เงื่อนไขการหารลงตัวโดยพิจารณาจากเลขโดดของจำนวนเต็มบวก

Nitiphoom Adsawatithisakul; Yanapat  Tongron; Supattra Kerdmongkon; Narubet Lapyingyong; Kanyaphak  Paikhlaew; Sukanda  Dankunprasert; Presarin  Tangsiridamrong; Anawin Chongaumklang

DIVISIBILITY CONDITIONS BASED ON DIGITS OF POSITIVE INTEGERS

Authors

Nitiphoom Adsawatithisakul 1Faculty of Science and Technology, Nakhon Ratchasima Rajabhat University
Yanapat Tongron Faculty of Science and Technology, Nakhon Ratchasima Rajabhat University
Supattra Kerdmongkon Faculty of Science and Technology, Nakhon Ratchasima Rajabhat University
Narubet Lapyingyong Faculty of Science and Technology, Nakhon Ratchasima Rajabhat University
Kanyaphak Paikhlaew Faculty of Science and Technology, Nakhon Ratchasima Rajabhat University
Sukanda Dankunprasert Faculty of Education, Mahasarakham University
Presarin Tangsiridamrong3 Surawiwat School, Suranaree University of Technology
Anawin Chongaumklang จุฬาลงกรณ์มหาวิทยาลัย

Keywords:

digit, the place of an integer, divisibility

Abstract

In this research, we study the necessary and sufficient conditions for any positive integer $N$ to be divisible by a given positive integer $m$ whenever $N\geq m$ . The conditions are related to digits in each place value of the positive integer $N$ . Applications of these conditions are also provided via examples and corollaries. Some of the examples and corollaries show that our main results are generalizations of previous results.

References

C. Hood. (2003). Divisibility tests in different number systems and their applications. [Senior Thesis] Millersville University. Pennsylvania, U.S.A.

J.-M. D. Konick and A. Mercier. (2007). 1001 Problems in Classical Number Theory. Providence Rhode Island: American Mathematical Society.

T. Jampawai. (2021). Conditions of Digit in The Places of Positive Integers Divisible by 7,.Mathematical Journal by The Mathematical Association of Thailand Under The Patronage of His Majesty The King, 66(705), 52-64.

Y. Nahir. (2008). On Divisibility Tests and The Curriculum Dilemma. Sutra: International Journal of Mathematical Science Education. 1(1), 16-29.

Y. Nahir. (2003). Tests of divisibility. International Journal for Mathematics Education in Science and Technology, 34, 581-591.

Y. Tongron and K. Paikhlaew. (2022). The Number of Integers Divisible by ak Except ak+lb. Science & Technology Asia. 2022, 27(3), 132–136.

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Published

2026-06-23

How to Cite

Adsawatithisakul, N., Tongron, Y., Kerdmongkon, S., Lapyingyong, N., Paikhlaew, K., Dankunprasert, S., Tangsiridamrong, P., & Chongaumklang, A. (2026). DIVISIBILITY CONDITIONS BASED ON DIGITS OF POSITIVE INTEGERS. Journal of Science and Technology Thonburi University, 10(1), 1–9. retrieved from https://ph03.tci-thaijo.org/index.php/trusci/article/view/4274