Multiples Of 47 - Lets See The Magic

 When multiplying 47 by an integer, the results are multiples of 47. 47, 94, 141, 188, and 235 are the first 5 multiples of 47. The average of the first five multiples of 47 is 141, while the sum of the first five multiples of 47 is 705 in total.

Numerals that are multiples of 47 include: 47, 94, 141, 188, 235, 282, 329, 376, 423, and so on.


47 and 282 have a 282 least common multiple (LCM).


First five multiples of 47, on average: 141


The first two multiples of 47 and 33 are 1551 and 3102.


Total of the first five multiples of 47: 705



What Numbers Have the Value 47?


47 has the following multiples: 47 1 = 47, 47 2 = 94, 47 3 = 141, 47 4 = 188, 47 5 = 235,.................................


Solved Example Of Multiples Of 47


Example 1:

Which of the following numbers is a multiple of 47, like in Example 1? 233, 282, 329, 376, 602, and 751.


Solution:


The remainders are 45, 0, 0, 0, 38, and 46 when 233, 282, 329, 376, 602, and 751 are divided by 47. The multiples of 47 are thus 282, 329, and 376.


Example 2:

Find the first 10 multiples of 47's total and average, for example.


Solution:


These are the first 10 multiples of 47: 47, 94, 141, 188, 235, 282, 329, 376, 423 and 470. Therefore,


Total of the first ten multiples is 2585: 47 + 94 + 141 + 188 + 235 + 282 + 329 + 376 + 423 + 470


First ten multiples' average: Sum of the first 10 multiples is (2585)/10, which equals 258.5.




Example 3:

Determine whether 663 is a multiple of 47 in Example 3.


Solution:


47 times 663 equals 5, which is a non-zero remainder. As a result, 47 is not a multiple of 663.

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