What is the prime factorization of 169?

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To calculate the prime factors of 169 enter a number in the field below and press decompose:

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Answer to the Factorization of 169

The factorization of 169 is equal to 13 × 13. We find these factors by successively dividing 169 by the prime numbers until we obtain the prime factors.

Factor Tree of 169

The prime factor tree of 169 is an illustration that shows how the number 169 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:

13 13
13 1

Steps to Factor the Number 169

1. Division by Smaller Prime Numbers:

Start by dividing the number 169 by the smallest prime numbers, starting with the smallest prime, which is 13.

169 ÷ 13 = 13

2. Obtaining Prime Factors:

Now, the numbers by which you divided 169 and got integer results are the prime factors of 169. In this case, we have 13 and 13.

3. Factorization Expression:

Write the factorization of the number 169 using its prime factors. The full factorization of 169 is:

169 = 13 × 13

These steps show how the number 169 can be factored into its prime components, which is helpful in understanding its structure and mathematical properties.

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