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Q: What property when product is not affected by the grouping of the factors?

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The commutative property of multiplication

prime factors of 57 = 3 * 19 prime factors of 494 = 2 * 13 * 19 product of common prime factor grouping: 19 Therefore, 19 is the GCF of 57 and 494

the product! The product of two factors.

The product of all of the factors of 12 is 1,728 .

Yes, factors are numbers you multiply to get a product.

Related questions

Associative Property

Changing the grouping of the factors. The product stays the same.

The commutative property of multiplication

The associative property.

True.

No, but if you're talking about factors, the result is a product. (a × b) × c = a × (b × c)

Commutative: a + b = b + a a × b = b × a Associative: (a + b) + c = a + (b + c) (a × b) × c = a × (b × c) Commutative states that the sum or product remains the same no matter the order of the factors. Associative states that the sum or product remains the same no matter the grouping of the factors.

The Commutative Property of Multiplication states that changing the order of the factors does not change the product

The Associative Property of Addition and Multiplication states that the sum or product will be the same no matter the grouping of the addends or factors. Associative: (a + b) + c = a + (b + c) (a × b) × c = a × (b × c)

An observation that grouping or associating numbers in differing orders results in the same product during a multiplication operation....

The addition or multiplication of a set of numbers is the same regardless of how the numbers are grouped. The associative property will involve 3 or more numbers. The parenthesis indicates the terms that are considered one unit.The groupings (Associative Property) are within the parenthesis. Hence, the numbers are 'associated' together. In multiplication, the product is always the same regardless of their grouping. The Associative Property is pretty basic to computational strategies. Remember, the groupings in the brackets are always done first, this is part of the order of operations.When we change the groupings of addends, the sum does not change:(2 + 5) + 4 = 11 or 2 + (5 + 4) = 11(9 + 3) + 4 = 16 or 9 + (3 + 4) = 16Just remember that when the grouping of addends changes, the sum remains the same.Multiplication ExampleWhen we change the groupings of factors, the product does not change:(3 x 2) x 4 = 24 or 3 x (2 x 4) = 24.Just remember that when the grouping of factors changes, the product remains the same.Think Grouping! Changing the grouping of addends does not change the sum, changing the groupings of factors, does not change the product.*** 4x(25x27) = (4x25)x27***

The commutative property of multiplication states that changing the order of the factors does not change the product.

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