174 LearnersLast updated on May 26th, 2025
Factors of 217
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.
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.
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:
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.
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.
Prime Factors and Prime Factorization
The breaking down of numbers as prime factors is called prime factorization. The factors of 217 are:
217=7x31
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.
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)
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
Improper calculation in division
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.
factors of 217 Examples
Problem 1
Is 217 divisible by 3?
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.
Problem 2
Identify the GCF of 217 and 62.
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.
Problem 3
Find the GCF of 217 and 316.
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
FAQs on Factors of 217
1.What are the factors of 216 and 217?
2.What are the factor pairs of 217?
3.Is 217 a perfect square?
4.What is 217 square root?
5.What are the multiples of 217?
6.How can children in Indonesia use numbers in everyday life to understand Factors of 217?
7.What are some fun ways kids in Indonesia can practice Factors of 217 with numbers?
8.What role do numbers and Factors of 217 play in helping children in Indonesia develop problem-solving skills?
9.How can families in Indonesia create number-rich environments to improve Factors of 217 skills?
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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