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Assuming you mean consecutive numbers are integers, then:

The integers will be the two integers between which the square root of 1406 lies.

Calculating the square root of 1406 using the "long" division method:

________3__7

_____----------

___3|_14_06

________9

_______---

__67|__506

________469

________----

_________37

The square root of 1406 is 37.<something>, thus it lies between 37 and 38, so:

1406 = 37 × 38

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Q: What two consecutive numbers have a product of 1406?
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