Question

lcm of 3125 step by step

Answer 1

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Answer 2

Answer:

So, the prime factorization of 3125 is $5^{5}$

Step-by-step explanation:

To find the factors of 3125, we will have to find the list of numbers that would divide 3125 without leaving any remainder.

3125/25 = 125; therefore, 25 is a factor of 3125 and 125 is also a factor of 3125.

3125/625 = 5; therefore, 625 is a factor of 3125 and 5 is also a factor of 3125.

Similarly we can find other factors. Hence, the factors of 3125 are 1, 5, 25, 125, 625, 3125.

The number 3125 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 3125. The first step is to divide the number 3125 with the smallest prime factor, here it is 5. We keep dividing until it gives a non-zero remainder.

3125 ÷ 5 = 625

625 ÷ 5 = 125

125 ÷ 5 = 25

25 ÷ 5 = 5

5 ÷ 5 = 1

Further dividing 1 by 5 gives a non-zero remainder. So we stop the process and continue dividing the number 1 by the next smallest prime factor. We stop ultimately if the next prime factor doesn't exist or when we can't divide any further.

Since, we can't divide any further in this case so we stop.

So, the prime factorization of 3125 is $5^{5}$

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