prime factor

Example Sentences

• "Hence, the prime factors of 100 are 1, 2, 2, 5, 5, and 1 × 2 × 2 × 5 × 5 = 100. From the above illustration, we derive the following rule for finding all the prime factors of any composite number."
• "Theorem 5.5 Dickman's Theorem. The probability of a number N chosen at random having a prime factor between N#92;alpha and N#123;#92;alpha(1#43;#92;delta)#125; is approximately #61;#92;delta, independent of the magnitude of #92;alpha, if #92;delta is small."
• "If any subset of the set of prime factors of a be taken, then the product of the elements of this subset is a factor of a. For example, 12 is a factor of 60 and the set of prime factors of 12 is {2, 2, 3}, which is a subset of {2, 2, 3, 5}, which is the set of prime factors of 60."
• "It became apparent to me that Mr. Genthner's open profession of being gay was the prime factor in his conviction and sentencing."
• "Any composite number can be prime factored; that is, it can be written as a product of prime numbers (excluding 1) in one and only one way.[…]When prime factoring numbers, it is standard to rearrange the factors so that the numbers are in increasing order."
• "For example, the number 30, which is not prime, can be prime factored as 2 x 3 x 5."