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If the estimated value is very different from the calculated value then the answer is wrong. Unfortunately, it does not work the other way. An estimate can be close to the calculated value but the answer can still be wrong.

Q: How can estimation help to decide if answer to multiplication problem makes sense?

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How about 3*7*11 = 231 as a product of its prime factors

79 x 1 39.5 x 2

6x2x2

How about: 8*9 = 72

As a product of its prime factors: 2*2*41 = 164

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You multiply it and your finding space of what it has. The multiplication makes the squared.

As a product of its prime factors: 2*2*19 = 76

How about 3*7*11 = 231 as a product of its prime factors

79 x 1 39.5 x 2

6x2x2

37 x 2

How about: 8*9 = 72

As a product of its prime factors: 2*2*41 = 164

They are: 3*7 = 21 or 1*21 = 21

3 times 35 equals 105

1 x 38, 2 x 19.

1 x 293, 293 x 1.