which of the following numbers is divisible by the first ten natural numbers?
a)5,820
b)4,730
c)3,060
d)2,520
Answers
Answered by
9
Answer:
2520
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The integer number 2520 is divisible by the first ten natural numbers.
Given:
The first 10 natural numbers.
To find:
A number divisible by the first 10 natural numbers.
Solution:
We know that all positive numbers excluding zero is considered a natural number.
The first 10 natural numbers are:
1,2,3,4,5,6,7,8,9,10
To calculate the number we will use the prime factorization method and the LCM to calculate the integer.
1=1
2=2
3=3
4=2²
5=5
6=2 ×3
7=7
8=2³
9=3²
10=2×5
Hence LCM is given by : 2³ × 3² × 5 × 7 =2520
Therefore the fourth option 2520 is divisible by the first 10 natural numbers.
To learn more about natural numbers visit:
https://brainly.in/question/316788
https://brainly.in/question/2195960
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