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Which of the following numbers has the largest number of unique prime factors?: {573, 951, 825, 639}

Answer 1

Emery Allen

#825=3*5^2*11#

#573 = 3*191# #951 = 3*317# #825=3*5^2*11# #639 = 3^2*71#

As seen above, all of #573, 951,# and #639# have two distinct prime factors, whereas #825# has three.

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Answer 2

Mila Anderson

To determine which number has the largest number of unique prime factors among {573, 951, 825, 639}, we need to factorize each number into its prime factors and count the unique primes.

Factorization: 573 = 3 * 191 951 = 3 * 317 825 = 3 * 5^2 * 11 639 = 3^2 * 71

Unique prime factors: 573: 2 unique primes (3, 191) 951: 2 unique primes (3, 317) 825: 3 unique primes (3, 5, 11) 639: 2 unique primes (3, 71)

Among these numbers, 825 has the largest number of unique prime factors (3 unique primes).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.