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Number Theory
Prime Factorization and Divisors
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Concept Quizzes
\[ 72 = 8 \times 9 \]
What is the largest prime factor of \( 72 \)?
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by Brilliant Staff
Which of these sets lists all of the prime factors of \( 120 \)?
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by Brilliant Staff
How many distinct prime factors does \( 2^{8}-1 \) have?
Hint: You can use the difference of squares formula to help factor.
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by Brilliant Staff
What is the sum of all the distinct prime factors of \(495\)?
Details and assumptions
Only add the prime factor once. For example, the sum of the prime factors of \(45 = 3^2\times 5\) is \(3 + 5 = 8\), not \(3 + 3 + 5 = 11\).
Excel in math and science
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by Brilliant Staff
Which of these numbers has more distinct prime factors?
\[ 45 \quad 56 \]
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by Brilliant Staff