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patriot [66]
3 years ago
7

99. What is the greatest prime factor of 5,355? A. 17 B. 51 C. 119 D. 131 E. 153

Mathematics
1 answer:
NemiM [27]3 years ago
8 0
Hello,

5355 is divisble by 3 since 5+3+5+5=18 is divisible by 3
5355=3*1785
1785 is divisble by 3 since 1+7+8+5=21 is divisible by 3
1785=3*595
595 is not divisible by 3 but by 5
595=5*119
119 is divisible by 7 since 1*2+1*3+9*1=14 is divisible by 7.
119=7*17

17 is prime
Answer A



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Step-by-step explanation:

This translates to:

Find the natural numbers of two digits that fulfill the condition that when triple and decreased in 5, is less than the double increased in 8?

suppose that A is our number of two digits, this means that:

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It makes sense to start with the smaller number of two digits, 10.

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this is true.

Now let's check the next one, 11.

11*3 - 5 < 2*11 + 8

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This is true again, now let's try with the next one, 12.

3*12 - 5 < 2*12 + 8

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3*13 - 5 < 2*13 + 8

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A faster way to prove it is, suppose that both sides of our inequality are equal, then find the value of A.

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