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Sholpan [36]
3 years ago
13

Use the method of dividing by prime factors to find the greatest common factor of 140 and 350.

Mathematics
1 answer:
Natali5045456 [20]3 years ago
7 0

140 = 2*2*5*7

350 = 2*5*5*7


now, let's notice, the 2, 5 and 7 are <u>repeated on both</u>, so we'll use them once, and then we add the <u>non-repeated</u> part to it to get the GCF.

(2*5*7)*2*5  <----- that's the GCF ------> 700.

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Find three consecutive positive integers such that the sum of their squares is 2354. What is the largest integer?
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Answer:

The largest integer is 29.

Step-by-step explanation:

Let the consecutive positive integers are x, x+1 and x+2.

The square of sum of squares of three consecutive positive integers is 2354 such that,

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x = 27 and x = -29

First positive integer = 27

Second positive integer = 27+1 = 28

Third positive integer = 27+2 = 29

Hence, the largest integer is 29.

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