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What is the prime factorization of 49?
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To calculate the prime factors of 49 enter a number in the field below and press decompose:
Answer to the Factorization of 49
The factorization of 49 is equal to 7 × 7. We find these factors by successively dividing 49 by the prime numbers until we obtain the prime factors.
Factor Tree of 49
The prime factor tree of 49 is an illustration that shows how the number 49 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:
| 49 | |||||||||
| 7 | 7 | ||||||||
Steps to Factor the Number 49
1. Division by Smaller Prime Numbers:
Start by dividing the number 49 by the smallest prime numbers, starting with the smallest prime, which is 7.
49 ÷ 7 = 7
2. Obtaining Prime Factors:
Now, the numbers by which you divided 49 and got integer results are the prime factors of 49. In this case, we have 7 and 7.
3. Factorization Expression:
Write the factorization of the number 49 using its prime factors. The full factorization of 49 is:
49 = 7 × 7
These steps show how the number 49 can be factored into its prime components, which is helpful in understanding its structure and mathematical properties.
