75=375

15×25=375

Hence, we can conclude that the factors of 375 are 1, 3, 5, 15, 25, 75, 125, 375.

Finding factors by division method

In the division method, you need to divide the given number 375 by every number starting from 1. If any number is able to divide it without leaving any reminder, then that number is considered as one of its factors.

375÷1=375 (no remainder)

375÷3=125 (no remainder)

375÷5=75 (no remainder)

375÷15=25 (no remainder)

Prime factors and prime factorization

Prime factorization is done by dividing the number by prime numbers to see which prime number is able to divide it, and if it does, then that number is considered as a prime number.

375÷3= 125 (3 is a prime factor).

5 is also prime.

Therefore, prime factors of 375 are 3 and 5

Factor tree

A factor tree is a form of number tree, which is a diagram which represents simple division, where the number at the top is divided until it reaches a prime number or cannot be further divided.

Common mistakes and how to avoid them in factors of 375.

Factors of 375 Examples

Ray, the Character from BrightChamps Explaining Math Concepts

Problem 1

What is the least common multiple (LCM) of 6 and 10?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

Explanation

Problem 2

What is the highest factor of a number?

Explanation

Problem 3

Write the factors of 72 using prime factorization.

Explanation

FAQs on factors of 375

1.What is the smallest factor of 375 other than 1?

2.What are the prime factors of 45?

3.Is 375 a prime number?

4.How many factors do prime numbers have?

5.Is 15 a factor of 225?

Important glossaries for factors of 375

Divisor: Any integer that can be divided, with no remainder, by some other integer, is a divisor.

Prime Factorization: Writing a number as the product of its own prime factors.

Factor Pair: Multiplication of two factors to get a product.

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Hiralee Lalitkumar Makwana

About the Author

Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.