The present invention provides an insect or arthropod pesticidal composition.The composition includes active ingredientshaving a mixture of fatty acids, each of the fatty acids having a straightcarbon chain from 6 to 12 carbon atoms long.The fatty acid mixture includes a first fatty acid molecule having a straightcarbon chain from 6 to 8 carbon atoms long, and a carboxylicacid group. The fatty acid mixture also includes a second fatty acid moleculehaving a straight carbon chain from 8 to 12carbon atoms long, and a carboxylic acid group. The composition also includesa carrier that promotes adherence or absorption ortransport across the surface of insects or arthropods to effect theirincapacitation or death.