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What is the product of two consecutive positive integers if it is 420?

Published in Mathematics 1 min read

The two consecutive positive integers whose product is 420 are 20 and 21.

Here's how to find them:

  • Understanding the Problem: We need to find two consecutive integers (numbers that follow each other) that, when multiplied together, give us 420.
  • Using Factors: We can start by finding the factors of 420 (numbers that divide evenly into 420). Some of the factors are 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, etc.
  • Finding the Consecutive Pair: We notice that 20 and 21 are consecutive and their product is 420 (20 * 21 = 420).

Therefore, the two consecutive positive integers that multiply to 420 are 20 and 21.

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