Definition of factors of 38: If a number completely divides 38 with the remainder zero, then that number is called a factor of 38. So we can say that the factors of 38 are the divisors of 38. In this section, we will learn about the factors of 38 and the prime factors of 38.

Table of Contents

## Highlights of Factors of 38

**38=2×19**is the prime factorization of 38.- The factors of 38 are 1, 2, 19, and 38.
- Prime factors of 38 are 2 and 19.
- Negative factors of 38 are –1, -2, -19, and –38.

## What are the factors of 38?

Let us write the number 38 multiplicatively in all possible ways. We have:

38 = 1×38 | 1, 38 are factors of 38 |

38 = 2×19 | 2, 19 are factors of 38 |

As we cannot express 38 multiplicatively in any other way, we obtain all the factors of 38. So the factors of 38 are 1, 2, 19, and 38.

We know that if m is a factor of 38, then -m is also a factor of 38. So all the negative pair factors of 38 are -1,-2, -19, and -38.

## Pair Factors of 38

38 = a×b | Factors in Pairs (a,b) |

38 = 1×38 | (1, 38) |

38 = 2×19 | (2, 19) |

Thus the positive pair factors of 38 are (1, 38) and (2, 19). And the negative pair factors of 38 are (-1, -38) and (-2, -19).

## Number of Factors of 38

From above we have calculated the factors of 38 which are 1, 2, 19, and 38. Thus the total number of factors of 38 is four.

## Prime Factors of 38

Note that the factors of 38 are 1, 2, 19, and 38. Among those factors, we observe that only 2 and 19 are prime numbers as they do not have any proper divisors.

∴ the prime factors of 38 are 2 and 19.

**Also Read:**

Factors of 47: | 1, 47 |

Factors of 19: | 1, 19 |

Factors of 6: | 1, 2, 3, 6 |

Factors of 14: | 1, 2, 7, 14 |

Question: What are the factors of 38?

Video Solution: coming soon…

## How to Find Factors of 38?

Now we will determine the factors of 38 by **division method**. In this method, we will find the numbers that can divide 38 with no remainder. See that

38/1=38 and the remainder is 0.

∴ 1 and 38 are factors of 38.

38/2=19 and the remainder is 0.

∴ 2 and 19 are factors of 38.

Note that no numbers other than the numbers in violet color can divide 38. So the numbers in violet color, that is, 1, 2, 19 and 38 are the complete list of factors of 38.

## FAQs on Factors of 38

**Q1: Find the factors of 38.**

Ans: The factors of 38 are 1, 2, 19, and 38.

**Q2: Find the sum of the factors of 38.**

Ans: The sum of the factors of 38 is equal to 1+2+19+38 = 60.

This article is written by Dr. T. Mandal, Ph.D in Mathematics. On Mathstoon.com you will find Maths from very basic level to advanced level. Thanks for visiting.