Question

Write the sum of exponents of prime factors in the prime factorisation of 250.

Answer 1

4 is the sum of exponents of prime factors in the prime factorization of 250.

Given:

250

To find:

Sum of exponents of prime factors in the prime factorization =?

Solution:

Prime factors are those prime numbers which constitute to the formation of a number by multiplication of smaller prime numbers.

Now, let us first take the prime factors of the number 250, we get

$2\times5\times5\times5=250$

Now the prime factor grouped together can be written as $2\times5^3$

Hence, the exponents for 2 and 5 are 1 and 3 respectively; therefore the sum of the exponent is$1 + 3 = 4.$

Hence, the sum of exponents of prime factors in the prime factorization of 250 = 4.

Answer 2

Answer:

Sum of exponents =4

Step-by-step explanation:

Given number 250

2| 250

_______

5| 125

_______

5| 25

_______

* * 5

250 = 2×5×5×5

= 2¹×5³

Sum of exponents = 1+3 =4

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