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What are two consecutive positive integers whose product is 156?

Published in Mathematics 1 min read

The two consecutive positive integers whose product is 156 are 12 and 13.

Here's how we can find them:

  • Understanding the Problem: We are looking for two numbers that are next to each other on the number line (consecutive) and when multiplied together, give us 156.
  • Trial and Error: We can start by trying a few numbers. Since 156 is a bit larger, we can start with numbers in the teens.
    • 10 x 11 = 110 (too small)
    • 12 x 13 = 156 (correct!)
  • Using Factors: We can also find the factors of 156. The factors are the numbers that divide evenly into 156. Some of the factors of 156 are 2, 3, 4, 6, 12, 13. Notice that 12 and 13 are consecutive and their product is 156.

Therefore, the answer is 12 and 13.

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