Factors of 137
The factors of 137 are whole numbers that divide it exactly without leaving a remainder. They appear in positive and negative pairs, like (1, 137) or (-1, -137), 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 137, including all positive factors, factor pairs, and the prime factorization of 137 with step-by-step explanations and examples.
What are the Factors of 137?
There are 2 factors of 137. The factors of 137 are 1 and 137. Factors can be negative. The negative factors are -1 and -137. All of these numbers divides 137 completely. 137 is a prime number because it has no other factors than 1 and 137.
Factors of 137: 1 and 137
Factor Pairs of 137
The factor pairs of 137 are the pairs of integers that multiply together to give 137. These include both positive and negative combinations. The positive factor pairs of 137 are (1, 137), and the negative factor pairs are (-1, -137). Knowing the factor pairs of 137 is useful for learning multiplication, division, and understanding concepts such as the greatest common factor and prime factorization.
Positive Factor Pairs of 137:
| Factor 1 | Factor 2 |
|---|---|
| 1 | 137 |
Negative Factor Pairs of 137:
| Factor 1 | Factor 2 |
|---|---|
| -1 | -137 |
Prime Factorization of 137
The prime factorization of 137 involves breaking it down into the product of prime numbers. Using division, we find that the prime factors of 137 are 137. Therefore, the prime factorization of 137 is 137. Understanding prime factorization helps in finding GCF, LCM, and simplifying fractions.
Prime factors of 137:
137
Prime factorization of 137:
137
Compact form:
137
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How to Find the Factors of 137?
To find the factors of 137 using the division method efficiently, you only need to check numbers up to the square root of 137. For every number that divides 137 evenly, both it and its corresponding pair (137 ÷ that number) are factors.
Optimized steps to find factors of 137:
- •137 ÷ 1 = 137 → ✅ Factor Pair: (1, 137)
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 137
What are the factors of 137?
The factors of 137 are 1, 137.
What is the prime factorization of 137?
The prime factorization of 137 is 137.
How do I find the factors of 137?
To find the factors of 137, start by dividing 137 by every number from 1 up to the square root of 137.
What are factor pairs of 137?
The factor pairs of 137 are (1, 137), (-1, -137).
How can I use the factors of 137?
The factors of 137 can be used to simplify fractions, find the greatest common divisor (GCD), and determine multiples.
Are the factors of 137 always positive?
Factors can be both positive and negative. For example, the negative factors of 137 are -1, -137.