What is the prime factorization of 175?

How to use the tool

To calculate the prime factors of 175 enter a number in the field below and press decompose:

Enter a number
in the field above

Answer to the Factorization of 175

The factorization of 175 is equal to 5 × 5 × 7. We find these factors by successively dividing 175 by the prime numbers until we obtain the prime factors.

Factor Tree of 175

The prime factor tree of 175 is an illustration that shows how the number 175 is decomposed into its fundamental prime factors, as 2, 3 and 5. This visual representation helps you understand the underlying structure of the number and how it is formed from smaller prime numbers.

Look at the following tree:

5 35
5 7

Steps to Factor the Number 175

1. Division by Smaller Prime Numbers:

Start by dividing the number 175 by the smallest prime numbers, starting with the smallest prime, which is 5.

175 ÷ 5 = 35

2. Continuação das Divisões:

Agora, continue dividindo o resultado da etapa anterior por números primos menores, até que não seja mais possível fazer divisões inteiras.

35 ÷ 5 = 7

3. Obtenção dos Fatores Primos:

Now, the numbers by which you divided 175 and got integer results are the prime factors of 175. In this case, we have 5 and 7.

4. Expressão da Fatoração:

Write the factorization of the number 175 using its prime factors. The full factorization of 175 is:

175 = 5 × 5 × 7

These steps show how the number 175 can be factored into its prime components, which is helpful in understanding its structure and mathematical properties.

Links to other factorizations