


Factors and Multiples
Factors and Multiples
Last updated at July 8, 2025 by Teachoo
Transcript
Perfect numbers If Sum of all factors is equal to twice the number, then number is called a perfect number For 6 Factors of 6 are 1, 2, 3, 6 Sum of factors = 1 + 2 + 3 + 6 = 12 Since 12 = 2 × 6 ∴ Sum of factors is equal to twice the number So, 6 is a perfect number For 28 Factors of 28 are 1, 2, 4, 7, 14, 28 Sum of factors = 1 + 2 + 4 + 7 + 14 + 28 = 56 Since 56 = 2 × 28 ∴ Sum of factors is equal to twice the number So, 28 is a perfect number For 10 Factors of 10 are 1, 2, 5, 10 Sum of factors = 1 + 2 + 5 + 10 = 18 Since 18 is not twice of 10 So, 10 is not a perfect number First 10 perfect numbers are 6 28 496 8128 33550336 8589869056 137438691328 2305843008139952128 2658455991569831744654692615953842176 191561942608236107294793378084303638130997321548169216