Question

List of armstrong numbers between 1 to 500

Answer 1

Hey, sup!

An Armstrong number of is an integer such that the sum of the cubes of its digits is equal to the number itself.
The Armstrong numbers between 1 to 500 are : 153, 370, 371, and 407.

Hope it helps.

Answer 2

Given:

Numbers from 1 to 500

To Find:

List of all Armstrong numbers

Solution:

An Armstrong number is a number that is equal to the sum of the cubes of its individual digits. We can express the Armstrong number in the following equation, let there be a number 'ABC' then

$ABC=A^3+B^3+C^3$

there are a total of four Armstrong numbers from 1 to 500, which are 153,370,371 and 407. Let us see the proof of these numbers by using the formula mentioned above for each one them,

For 153 we have,

$153=1^3+5^3+3^3\\153=1+125+27\\153=153$

So it is an Armstrong number.

For 370 we have,

$370=3^3+7^3+0^3\\370=27+343+0\\370=370$

So it is an Armstrong number.

For 371 we have,

$371=3^3+7^3+1^3\\371=27+343+1\\371=371$

So it is an Armstrong number.

For 407 we have,

$407=4^3+0^3+7^3\\407=64+0+343\\407=407$

So it is an Armstrong number.

Hence, the numbers from 1 to 500 which are Armstrong numbers are 153,370,371 and 407.