Question

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

Answer 1

Dear student , 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=2502×5×5×5=250 Now the prime factor grouped together can be written as 2\times5^32×5 3 Hence, the exponents for 2 and 5 are 1 and 3 respectively; therefore the sum of the exponent is1 + 3 = 4.1+3=4. Hence, the sum of exponents of prime factors in the prime factorization of 250 = 4.Regards...