Factors of 217

Foundation

Intermediate

Advance Topics

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)

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.