Question

Express 3825 as a product of its prime factors​

Answer 1

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Answer 2

Given:

A number: 3825

To find:

3825 as prime factors' product

Solution:

The required product is $3^{2}$×$5^{2}$×17.

We can determine the given number's prime factors by expanding it as a product of all its prime factors.

The number=3825

We will obtain its prime factors-

Prime factors of 3825=3×3×5×5×17

=$3^{2}$×$5^{2}$×17

So, the given number's factors that are prime are 3, 5, and 17.

Therefore, the required product is $3^{2}$×$5^{2}$×17.