Factors of 39
The factors of 39 are whole numbers that divide it exactly without leaving a remainder. They appear in positive and negative pairs, like (1, 39) or (-1, -39), and are always integers, never fractions or decimals. You can find them using methods such as division or prime factorization. Learning about factors helps build a foundation for understanding divisibility, multiples, and prime numbers. In this guide, we'll explore the different types of factors of 39, including all positive factors, factor pairs, and the prime factorization of 39 with step-by-step explanations and examples.
What are the Factors of 39?
There are 4 factors of 39. The factors of 39 are 1, 3, 13 and 39. Factors can be negative. The negative factors are -1, -3, -13 and -39. All of these numbers divides 39 completely. 39 is a composite number because it has other factors besides 1 and 39.
Factors of 39: 1, 3, 13 and 39
Factor Pairs of 39
The factor pairs of 39 are the pairs of integers that multiply together to give 39. These include both positive and negative combinations. The positive factor pairs of 39 are (1, 39), (3, 13), and the negative factor pairs are (-1, -39), (-3, -13). Knowing the factor pairs of 39 is useful for learning multiplication, division, and understanding concepts such as the greatest common factor and prime factorization.
Positive Factor Pairs of 39:
| Factor 1 | Factor 2 |
|---|---|
| 1 | 39 |
| 3 | 13 |
Negative Factor Pairs of 39:
| Factor 1 | Factor 2 |
|---|---|
| -1 | -39 |
| -3 | -13 |
Prime Factorization of 39
The prime factorization of 39 involves breaking it down into the product of prime numbers. Using division, we find that the prime factors of 39 are 3, 13. Therefore, the prime factorization of 39 is 3 × 13. Understanding prime factorization helps in finding GCF, LCM, and simplifying fractions.
Prime factors of 39:
3, 13
Prime factorization of 39:
3 × 13
Compact form:
3 × 13
Find prime factorization of any number with our Prime Factorization Calculator tool.
How to Find the Factors of 39?
To find the factors of 39 using the division method efficiently, you only need to check numbers up to the square root of 39. For every number that divides 39 evenly, both it and its corresponding pair (39 ÷ that number) are factors.
Optimized steps to find factors of 39:
- •39 ÷ 1 = 39 → ✅ Factor Pair: (1, 39)
- •39 ÷ 3 = 13 → ✅ Factor Pair: (3, 13)
This method avoids unnecessary checks and gives all factor pairs quickly. It's especially useful for larger numbers.
Find factors and factors pair of any number with our Factor Checker tool.
Frequently Asked Questions about factors of 39
What are the factors of 39?
The factors of 39 are 1, 3, 13, 39.
What is the prime factorization of 39?
The prime factorization of 39 is 3 × 13.
How do I find the factors of 39?
To find the factors of 39, start by dividing 39 by every number from 1 up to the square root of 39.
What are factor pairs of 39?
The factor pairs of 39 are (1, 39), (-1, -39), (3, 13), (-3, -13).
How can I use the factors of 39?
The factors of 39 can be used to simplify fractions, find the greatest common divisor (GCD), and determine multiples.
Are the factors of 39 always positive?
Factors can be both positive and negative. For example, the negative factors of 39 are -1, -3, -13, -39.