1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Oksana_A [137]
2 years ago
11

Problema 6 Descompongan los siguientes números en factores primos. ¿Es posible encontrar, para cada número, más de una descompos

ición en factores primos? a. 42 b. 31 c. 36 d. 45
Mathematics
1 answer:
Bogdan [553]2 years ago
8 0

Answer:

a: 42 =  2*3*7

b: 31 = 31*1

c: 36 = 2*2*3*3

d: 45 = 3*3*5

Cada descomposición es unica.

Step-by-step explanation:

Sabemos que todo número entero puede ser reescrito como un producto de números primos.

Esta descomposición es única, dado que una vez tenemos un número escrito como producto de primos, esos números primos no pueden descomponerse en otra cosa, por lo que se concluye que una descomposición en primos es única.

a: 42

Para obtener la descomposición, podemos comenzar dividiendo por primos, comenzando por los más bajos.

En este caso, podemos comenzar por 2:

42/2 = 21

asi, podemos reescribir:

42 = 2*21

Ahora ya tenemos un factor que es primo, el 2, y un factor que no lo es, el 21.

Asi que debemos reescribir el 21 como producto de primos.

Y sabemos que 3*7 = 21, donde ambos 3 y 7 son primos, entonces:

42 = 2*21 = 2*3*7

42 = 2*3*7

así hemos reescrito 42 como un producto entre números primos.

b. 31

31 es un número primo, por lo que su descomposición es:

31 = 31*1

c. 36

Comenzamos dividiendo por 2.

36/2 = 18

36 = 2*18

Volvemos a dividir por 2 el 18.

18/2 = 9

18 = 2*9

reemplazando eso en nuestra descomposición obtenemos:

36 = 2*18 = 2*2*9

9 es impar así que no podemos dividir por 2, pasamos al próximo número primo, el 3.

9/3 = 3

9 = 3*3

Reemplazando eso, obtenemos:

36 = 2*2*3*3

d. 45

no podemos dividir por 2, puesto que es un número impar, así que pasamos al próximo primo, el 3.

45/3 = 15

45 = 3*15

Ahora descompongamos el 15.

15/3 = 5

15 = 3*5  (notar que 3 y 5 son primos)

Reemplazando eso, obtenemos:

45 = 3*15 = 3*3*5

45 = 3*3*5

You might be interested in
Help plz I really need help thx
blondinia [14]
D. 133*1.285=171 pennies in the jar
7 0
2 years ago
Read 2 more answers
735 mil. Trip in 15 hours what was their average rate
nikdorinn [45]

Answer:

`49 MPH

Step-by-step explanation:

If it took them 15 hours to go 735 miles, and you are trying to find the average rate, then divide the miles by the time (in hours), so for this specific problem, it would be 735 divided by 15 hours, and you will find the answer as 49. (MPH)

5 0
2 years ago
In international morse code, each letter in the alphabet is symbolized by a series of dots and dashes: the letter a, for example
Ostrovityanka [42]
Morse code is essentially the same as binary. That is, there are two "digits", a dot or a dash.

There are 26 letters in the English alphabet. Clearly, we can't just use one dot or dash, since that could only encode 2 letters at the most. We can't use two symbols because that could only encode 4 letters at the most. Similarly, 3 symbols means 2^3=8 letters at most.

We have to select the smallest power of 2 that exceeds or is equal to 26. In this case, 2^5=32>26, so we would have to use up to 5 symbols to encode each letter in the alphabet.
5 0
3 years ago
On a map, 2.5 inches represents 52 miles. What is the actual distance represented by 5 inches on the map?
nikklg [1K]

Answer:

104 miles

Step-by-step explanation:

52/2.5 = 20.8

20.8 miles = 1 inch

20.8 x 5

104 miles = 5 inches

7 0
3 years ago
Read 2 more answers
If Kye can rollerblade 1.5 miles in 8 minutes how many miles does he rollerblade in 1 minute
mixer [17]

Answer:

0.1875 miles

Step-by-step explanation:

3 0
2 years ago
Other questions:
  • 40 POINTS IF YOU GIVE ME THE FULL RIGHT ANSWERS
    6·2 answers
  • 1.If x2 = 60, what is the value of x?
    12·1 answer
  • A small rural town has experienced a population decrease at a rate of 25 people every 5 years since 1970. If the population of t
    13·1 answer
  • In 153.72, which digit is in the hundredths place?
    5·1 answer
  • Lily invested $90,000 in an account paying an interest rate of 4.6% compounded
    8·1 answer
  • Benjamin drives 60 miles every hour. He drives 180 miles to his uncles house.
    8·1 answer
  • If x:14= 1:7, find x. P​
    7·2 answers
  • You decide you need a new computer. The cost of the computer is $840. However, the store also offers a rent to own option with w
    10·1 answer
  • 1. Trey just planted a small tree. He wanted to help it grow straight so he anchored the tree to the ground in three places usin
    15·1 answer
  • HELPPP THIS IS TIMED what is the answer
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!