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Learn how to find the factors of 35, including positive and negative factors, prime factors, and factor pairs. See how to use prime factorization to express 35 as a product of two prime numbers and solve problems involving factors of 35. Learn how to find the factors, pair factors, prime factors and prime factorization of 35 using division and prime factorization methods. See examples, video lesson and FAQs on factors of 35. The factors of 35 are: 1, 5, 7, 35. The prime factorization is: 35 = 5 x 7. Calculate the square root of 35 which is 5.9161, and round it down to the closest whole number, 5, and use it in the next step. Test the integer values 1 through 5 for division into 35 where the remainder equals 0. Factors of 35 are 1, 5, 7 and 35, while factor pairs of 35 are (1, 35), and (5, 7). A factor of a number is an integer that can completely divide a number without leaving any remainder. In this case, factors of 35 are numbers that can completely divide 35.