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To calculate the prime factors of 420 enter a number in the field below and press decompose:
The factorization of 420 is equal to 2 × 2 × 3 × 5 × 7. We find these factors by successively dividing 420 by the prime numbers until we obtain the prime factors.
The prime factor tree of 420 is an illustration that shows how the number 420 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:
| 420 | |||||||||||||||||||||
| 2 | 210 | ||||||||||||||||||||
| 2 | 105 | ||||||||||||||||||||
| 3 | 35 | ||||||||||||||||||||
| 5 | 7 | ||||||||||||||||||||
Start by dividing the number 420 by the smallest prime numbers, starting with the smallest prime, which is 2.
420 ÷ 2 = 210
Agora, continue dividindo o resultado da etapa anterior por números primos menores, até que não seja mais possível fazer divisões inteiras.
210 ÷ 2 = 105
105 ÷ 3 = 35
35 ÷ 5 = 7
Now, the numbers by which you divided 420 and got integer results are the prime factors of 420. In this case, we have 2, 2, 3, 5 and 7.
Write the factorization of the number 420 using its prime factors. The full factorization of 420 is:
420 = 2 × 2 × 3 × 5 × 7
These steps show how the number 420 can be factored into its prime components, which is helpful in understanding its structure and mathematical properties.