The Bomb Vest Threat

Yesterday I was threatened with a bomb by Moriarty, a criminal mastermind who dislikes Sherlock and I.  At one point, we reached a standoff with Moriarty, in which a bomb vest lay between Sherlock and I and Moriarty, and snipers had trained their guns on Sherlock and I at Moriarty's request.  Sherlock had a gun pointed at the bomb vest, ready to blow it up.  If he had blown up the vest, which weighed about 2.267 kg, it would have exploded apart into a hundred pieces.  The momentum of the entire thing would be conserved because 0 = m₁v₁ + m₂v₂

Assuming for the purposes of this equation, the bomb would explode into four parts, all equal in size and velocity, then m₁ =0.56675, m₂ = 0.56675, m₃=0.56675, and m₄=0.56675, and they were all traveling in different directions, then the momentum would cancel out and it would equal zero.