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What is the prime factorization of 2700?
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To calculate the prime factors of 2700 enter a number in the field below and press decompose:
Answer to the Factorization of 2700
The factorization of 2700 is equal to 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5. We find these factors by successively dividing 2700 by the prime numbers until we obtain the prime factors.
Factor Tree of 2700
The prime factor tree of 2700 is an illustration that shows how the number 2700 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:
| 2700 | ||||||||||
| 2 | 1350 | |||||||||
| 2 | 675 | |||||||||
| 3 | 225 | |||||||||
| 3 | 75 | |||||||||
| 3 | 25 | |||||||||
| 5 | 5 | |||||||||
Steps to Factor the Number 2700
1. Division by Smaller Prime Numbers:
Start by dividing the number 2700 by the smallest prime numbers, starting with the smallest prime, which is 2.
2700 ÷ 2 = 1350
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.
1350 ÷ 2 = 675
675 ÷ 3 = 225
225 ÷ 3 = 75
75 ÷ 3 = 25
25 ÷ 5 = 5
3. Obtenção dos Fatores Primos:
Now, the numbers by which you divided 2700 and got integer results are the prime factors of 2700. In this case, we have 2, 2, 3, 3, 3, 5 and 5.
4. Expressão da Fatoração:
Write the factorization of the number 2700 using its prime factors. The full factorization of 2700 is:
2700 = 2 × 2 × 3 × 3 × 3 × 5 × 5
These steps show how the number 2700 can be factored into its prime components, which is helpful in understanding its structure and mathematical properties.
