Factors of 414

Answer

Factors: 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Number of factors: 12

Factor pairs: (1, 414), (2, 207), (3, 138), (6, 69), (9, 46), (18, 23)

Prime Factorization

414 = 2 × 32 × 23

Properties

  • This number is not prime
  • This number is not a perfect square
  • This is an even number
  • Sum of all factors: 936

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Understanding the Factors of 414

When we look at the number 414, we find that it has 12 factors in total. These are the numbers that divide evenly into 414 with no remainder.

This number is composite, meaning it has more than two factors. It can be written as the product of its prime factors: 2 × 32 × 23.

Factor Pairs

The factors of 414 can be arranged in pairs: (1, 414), (2, 207), (3, 138), (6, 69), (9, 46), (18, 23). Each pair multiplies to give 414.

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