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# Understand Factors and Factor Pairs within 100

- Grade 4 MathFourth graders take tiny steps toward algebra with this fun factors and multiples interactive worksheet. Before they learn about other types of numbers - prime and composite, they understand what are factors and how to find factor pairs of a number.

**What’s inside?**

- Evaluate whether a given number is a factor of another given number.

- Find the number, given a set of factors.

- Compute factor pairs of a given number.

- Complete the set of factors for a given number.

**Real-World Application**

Factorization has myriad everyday applications. When travelling a distance of 300 miles, you may want to know how many hours it would take to cover the distance at a particular speed. Two factors of 300 that may help you with this calculation are 150 and 2. Clearly, 150 hours at 2 mph is ridiculously slow and 2 hours at 150 mph is too fast to be feasible. Let’s look at two other factors of the number: 60 and 5. Travelling at a speed of 60 mph for 5 hours sounds much more realistic.

**What’s next?**

With children now familiar with factors, they can proceed to learn about prime and composite numbers.

#### Cool Fact

Every number when broken down into its smallest factors, a process called factoring or factorization, gives rise to a unique set of factors. Because finding all the factors of a huge number is very hard, this property is widely used in cryptography - writing and understanding secret codes.

### Common Core Alignment

**4.OA.4**Find all factor pairs for a whole number in the range 1—100. Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in the range 1—100 is a multiple of a given one-digit number. Determine whether a given whole number in the range 1—100 is prime or composite.