In this Grade 7 Saxon Math Course 2 lesson, students learn to identify factors and factor pairs, find the greatest common factor (GCF) of two numbers, and apply divisibility rules for 2, 3, 4, 5, 6, 8, 9, and 10. The lesson covers how to determine whether one whole number is divisible by another without dividing, using digit-based tests such as checking the sum of digits or the last one to three digits. These foundational number theory skills prepare students for simplifying fractions and working with multiples in later chapters.
Section 1
📘 Factors, Divisibility
Factors are numbers multiplied to form a product. Formally, the factors of a number are the whole numbers that divide the number without a remainder.
This is just the foundation. Next, you'll tackle worked examples on listing factors, finding the greatest common factor (GCF), and applying divisibility tests.
Section 2
Factors
The factors of a number are the whole numbers that divide the number without a remainder.
Think of factors as a number's secret building blocks! They are the whole numbers you can multiply together to create that number. This also means they can divide the number perfectly, leaving no messy leftovers or remainders. Finding them is like a treasure hunt for all the multiplication pairs that build your number!
Section 3
Divisibility
The capability of a whole number to be divided by another whole number with no remainder is called divisibility.
Divisibility is a math superpower that lets you see if numbers divide evenly without doing the long work! Instead of dividing, you use clever tricks, like checking a number's last digit or the sum of its digits. It’s the ultimate shortcut for spotting factors in big, scary-looking numbers and simplifying them quickly.
Section 4
Greatest Common Factor (GCF)
The greatest common factor (GCF) of two numbers is the largest common factor of both numbers.
Imagine two numbers each have a team of factors. The GCF is the most valuable player that's on both teams! To find this VIP (Very Important Part), you list all the factors for each number, find all the ones they share, and then pick the biggest one from that shared list.
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Section 1
📘 Factors, Divisibility
Factors are numbers multiplied to form a product. Formally, the factors of a number are the whole numbers that divide the number without a remainder.
This is just the foundation. Next, you'll tackle worked examples on listing factors, finding the greatest common factor (GCF), and applying divisibility tests.
Section 2
Factors
The factors of a number are the whole numbers that divide the number without a remainder.
Think of factors as a number's secret building blocks! They are the whole numbers you can multiply together to create that number. This also means they can divide the number perfectly, leaving no messy leftovers or remainders. Finding them is like a treasure hunt for all the multiplication pairs that build your number!
Section 3
Divisibility
The capability of a whole number to be divided by another whole number with no remainder is called divisibility.
Divisibility is a math superpower that lets you see if numbers divide evenly without doing the long work! Instead of dividing, you use clever tricks, like checking a number's last digit or the sum of its digits. It’s the ultimate shortcut for spotting factors in big, scary-looking numbers and simplifying them quickly.
Section 4
Greatest Common Factor (GCF)
The greatest common factor (GCF) of two numbers is the largest common factor of both numbers.
Imagine two numbers each have a team of factors. The GCF is the most valuable player that's on both teams! To find this VIP (Very Important Part), you list all the factors for each number, find all the ones they share, and then pick the biggest one from that shared list.
Book overview
Jump across lessons in the current chapter without opening the full course modal.
Continue this chapter