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2. Table of prime factors - Wikipedia

   en.wikipedia.org/wiki/Table_of_prime_factors

   The first: 1, 2, 6, 24, 120, 720, 5040, 40320, 362880, 3628800, 39916800, 479001600 (sequence A000142 in the OEIS). 0! = 1 is sometimes included. A k-smooth number (for a natural number k) has its prime factors ≤ k (so it is also j-smooth for any j > k). m is smoother than n if the largest prime factor of m is below the largest of n.

3. Integer factorization - Wikipedia

   en.wikipedia.org/wiki/Integer_factorization

   In mathematics, integer factorization is the decomposition of a positive integer into a product of integers. Every positive integer greater than 1 is either the product of two or more integer factors greater than 1, in which case it is a composite number, or it is not, in which case it is a prime number.

4. Ages of Three Children puzzle - Wikipedia

   en.wikipedia.org/wiki/Ages_of_Three_Children_puzzle

   The prime factors of 72 are 2, 2, 2, 3 and 3; in other words, 2 × 2 × 2 × 3 × 3 = 72. This gives the following triplets of possible solutions: Age one

5. Composite number - Wikipedia

   en.wikipedia.org/wiki/Composite_number

   If none of its prime factors are repeated, it is called squarefree. (All prime numbers and 1 are squarefree.) For example, 72 = 2 3 × 3 2, all the prime factors are repeated, so 72 is a powerful number. 42 = 2 × 3 × 7, none of the prime factors are repeated, so 42 is squarefree. Euler diagram of numbers under 100:

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7. 120 (number) - Wikipedia

   en.wikipedia.org/wiki/120_(number)

   The sum of its factors (including one and itself) sum to 360, exactly three times 120. Perfect numbers are order two ( 2-perfect ) by the same definition. 120 is the sum of a twin prime pair (59 + 61) and the sum of four consecutive prime numbers (23 + 29 + 31 + 37), four consecutive powers of two (8 + 16 + 32 + 64), and four consecutive powers ...

8. Factorization - Wikipedia

   en.wikipedia.org/wiki/Factorization

   The polynomial x 2 + cx + d, where a + b = c and ab = d, can be factorized into (x + a)(x + b).. In mathematics, factorization (or factorisation, see English spelling differences) or factoring consists of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind.

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