diff --git a/src/Mutator/Arithmetic/Division.php b/src/Mutator/Arithmetic/Division.php
index fe77a923a..5c2134553 100644
--- a/src/Mutator/Arithmetic/Division.php
+++ b/src/Mutator/Arithmetic/Division.php
@@ -56,6 +56,31 @@ public function mutate(Node $node)
 
     protected function mutatesNode(Node $node): bool
     {
-        return $node instanceof Node\Expr\BinaryOp\Div;
+        if (!$node instanceof Node\Expr\BinaryOp\Div) {
+            return false;
+        }
+
+        if ($this->isNumericOne($node->left) || $this->isNumericOne($node->right)) {
+            return false;
+        }
+
+        if ($node->left instanceof Node\Expr\UnaryMinus && $this->isNumericOne($node->left->expr)) {
+            return false;
+        }
+
+        if ($node->right instanceof Node\Expr\UnaryMinus && $this->isNumericOne($node->right->expr)) {
+            return false;
+        }
+
+        return true;
+    }
+
+    private function isNumericOne(Node $node): bool
+    {
+        if ($node instanceof Node\Scalar\LNumber && $node->value === 1) {
+            return true;
+        }
+
+        return $node instanceof Node\Scalar\DNumber && $node->value === 1.0;
     }
 }
diff --git a/src/Mutator/Arithmetic/Multiplication.php b/src/Mutator/Arithmetic/Multiplication.php
index 4557041fe..4969f18e8 100644
--- a/src/Mutator/Arithmetic/Multiplication.php
+++ b/src/Mutator/Arithmetic/Multiplication.php
@@ -56,6 +56,31 @@ public function mutate(Node $node)
 
     protected function mutatesNode(Node $node): bool
     {
-        return $node instanceof Node\Expr\BinaryOp\Mul;
+        if (!$node instanceof Node\Expr\BinaryOp\Mul) {
+            return false;
+        }
+
+        if ($this->isNumericOne($node->left) || $this->isNumericOne($node->right)) {
+            return false;
+        }
+
+        if ($node->left instanceof Node\Expr\UnaryMinus && $this->isNumericOne($node->left->expr)) {
+            return false;
+        }
+
+        if ($node->right instanceof Node\Expr\UnaryMinus && $this->isNumericOne($node->right->expr)) {
+            return false;
+        }
+
+        return true;
+    }
+
+    private function isNumericOne(Node $node): bool
+    {
+        if ($node instanceof Node\Scalar\LNumber && $node->value === 1) {
+            return true;
+        }
+
+        return $node instanceof Node\Scalar\DNumber && $node->value === 1.0;
     }
 }
diff --git a/tests/Mutator/Arithmetic/DivisionTest.php b/tests/Mutator/Arithmetic/DivisionTest.php
index be7dba653..56c4147d7 100644
--- a/tests/Mutator/Arithmetic/DivisionTest.php
+++ b/tests/Mutator/Arithmetic/DivisionTest.php
@@ -50,10 +50,9 @@ public function test_mutator($input, $expected = null): void
         $this->doTest($input, $expected);
     }
 
-    public function provideMutationCases(): array
+    public function provideMutationCases(): \Generator
     {
-        return [
-            'It changes regular divison' => [
+        yield 'It changes regular divison' => [
                 <<<'PHP'
 <?php
 
@@ -65,31 +64,79 @@ public function provideMutationCases(): array
 
 $a = 10 * 2;
 PHP
-                ,
-            ],
-            'It does not change division equals' => [
+        ];
+
+        yield 'It does not change division equals' => [
                 <<<'PHP'
 <?php
 
 $a = 10;
 $a /= 5;
 PHP
-                ,
-            ],
         ];
-    }
 
-    public function test_replaces_division_with_multiplication(): void
-    {
-        $code = '<?php 1 / 2;';
-        $mutations = $this->mutate($code);
+        yield 'It does not mutate when the left side is 1 to avoid an equivalent mutation' => [
+            <<<'PHP'
+<?php
 
-        $expectedMutatedCode = <<<'PHP'
+$a = 1 / $b;
+PHP
+        ];
+
+        yield 'It does not mutate when the right side is 1 to avoid an equivalent mutation' => [
+            <<<'PHP'
 <?php
 
-1 * 2;
-PHP;
+$a = $b / 1;
+PHP
+        ];
+
+        yield 'It does not mutate when the left side is -1 to avoid an equivalent mutation' => [
+            <<<'PHP'
+<?php
+
+$a = -1 / $b;
+PHP
+        ];
+
+        yield 'It does not mutate when the right side is -1 to avoid an equivalent mutation' => [
+            <<<'PHP'
+<?php
 
-        $this->assertSame($expectedMutatedCode, $mutations[0]);
+$a = $b / -1;
+PHP
+        ];
+
+        yield 'It does not mutate when the left side is 1.0 to avoid an equivalent mutation' => [
+            <<<'PHP'
+<?php
+
+$a = 1.0 / $b;
+PHP
+        ];
+
+        yield 'It does not mutate when the right side is 1.0 to avoid an equivalent mutation' => [
+            <<<'PHP'
+<?php
+
+$a = $b / 1.0;
+PHP
+        ];
+
+        yield 'It does not mutate when the left side is -1.0 to avoid an equivalent mutation' => [
+            <<<'PHP'
+<?php
+
+$a = -1.0 / $b;
+PHP
+        ];
+
+        yield 'It does not mutate when the right side is -1.0 to avoid an equivalent mutation' => [
+            <<<'PHP'
+<?php
+
+$a = $b / -1.0;
+PHP
+        ];
     }
 }
diff --git a/tests/Mutator/Arithmetic/MultiplicationTest.php b/tests/Mutator/Arithmetic/MultiplicationTest.php
index 00beb094a..e30bd7eb2 100644
--- a/tests/Mutator/Arithmetic/MultiplicationTest.php
+++ b/tests/Mutator/Arithmetic/MultiplicationTest.php
@@ -50,10 +50,9 @@ public function test_mutator($input, $expected = null): void
         $this->doTest($input, $expected);
     }
 
-    public function provideMutationCases(): array
+    public function provideMutationCases(): \Generator
     {
-        return [
-            'It mutates normal multiplication' => [
+        yield 'It mutates normal multiplication' => [
                 <<<'PHP'
 <?php
 
@@ -65,17 +64,79 @@ public function provideMutationCases(): array
 
 $a = 10 / 3;
 PHP
-                ,
-            ],
-            'It does not mutate multiplication equals' => [
+        ];
+
+        yield 'It does not mutate multiplication equals' => [
                 <<<'PHP'
 <?php
 
 $a = 1;
 $a *= 2;
 PHP
-                ,
-            ],
+        ];
+
+        yield 'It does not mutate when the left side is 1 to avoid an equivalent mutation' => [
+            <<<'PHP'
+<?php
+
+$a = 1 * $b;
+PHP
+        ];
+
+        yield 'It does not mutate when the right side is 1 to avoid an equivalent mutation' => [
+            <<<'PHP'
+<?php
+
+$a = $b * 1;
+PHP
+        ];
+
+        yield 'It does not mutate when the left side is -1 to avoid an equivalent mutation' => [
+            <<<'PHP'
+<?php
+
+$a = -1 * $b;
+PHP
+        ];
+
+        yield 'It does not mutate when the right side is -1 to avoid an equivalent mutation' => [
+            <<<'PHP'
+<?php
+
+$a = $b * -1;
+PHP
+        ];
+
+        yield 'It does not mutate when the left side is 1.0 to avoid an equivalent mutation' => [
+            <<<'PHP'
+<?php
+
+$a = 1.0 * $b;
+PHP
+        ];
+
+        yield 'It does not mutate when the right side is 1.0 to avoid an equivalent mutation' => [
+            <<<'PHP'
+<?php
+
+$a = $b * 1.0;
+PHP
+        ];
+
+        yield 'It does not mutate when the left side is -1.0 to avoid an equivalent mutation' => [
+            <<<'PHP'
+<?php
+
+$a = -1.0 * $b;
+PHP
+        ];
+
+        yield 'It does not mutate when the right side is -1.0 to avoid an equivalent mutation' => [
+            <<<'PHP'
+<?php
+
+$a = $b * -1.0;
+PHP
         ];
     }
 }