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

Posted by Kratagya Rathore 4 years, 8 months ago

CBSE > Class 10 > Mathematics

1 answers

Gaurav Seth 4 years, 8 months ago

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

Now the prime factor grouped together can be written as

Hence, the exponents for 2 and 5 are 1 and 3 respectively; therefore the sum of the exponent is

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

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ANSWER

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