Lessons

What Are Factors? A factor of a number is any number that divides into it exactly—without leaving a remainder. Factors are always less than or equal to the original number. To find the factors of a number: Start with $1$ and the number itself. Test numbers sequentially starting from $2$. If the number divides evenly (no remainder), add both the divisor and the quotient to your factor list. Stop once you’ve passed the square root of the number. Step-by-Step: Factors of 15 Start with: $$ 1, \quad 15 $$ ...

A prime number is a number that has exactly two factors: $1$ and itself. This article will show you how to determine if a number is prime using a step-by-step method. What Is A Prime Number? A prime number is a natural number greater than $1$ that has no positive divisors other than $1$ and itself. For example: $5$ is a prime number because its only factors are $1$ and $5$ $6$ is not a prime number because it has more than two factors: $1, 2, 3, 6$ How To Tell If 53 Is Prime We’ll use the step-by-step factor method to check if $53$ is prime. ...

Factors are the numbers that divide exactly into another number without leaving a remainder. A factor can never be greater than the original number. To find factors quickly: Start with $1$ and the number itself. Increment the divisor and check: Does it divide the number exactly? If yes, add both the divisor and the quotient. Stop when the divisor exceeds the square root of the number. Step-by-Step: Factors of 28 Start with: $$ 1, \quad 28 $$ ...

Understanding Division Division is the process of determining how many times one number fits into another. Every division problem consists of: Dividend – the number to be divided (here: 300) Divisor – the number you divide by (here: 4) Quotient – the result Remainder – what’s left over Short Division Method Short division is ideal when: The divisor is a small number (typically less than 10), and The dividend is large (typically 10× or more than the divisor) In this case: ...

A factor is a number that divides exactly into another number without leaving a remainder. To find factors of a number like $63$, follow this simple method: Begin with $1$ (since $1$ divides every integer). Check sequentially whether each number divides $63$ evenly. If it does, add both the divisor and its quotient to your list. Stop once you reach $\sqrt{63}$. Step-by-Step: Factors of 63 We start by noting: $$ \text{Initial factors: } 1, \ 63 $$ ...

A prime number is a whole number greater than $1$ that has exactly two distinct factors: $1$ and itself. To determine if a number is prime, try dividing it by all whole numbers up to $\sqrt{n}$. If none divide evenly, the number is prime. Step-by-Step: Is 5 a Prime Number? We test integers from $2$ up to $\lfloor \sqrt{5} \rfloor = 2$. Try 2: $$ 5 \div 2 = 2.5 \quad \text{(not a whole number)} $$ ...

What Is 80 Divided By 4? To solve $80 \div 4$, we’ll use the short division method — a fast and efficient strategy ideal for small divisors and larger dividends. Understanding the Terms Dividend: The number being divided ($80$) Divisor: The number you’re dividing by ($4$) Quotient: The result of the division Remainder: What’s left over, if anything Step-by-Step: $80 \div 4$ Step 1: Divide 4 into 8 $$ 8 \div 4 = 2 $$ ...

What Is 64 Divided By 3? To solve $64 \div 3$, we’ll use the short division method, a quick and efficient technique especially useful with small divisors. Understanding the Terms Dividend: The number being divided ($64$) Divisor: The number you’re dividing by ($3$) Quotient: The result of the division Remainder: What’s left over if the division isn’t exact Step-by-Step: $64 \div 3$ Step 1: Divide $3$ into $6$ $$ 6 \div 3 = 2 $$ ...

A factor is a number that divides into another number without leaving a remainder. To find the factors of a number like $64$: Start from $1$ and test incrementally. For each divisor that divides evenly, include both the divisor and its quotient. Stop once the divisor exceeds $\sqrt{64}$. Step-by-Step: Factors of 64 We begin with: $$ \text{Initial factors: } 1, \ 64 $$ Try 2: $$ 64 \div 2 = 32 \quad \Rightarrow \text{Add } 2 \text{ and } 32 $$ ...

A prime number is a number with exactly two positive factors: $1$ and itself. To check if a number like $31$ is prime, test whether it can be divided evenly (no remainder) by any whole number other than $1$ and $31$. If no such number exists, then $31$ is prime. What Is A Prime Number? A number $n$ is prime if: $$ \text{Factors of } n = {1, n} $$ ...