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
GenaCL600 [577]
3 years ago
9

Write the prime factorization of each number in exponential notation.

Mathematics
1 answer:
CaHeK987 [17]3 years ago
3 0

Answer:

  1. (3^3)(5^2)(7)
  2. (2^4)(3^2)(5)(7)(13)

Step-by-step explanation:

It is convenient to make use of divisibility rules as far as possible.

1. 4725 is obviously divisible by 25, so we have ...

  4725 = 5^2 × 189

The sum of digits of 189 is divisible by 9, so that number is as well

  4725 = 5^2 × 3^2 × 21

Your knowledge of multiplication tables tells you 21 = 3×7, so the prime factorization is ...

  4725 = 3^3 × 5^2 × 7

__

2. 65520 is apparently divisible by 20, so we have ...

  65520 = 2^2 × 5 × 3276

3276 has a sum of digits divisible by 9, so it is divisible by 9.

  65520 = 2^2 × 3^2 × 5 × 364

364 is apparently divisible by 4, so ...

  65520 = 2^4 × 3^2 × 5 × 91

91 is divisible by 7, so the final prime factorization is ...

  65520 = 2^4 × 3^2 × 5 × 7 × 13

______

Divisibility rules of use are

  • divisible by 2 if ones digit is even
  • divisible by 3 if sum of digits is divisible by 3
  • divisible by 5 is ones digit is 0 or 5
  • divisible by 7 if the number Nx is such that N-2x is divisible by 7 (N is the number with the ones digit (x) removed) Here, 91 ⇒ 9-2·1 = 7 is divisible by 7.
  • divisible by 9 if sum of digits is divisible by 9
You might be interested in
What object has a definite beginning and a definite ending?
Andrew [12]
A line segment has a definite ending and beginning
8 0
3 years ago
Peter paid $79.80 for renting a tricycle for 6 hours. What was the rate per hour for renting the tricycle? (Input only numeric v
ElenaW [278]

Answer:

13.3

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Which decimal is equivalent to -3 1/8?
ryzh [129]

Answer:

-3.125

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
5х2-7x-6=0 <br><br> factored form
Vinvika [58]

Answer:

(x - 2)(5x + 3) = 0

Step-by-step explanation:

5x² - 7x - 6 = 0

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 5 × - 6 = - 30 and sum = - 7

The factors are - 10 and + 3

Use these factors to split the x- term

5x² - 10x + 3x - 6 = 0 ( factor the first/second and third/fourth terms )

5x(x - 2) + 3(x - 2) = 0 ← factor out (x - 2) from each term

(x - 2)(5x - 3) = 0 ← in factored form

8 0
3 years ago
Does anybody know how to do this pleas help I'm stuck ​
Masteriza [31]

Answer:

24

Step-by-step explanation:

78-30=48

48/2=24

each one is 24kg

7 0
3 years ago
Read 2 more answers
Other questions:
  • Asap Algebra 2 hon explanation would be greatly appreciated.
    7·1 answer
  • Can someone please help me by answering number 54!!! Need it now PLEASE!!!
    9·1 answer
  • Please help fast! Use the model to solve for x.
    10·1 answer
  • 0.4 which one is bigger? 0.36
    7·2 answers
  • Given: sin θ = 0.8660 hypotenuse = 0.25 Find: θ = (please explain).
    15·2 answers
  • Evaluate the dot product of (3,-1) and (1,5).<br><br> Answer here
    6·1 answer
  • Solve for x:<br> 642-3<br> 10242-5
    10·1 answer
  • Can somebody please help me here is the question
    13·1 answer
  • Assuming this survey was a good representation of 8th graders nationwide, if you surveyed 10,000 8th graders throughout the coun
    5·2 answers
  • Find the value of x.<br> A 4<br> B 6<br> C 3 <br> D 2
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!