Advertisements
Advertisements
प्रश्न
Write the sum of the exponents of prime factors in the prime factorization of 98.
उत्तर
Using the factor tree for prime factorization, we have:
Therefore,
`98=2xx7xx7`
`98=2xx7^2`
The exponents of 2 and 7 are 1 and 2 respectively.
Hence the sum of the exponents is 3
APPEARS IN
संबंधित प्रश्न
Explain why 7 × 11 × 13 + 13 and 7 × 6 × 5 × 4 × 3 × 2 × 1 + 5 are composite numbers.
State Fundamental Theorem of Arithmetic.
If the prime factorization of a natural number n is 23 ✕ 32 ✕ 52 ✕ 7, write the number of consecutive zeros in n.
Express the number as a product of its prime factor:
7429
Find the L.C.M. and H.C.F. of 408 and 170 by applying the fundamental theorem of Arithmetic
Find the greatest number consisting of 6 digits which is exactly divisible by 24, 15, 36?
Three farmers have 490 kg, 588 kg and 882 kg of wheat respectively. Find the maximum capacity of a bag so that the wheat can be packed in exact number of bags.
If two positive integers A and B can be expressed as A = xy3 and B = x4y2z; x, y being prime numbers then HCF (A, B) is ______.
Let a and b be two positive integers such that a = p3q4 and b = p2q3, where p and q are prime numbers. If HCF (a, b) = pmqn and LCM (a, b) = prqs, then (m + n)(r + s) = ______.
The LCM of smallest 2-digit number and smallest composite number is ______.