Critérios de Divisibilidade

Authors

  • Athos Athos de Azevedo Pereira Univesidade Federal de Ouro Preto
  • Sávio Ribas

DOI:

https://doi.org/10.63801/rmat.v1i.7879

Keywords:

Critérios de divisibilidade., Congruência, Ordem

Abstract

In this paper, we will explore how to construct divisibility criteria for numbers written in the decimal base by any integer d > 1. To achieve this, we will use congruences and the order of 10 modulo d to explain the construction of these criteria. We will present some criteria that are useful and others that may not be as practical but can still be applied computationally. These criteria include the well-known cases of divisibility by 2 , 4, 8, 5, 25, 3, 9, and 11, as well as lesser-known yet simple cases, such as 37. Furthermore, if  d is a prime power, the presented criteria will preserve the remainder when divisibility by d does not hold.

References

MARTINEZ, F.; MOREIRA, C.; SALDANHA, N.; TENGAN, E. Teoria dos números: um passeio com309 primos e outros números. IMPA, Rio de Janeiro, 5ª edição, 2018. SANTOS, J. P. d. O. Introdução à teoria dos números. [S.l.]: IMPA, 1998.

Published

2025-10-08

Issue

Section

Artigos

How to Cite

Critérios de Divisibilidade. (2025). Revista de Matemática Da UFOP, 1. https://doi.org/10.63801/rmat.v1i.7879