Number guides

Plain-language explanations, reliable formulas, and worked examples that help you understand the answer—not merely copy it.

Number tools

How to Run a Fair Random Selection

Plan a fair informal random selection by defining eligibility, entries, draw rules, redraws, privacy safeguards, and records before choosing a result.

6 min read · Practical examples
Number tools

How to Pick Random Numbers From a Custom List

Use a custom numeric list to pick one or more unique values, including nonconsecutive numbers, decimals, zero, and negatives.

6 min read · Practical examples
Online security

How to Create a Strong Random Password

Learn how password length, randomness, unique credentials, and secure storage work together to protect online accounts.

8 min read · Practical examples
Fractions

How to Calculate Fractions

Learn exact fraction arithmetic, simplification, mixed numbers, and practical ways to check each result.

6 min read · Practical examples
Ratios

How to Simplify Ratios and Solve Proportions

Understand ratio order, equivalent ratios, scaling, units, and exact missing-term calculations.

6 min read · Practical examples
Factors and multiples

How to Find the Greatest Common Factor

Learn factor lists, the Euclidean algorithm, prime factorization, and practical ways to verify a GCF.

6 min read · Practical examples
Factors and multiples

How to Find the Least Common Multiple

Learn multiple lists, prime factorization, the GCF relationship, and exact multi-number LCM methods.

6 min read · Practical examples
Decimals

How to Add, Subtract, Multiply, and Divide Decimals

Learn decimal place value and reliable methods for addition, subtraction, multiplication, and division, including exact fractions and repeating results.

6 min read · Practical examples
Ratios

How to Solve a Proportion Using Cross-Multiplication

Solve any missing term in a proportion with exact cross-products while respecting denominator, sign, unit, and model requirements.

6 min read · Practical examples
Number theory

How to Check Whether a Number Is Prime

Test integer candidates with definitions, divisibility checks, the square-root bound, and the Prime Number Checker's deterministic 64-bit method.

6 min read · Practical examples