diff --git a/src/dispatch.jl b/src/dispatch.jl
index 5ba9d60..32a5da6 100644
--- a/src/dispatch.jl
+++ b/src/dispatch.jl
@@ -475,19 +475,54 @@ Base.:*(A::AbstractArray, α::AbstractMutable) = A .* α
 # Needed for Julia v1.0, otherwise, `broadcast(*, α, A)` gives a `Array` and
 # not a `Symmetric`.
 
-_mult_upper(α, A) = parent(α * LinearAlgebra.UpperTriangular(parent(A)))
-_mult_lower(α, A) = parent(α * LinearAlgebra.LowerTriangular(parent(A)))
+function _mult_triangle(
+    ::Type{T},
+    x,
+    A::T,
+) where {T<:Union{LinearAlgebra.Symmetric,LinearAlgebra.Hermitian}}
+    c = LinearAlgebra.sym_uplo(A.uplo)
+    B = if c == :U
+        parent(x * LinearAlgebra.UpperTriangular(parent(A)))
+    else
+        parent(x * LinearAlgebra.LowerTriangular(parent(A)))
+    end
+    # Intermediate conversion to `Matrix` is needed to work around
+    # https://github.com/JuliaLang/julia/issues/52895
+    return T(Matrix(T(B, c)), c)
+end
 
 function Base.:*(α::Number, A::LinearAlgebra.Symmetric{<:AbstractMutable})
-    c = LinearAlgebra.sym_uplo(A.uplo)
-    B = c == :U ? _mult_upper(α, A) : _mult_lower(α, A)
-    return LinearAlgebra.Symmetric(B, c)
+    return _mult_triangle(LinearAlgebra.Symmetric, α, A)
 end
 
+Base.:*(A::LinearAlgebra.Symmetric{<:AbstractMutable}, α::Number) = α * A
+
+function Base.:*(
+    α::AbstractMutable,
+    A::LinearAlgebra.Symmetric{<:AbstractMutable},
+)
+    return _mult_triangle(LinearAlgebra.Symmetric, α, A)
+end
+
+function Base.:*(
+    A::LinearAlgebra.Symmetric{<:AbstractMutable},
+    α::AbstractMutable,
+)
+    return α * A
+end
+
+function Base.:*(α::AbstractMutable, A::LinearAlgebra.Symmetric)
+    return _mult_triangle(LinearAlgebra.Symmetric, α, A)
+end
+
+Base.:*(A::LinearAlgebra.Symmetric, α::AbstractMutable) = α * A
+
 function Base.:*(α::Real, A::LinearAlgebra.Hermitian{<:AbstractMutable})
-    c = LinearAlgebra.sym_uplo(A.uplo)
-    B = c == :U ? _mult_upper(α, A) : _mult_lower(α, A)
-    return LinearAlgebra.Hermitian(B, c)
+    return _mult_triangle(LinearAlgebra.Hermitian, α, A)
+end
+
+function Base.:*(A::LinearAlgebra.Hermitian{<:AbstractMutable}, α::Real)
+    return α * A
 end
 
 # These three have specific methods that just redirect to `Matrix{T}` which
diff --git a/test/dispatch.jl b/test/dispatch.jl
index 3c8eade..37f18e6 100644
--- a/test/dispatch.jl
+++ b/test/dispatch.jl
@@ -44,16 +44,38 @@ end
     end
 end
 
-@testset "*(::Real, ::Union{Hermitian,Symmetric})" begin
+@testset "*(::Real, ::Hermitian)" begin
     A = DummyBigInt[1 2; 2 3]
     B = DummyBigInt[2 4; 4 6]
-    @test MA.isequal_canonical(2 * A, B)
-    C = LinearAlgebra.Symmetric(B)
-    @test MA.isequal_canonical(2 * LinearAlgebra.Symmetric(A, :U), C)
-    @test MA.isequal_canonical(2 * LinearAlgebra.Symmetric(A, :L), C)
     D = LinearAlgebra.Hermitian(B)
-    @test all(MA.isequal_canonical.(2 * LinearAlgebra.Hermitian(A, :L), D))
-    @test all(MA.isequal_canonical.(2 * LinearAlgebra.Hermitian(A, :U), D))
+    for s in (:L, :U)
+        Ah = LinearAlgebra.Hermitian(A, s)
+        @test all(MA.isequal_canonical.(2 * Ah, D))
+        @test all(MA.isequal_canonical.(Ah * 2, D))
+    end
+end
+
+@testset "*(::AbstractMutable, ::Symmetric)" begin
+    for A in ([1 2; 5 3], DummyBigInt[1 2; 5 3])
+        for x in (2, DummyBigInt(2))
+            for s in (:L, :U)
+                # *(::AbstractMutable, ::Symmetric)
+                B = LinearAlgebra.Symmetric(A, s)
+                C = LinearAlgebra.Symmetric(x * A, s)
+                D = x * B
+                @test D isa LinearAlgebra.Symmetric
+                @test MA.isequal_canonical(D, C)
+                @test MA.isequal_canonical(D + D, 2 * D)
+                # *(::Symmetric, ::AbstractMutable)
+                B = LinearAlgebra.Symmetric(A, s)
+                C = LinearAlgebra.Symmetric(A * x, s)
+                D = B * x
+                @test D isa LinearAlgebra.Symmetric
+                @test MA.isequal_canonical(D, C)
+                @test MA.isequal_canonical(D + D, 2 * D)
+            end
+        end
+    end
 end
 
 @testset "*(::Complex, ::Hermitian)" begin