diff --git a/Project.toml b/Project.toml
index 7df4fd2..f8c69a3 100644
--- a/Project.toml
+++ b/Project.toml
@@ -3,5 +3,9 @@ uuid = "3821ddf9-e5b5-40d5-8e25-6813ab96b5e2"
 authors = ["Mosè Giordano <mose@gnu.org>"]
 version = "0.1.0"
 
+[deps]
+CheckedSizeProduct = "1b2cc9da-92e3-4b71-9788-30fc110eefda"
+
 [compat]
+CheckedSizeProduct = "1"
 julia = "1.10"
diff --git a/src/FixedSizeArray.jl b/src/FixedSizeArray.jl
index c197726..85c6a0c 100644
--- a/src/FixedSizeArray.jl
+++ b/src/FixedSizeArray.jl
@@ -96,32 +96,17 @@ Base.isassigned(a::FixedSizeArray, i::Int) = isassigned(a.mem, i)
 
 # safe product of a tuple of integers, for calculating dimensions size
 
-checked_dims_impl(a::Int, ::Tuple{}, have_overflow::Bool) = (a, have_overflow)
-function checked_dims_impl(a::Int, t::Tuple{Int,Vararg{Int,N}}, have_overflow::Bool) where {N}
-    b = first(t)
-    (m, o) = Base.Checked.mul_with_overflow(a, b)
-    r = Base.tail(t)::NTuple{N,Int}
-    checked_dims_impl(m, r, have_overflow | o)::Tuple{Int,Bool}
-end
-
 checked_dims(::Tuple{}) = 1
 function checked_dims(t::Tuple{Int,Vararg{Int,N}}) where {N}
-    any_is_zero     = any(iszero,                 t)::Bool
-    any_is_negative = any((x -> x < false),       t)::Bool
-    any_is_typemax  = any((x -> x == typemax(x)), t)::Bool
-    a = first(t)
-    r = Base.tail(t)::NTuple{N,Int}
-    (product, have_overflow) = checked_dims_impl(a, r, false)::Tuple{Int,Bool}
-    if any_is_negative
-        throw(ArgumentError("array dimension size can't be negative"))
-    end
-    if any_is_typemax
-        throw(ArgumentError("array dimension size can't be the maximum representable value"))
-    end
-    if have_overflow & !any_is_zero
+    product = checked_size_product(t)
+    if product isa Int
+        product
+    else
+        if product isa CheckedSizeProduct.StatusInvalidValue
+            throw(ArgumentError("invalid array dimension size, can't be negative or the maximum representable value"))
+        end
         throw(ArgumentError("array dimensions too great, can't represent length"))
     end
-    product
 end
 
 # broadcasting
diff --git a/src/FixedSizeArrays.jl b/src/FixedSizeArrays.jl
index 7470cd7..a84cdea 100644
--- a/src/FixedSizeArrays.jl
+++ b/src/FixedSizeArrays.jl
@@ -1,5 +1,7 @@
 module FixedSizeArrays
 
+using CheckedSizeProduct
+
 const default_underlying_storage_type = (@isdefined Memory) ? Memory : Vector
 
 const optional_memory = (@isdefined Memory) ? (Memory,) : ()