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balandron [24]
3 years ago
14

How many triples of three positive integers have a product of 16?

Mathematics
1 answer:
gregori [183]3 years ago
7 0

There are 15 possible triples of three positive integers whose product is 16.

According to this question, we must find the quantity of all <em>possible</em> triples such that they have a product of 16. By factor decomposition, we have that 16 is equal to the following product of <em>prime</em> numbers:

16 = 2^{4}

There are the following triples considering order of factors:

(i) \{16, 1, 1\}, (ii) \{1, 16, 1\}, (iii) \{1, 1, 16\}, (iv) \{2, 8, 1\}, (v) \{8, 2, 1\}, (vi) \{8, 1, 2\}, (vii) \{2, 1, 8\}, (viii) \{1, 2, 8\}, (ix) \{1, 8, 2\}, (x) \{1,4,4\}, (xi) \{4, 1, 4\}, (xii) \{4,4,1\}, (xiii) \{2,2,4\}, (xiv) \{2, 4, 2\}, (xv) \{4,2,2\}

There are 15 possible triples of three positive integers whose product is 16.

We kindly invite to check this question on factor decomposition: brainly.com/question/2250220

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Helppppp
sasho [114]

Answer:

186.5 + 2x

Step-by-step explanation:

First, radify 25. Luckily it's a perfect square so it will be 5.

Second, divide within the parentheses. You're expression should look like this.

(93-5+x+42/8)2

Divide 42/8. The decimal form would be 5.25, while the fraction should be 5 1/4.

Third, solve within the parentheses from left to right. Right now you're expression should look like this:

(93-5+x+5.25)2

Add all like terms

93-5+5.25=93.25

Fourth, multiply. Right now the expression should look like this:

(93.25 + x) 2

186.5 + 2x

8 0
3 years ago
A box measures 4 inches by 2 inches by 6 inches .Find the volume of the box in cubic centimeters
loris [4]

Answer:

121.92 cm cubed

Step-by-step explanation:

all you have to do is multiply all 3 measurements to find the simple shapes volume, and then convert to centimeters using the simple 2.54 cm=1 in conversion rate

3 0
3 years ago
Read 2 more answers
Carlos earns $11.80 per hour working after school. He needs at least $410 to buy a refurbished cell phone. Write and solve an in
mart [117]
Like 3 hours I think to make it 410
6 0
3 years ago
Factor completely 56a2b3 − 35ab.
VMariaS [17]

I would start off by taking away 1a. That would make the problem be 56ab3-35b.I only took away 1 because each have at least 1a and is okay to do.


Next I would deal with the variable b. I would cross of 1 b. That's because both sides have at least 1b.  Now, it's shortened to be 56ab2-35.


Since you cannot take away anymore variables, you have to deal with 56 and 35. I start small with dividing each by 2. I am trying to see what the greatest number could be while making the numbers still be whole. That turns 56 into 28 when it's cut in half. The 35 now turns into 17.5.


I would assume your teacher would want the numbers to be whole. seeing as though when 35 is cut in half and makes a decimal number, I would leave them. What I mean by that is to leave the numbers as 56 and 35.


So, that means the answer is 56ab2-35.


I hope this helps!! (And makes sense)

5 0
3 years ago
Four randomly chosen Nevada students were asked how many times they drove to Arizona last year. Their replies were 4,5,6,7. The
den301095 [7]

The geometric mean of the numbers is 5.38

Given the values a, b, c and d

Geometric mean of the values will be expressed as:

GM = (abcd)^1/4

Given the values 4, 5, 6 and 7, the geometric mean will be expressed as:

GM = (4×5×6×7)^1/4

GM = (840)^1/4

GM = 5.38

Hence the geometric mean of the numbers is 5.38.

Learn more: brainly.com/question/23875011

8 0
3 years ago
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