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Last updated on May 26th, 2025

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Factors of 217

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Factors are the numbers that divide another number equally, without leaving any remainder. When you multiply two numbers to find another number, the two which are multiplied are factors. You can think of factors as the building blocks that will help you make numbers.

Factors of 217 for Indonesian Students
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What are the factors of 217?

Factors are the numbers that help us divide things equally without any leftovers.1,2,79 and 217 are the factors of 217. The number has both positive and negative integers that divide 217 without leaving any remainder. 
 

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How to find the factors of 217?

Factors help us divide numbers equally, making calculations faster and easier. Given below are the methods used to find factors: 
 

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Finding Factors Using Multiplication

In this method, we take two numbers and find the product of those two numbers to get the required number.


Example: 


2×79=217


1×217=217 


This shows that 1, 2,79, and 217 are the factors of 217.
 

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Finding Factors by Division Method

We divide 217 by numbers starting from 1 and see which number gives the remainder of 0.


217 ÷1=217


217 ÷ 2=79


217 ÷ 79=2


217 ÷ 217=1


So the factors are 1,2,79 and 217.

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Prime Factors and Prime Factorization

The breaking down of numbers as prime factors is called prime factorization. The factors of 217 are:


217=7x31
 

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Factor tree

A factor tree shows how a number can be parted down into prime factors.217 is broken down into two factors, 2 and 79.
 

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Factor Pairs

The factors of a number will have both the positive and negative numbers:


Positive :(1,2,79,217)


Negative:(-1,-2,-79,-217)
 

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Common Mistakes and How to Avoid Them in Factors of 217

While learning about Factors 217, students may likely make mistakes, to avoid them a few mistakes with solutions are given below:
 

Mistake 1

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Improper calculation in division
 

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Children may get confused while performing divisions in the carry forward of numbers, which may lead to improper results. To avoid this, students should practice division to be better at the calculations.
 

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factors of 217 Examples

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Problem 1

Is 217 divisible by 3?

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Divisibility Rule for 3: Sum of digits = 2+1+7=102 + 1 + 7 = 102+1+7=10 (not divisible by 3)


No, we cannot divide 217 by 3.
 

Explanation

 If the sum of the digits is not divisible by 3, the number is also not.
 

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Problem 2

Identify the GCF of 217 and 62.

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Factors of 217: 1,7,31,217


Factors of 62: 1,2,31,62


GCF = 31 (the largest common factor).
 

Explanation

31 is the GCF of 217 and 62.
 

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Problem 3

Find the GCF of 217 and 316.

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Factors of 217: 1,2,79,217


Factors of 316: 1,2,4,79,217,316


GCF = 217
 

Explanation

The largest factor common to both numbers is 217

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FAQs on Factors of 217

1.What are the factors of 216 and 217?

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2.What are the factor pairs of 217?

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3.Is 217 a perfect square?

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4.What is 217 square root?

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5.What are the multiples of 217?

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6.How can children in Indonesia use numbers in everyday life to understand Factors of 217?

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7.What are some fun ways kids in Indonesia can practice Factors of 217 with numbers?

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8.What role do numbers and Factors of 217 play in helping children in Indonesia develop problem-solving skills?

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9.How can families in Indonesia create number-rich environments to improve Factors of 217 skills?

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Professor Greenline from BrightChamps

Important Glossaries for Factors of 217

  • Prime Factorization: It is a method of splitting down a number into its factors. For example:217=7x31

 

  • Divisibility: A number is said to be divisible by a certain number, when we divide a number it should give a whole number and not a decimal.

 

  • Even number: A number that when divided by 2 gives a whole number.
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About BrightChamps in Indonesia

At BrightChamps, numbers are more than just digits—they’re gateways to many opportunities! We strive to help children across Indonesia master vital math skills, focusing today on Factors of 217 with special attention to factors—in a fun, clear, and engaging way. Whether your child is calculating the speed of a ride at Dunia Fantasi, tracking scores at badminton matches, or managing their allowance for gadgets, solid number skills give them confidence in daily life. Our hands-on lessons make learning both fun and straightforward. Since kids in Indonesia learn in varied ways, we adapt our teaching to each child’s needs. From Jakarta’s busy streets to Bali’s beautiful beaches, BrightChamps brings math to life throughout Indonesia. Let’s make factors an enjoyable part of every child’s math adventure!
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