Prime Factorization Of 114

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Prime Factorization Of 114

Prime factorization of 114 is a mathematical process of breaking down a number into its prime factors. Prime factors are numbers that are only divisible by themselves and one. Prime factorization of 114 is 2 x 57. This process is used to help solve many math problems, such as finding the greatest common factor (GCF) of two or more numbers. Prime factorization can also help simplify fractions by finding the lowest common denominator. Prime factorization of 114 can also be written as the product of prime numbers: 2 x 3 x 19 Prime factorization of 114 is an important concept in mathematics and is used in a variety of ways, such as solving equations, simplifying fractions, and finding the GCF of two or more numbers. By understanding the process of prime factorization of 114, students can apply this knowledge to a variety of problem-solving tasks.

Questions and Answers:

Table of Content:

1. prime factorization of 120


Answer:
Factorization of 120 = 2×2×2×3×5
maaf kalau salah:#

2. Prime factorization of 270 is... ​


السلام عليكم

Jawaban:

3

270÷2=135÷3=45÷5=3÷3=3

Penjelasan:

you are British


3. the prime factorization of 90 is​


The prime factorization is a number which is included in prime number. Prime number is the number which is can divided by 1 and the number only.

_______________________________________________

90 = 1 , 2 , 3 , 5 , 6 , 9 , 10 , 15 , 18 , 30 , 45 , 90.

The prime factorization : 2,3,5.

Hopefully can helpful :) -wtnbhruto.

Jawaban:

1,2,35,6,9,10,15,18,30,45,dan 90

Penjelasan dengan langkah-langkah:

sorry if I'M wrong .


4. prime factor of 45?...


Faktor Prima dari 45 = 3 × 3 × 53,3,5
45
/ \
3 15
/ \
3 5

5. Write the prime factorization of 30. Use exponents when appropriate and order the factors from least to greatest​


the prime factorization of 30 is 30=2×3×5

no exponent is need, though if you want to write it, you can write it as 2¹×3¹×5¹. It is also listed from least to greatest


6. ¶¶¶ QUIZ #187 ¶¶¶• english version• big point==========1. factorized 187.218 into the prime factorization!2. what is GCF of 187, 231 and 440 ?​


1. 187.218

187.218

= 2 x 93.609

= 3 x 31.203

= 3 x 10.401

= 3 x 3467

Prime Factorized of 187.218 Is = 2 x 3 x 3 x 3 x 3467.

3467 is a Prime Number.

2. GCF Is Greatest Common Factorization

GCF = FPB (Faktor Persekutuan Terbesar)

187 = 11 x 17

231 = 3 x 7 x 11

440 = 2 x 2 x 2 x 5 x 11

GCF or FPB From 187, 231, and 440 Is :

11 (Eleven).


7. he sum of two prime numbers is 85. What is the product of these two prime numbers


Dia jumlah dari dua bilangan prima adalah 85. Apa adalah produk dari dua bilangan prima ini.the prime numbers are 83 and 2

8. 3. Factorization of 6b2 +19b-20 is ...​


6b² +19b-20

(6b-5) (b+4)

so, the factorization of 6b² +19b-20 is (6b-5) (b+4)

have a great day :)


9. Prime factors of 12​


Jawaban:

the prime factors of 12 is 2 and 3


10. Find the prime factorization of each of the following numbers, leaving your answer in index notation. ✨ (a) 72 (b) 252 (c) 375 (d) 550


a) 72 = 2 x 2 x 2 x 3 x 3

72 = 2³ x 3²

b) 252 = 2² x 3² x 7

c) 375 = 3 x 5³

d) 550 = 2 x 5² x 11

_____

semangat belajar....


11. Determine the prime factorization of the following numbers!Tentukan faktorisasi dari bilangan-bilangan berikut!1. 252. 363. 484. 495. 96​


1. 25 : 5

5 : 5

jadi 5²

2.

36÷2=18÷2=9÷3=3

Jadi, faktorisasi prima dari 36 adalah 2²x3²

3. = 1 x 48

= 2 x 24

= 3 x 16

= 4 x 12

= 6 x 8

= 8 x 6

jadi faktor primanya 2 dan 3

4. 1x49

7x7

faktornya=1,4,7,49

jadi faktor prima 49 adalah 1 dan 7

5. 96=2×2×2×2×2×3

Penjelasandenganlangkah-langkah:

Maaf KalauAdaYang Salah


12. ##Quiz #133 ##• english version• 50 points• quite easy==========Q#1determine the prime factorization of 2,025,000 !Q#2Given the diagonals of the rhombus 33cm and 44cm respectively. find the perimeter of the rhimbus! ​


Jawab:

2³ × 3⁴ × 5⁵110 cm

============

Penjelasan dengan langkah-langkah:

Q#1

Determine the prime factorisation of 2025000

2025000 : 2 = 1012500 : 2 = 506250 : 2 = 253125 : 3 = 84375 : 3 = 28125 : 3 = 9375 : 3 = 3125 : 5 = 625 : 25 = 25

2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 25 × 25 =

2³ × 3⁴ × 5⁵

============

Q#2

Given that a rhombus has

dᵃ = 33 cm

dᵇ = 44 cm

Find its perimeter

.

a = dᵃ/2 = 33/2 = 16.5

b = dᵇ/2 = 44/2 = 22

c = √(a²+b²) = √(16.5²+22²) = √(272.25+484) = √756.25 = 27.5

Perimeter = 4c = 4×27.5 =

110 cm

嘉誠

Jawaban:

1stQuestion

prime factorization of 2.025.000

2.025.000 = 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5

2.025.000 = 2³ × 3⁴ × 5⁵

2ndQuestion

d1 = 33 cm

d2 = 44 cm

first, find the side of rhombus

33/2 = 16,5 cm

44/2 = 22 cm

s = √(16,5² + 22²)

s = √(272,25 + 484)

s = √(756,25)

s = 27,5 cm

next, find the perimeter of the rhombus

= 4 × s

= 4 × 27,5

= 110 cm


13. 1. Given that the factorization of 42 875 is 26 x 73, the value ofV21952 is​


Jawaban:

Please folowwwwwwwwwww


14. If the prime factorization of a=2⁶×3⁶×7³, then


Jawab:

16.003.008

Penjelasan dengan langkah langkah

Panjangg


15. Tuliskan faktorisasi prima (prime factorization) dari 240!


240 = 2 × 2 × 2 × 2 × 3 × 5
240 = 2^4 × 3 × 5240 = 2^4 × 3 × 5
jadi faktorisasi primanya 2 pangkat 4 × 3 ×5

16. Apa itu arti dari ' Prime Factorization ', tolong dijelaskan secara rinci. Aku kasih banyak poin nih! Jawab yang bener dan cepet yah. Terimakasih


Jawaab:

Faktorisasi prima merupakan penguraian bilangan menjadi perkalian faktor-faktor prima. Untuk melakukan faktorisasi prima ini diperlukan pohon faktor

contoh:

80=

2 x 2 x 2 x 2 x 5 = 24 x 5

Jadi faktor prima dari 80 adalah 24 x 5

maaf klo salah

semoga membantu anda


17. 2. find the greatest common factor (gcf) of the following numbers using the listing method or prime factorization. (show your solution) a. 108 and 24 b. 28, 63 and 91 ​


Jawab:

a. 12

b. 7

Penjelasan dengan langkah-langkah:

a.

[tex]108=2^2\times3^3\\24=2^3\times3\\gcf=2^2\times 3=12[/tex]  (lihat faktor prima yang ada di keduanya, kemudian pilih yang pangkatnya paling kecil)

b.

[tex]28=2^2\times7\\63=3^2\times 7\\91= 7\times 13\\gcf=7[/tex](lihat faktor prima yang ada di ketiganya, kemudian pilih yang pangkatnya paling kecil)


18. Find the HCF and LCM of 63 and 77 using prime factorization


Jawab:

Find the prime factorization of 63

63 = 3 × 3 × 7

Find the prime factorization of 77

77 = 7 × 11

HCF = 7

Find the prime factorization of 63. 63 = 3 × 3 × 7.

Find the prime factorization of 77. 77 = 7 × 11.

LCM = 3 × 3 × 7 × 11.

LCM = 693.


19. the factorization of 6x²-2x-20 is


6x^2 -2x -20
x^2 -2x -120 (6nya di kali ke paling belakang)

di faktor kan menjadi
( x-12) (x+10)

X= 12/6 = 2 (karena awalnya di kali jadi untuk mencari xnya di bagi 6 lagi)
X= -10/6 = -5/3

Hp = {-5/3, 2}

20. The prime factorization of 72 is ..​


Faktor prima dari 72 = 2 dan 3.

factor tree 72

[tex]\begin{aligned}&~~~~~~~~~~~~~~~~~~~~~~~~~~~~72\\&~~~~~~~~~~~~~~~~~~~~~~~~~~~~\bigwedge\\&~~~~~~~~~~~~~~~~~~~~~~~~~~\boxed{2}~~36\\&~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\bigwedge\\&~~~~~~~~~~~~~~~~~~~~~~~~~~~~\boxed{2}~~~18\\&~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\bigwedge\\&~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\boxed{2}~~9\\&~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\bigwedge\\&~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\boxed{3}~~~\boxed{3}\end{aligned}[/tex]

the prime factorization of 72 is

=2³ × 3²




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