58×7

58×7 is the product of the integers 58 and 7. The standard result is 406. It can be obtained by the usual multiplication algorithm or by decomposition: 58×7 = (50+8)×7 = 350+56 = 406. Another quick method uses the nearby multiple of 60: 58×7 = (60−2)×7 = 420−14 = 406. The equality 58×7 = 7×58 illustrates the commutative property of multiplication.

The prime factorization of the product is 406 = 2 × 7 × 29, since 58 = 2 × 29. Therefore 58×7 shares these prime factors and is even. In education, 58×7 is used as a practice example for multi-digit multiplication and for teaching the distributive property.