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
Snowcat [4.5K]
3 years ago
14

Use the unique factorization theorem to write the integer in standard factored form. 1.5400

Mathematics
1 answer:
mash [69]3 years ago
6 0

Answer:

Standard factor form of the integer : 15400 = 2³ × 5² × 7 × 11

Step-by-step explanation:

According to the unique factorization theorem, a given integer n (where, n>1), either is a prime number or can be represented as the product of the prime numbers.

Firstly, it is checked that the given integer is divisible by the smallest prime number 2 . If the integer is not divisible by 2, then the integer is checked for the next prime number 3 and then checked for 5 and so on until the remaining integers are prime numbers.

So, the standard factored form of the integer:

15400 = 2 × 770

15400 = 2 × 2 × 3850

15400 = 2 × 2 × 2 × 1925

15400 = 2 × 2 × 2 × 5 × 385

15400 = 2 × 2 × 2 × 5 × 5 × 77

15400 = 2 × 2 × 2 × 5 × 5 × 7 × 11

or,

15400 = 2³ × 5² × 7 × 11

Therefore, the standard factor form of the integer: 15400 = 2³ × 5² × 7 ×11

You might be interested in
Nine more than the product of 22 and Gordons height​
OverLord2011 [107]

Answer:

9 + 22h

Explanation:

The question is incomplete as Gordon's height is not given. To solve further, we will represent this height with h

So, we have:

nine more than the product of 22 and Gordons\ height

More than, in this case means plus (+)

nine + the product of 22 and Gordons\ height

Rewrite nine as 9 and substitute h for Gordons height

9 + the product of 22 and h

product, in this case means multiplication (*)

9 + 22 * h

So, the expression is:

9 + 22h

7 0
2 years ago
I don’t know how to find the odds for this??
grin007 [14]

Answer: C.1:5

Step-by-step explanation: I cant remember but I think that's what it is

6 0
3 years ago
If x is taken away from the sum of 5x and 10 we get 90. Find x
Elden [556K]

Answer:

20

Step-by-step explanation:

5x+10 - x = 90\\

4x + 10 = 90

4x = 80

x = 20

\therefore the value of x is 20.

Hope this helps :)

6 0
2 years ago
Hurry I need help rn!!
wel

Answer:

1. Concert or Zoo

2. 32 people

3. 40%

Step-by-step explanation:

1. Concert or Zoo because they have the most votes

2. 200/25=8     8*4=32

3. 8 times 10 = 80     80/200=0.4    0.4= 40%

5 0
2 years ago
A savings account pays 1/2% simple interest per year. Anna opens an account and deposits $600. After that, she does not withdraw
amid [387]

Answer:

  $603

Step-by-step explanation:

The amount of interest is given by ...

  I = Prt

where P is the principal ($600), r is the interest rate (0.005), and t is the time in years (1). Then the amount of interest after 1 year is ...

  I = $600·.005·1 = $3

That is added to the account balance, so the total is ...

  $600 + $3 = $603 . . . . end-of-year balance

4 0
2 years ago
Other questions:
  • Estimate the quotient what is 467.6 divided by 8
    9·1 answer
  • 2) Jimmy was going to sell all of his stamp
    9·1 answer
  • Math help pls thank u c:
    6·1 answer
  • 1/6 minus 1/10 simplifiy
    8·2 answers
  • Helpppppppppppooooo :p
    10·1 answer
  • Please help me w the answer
    15·1 answer
  • Can anyone help with this?
    10·1 answer
  • Refer to the graph What conclusion can you make about the relationship between the number of items sold i and the
    6·1 answer
  • What is the value of x ​
    10·2 answers
  • What is71 3/4 over 100 as a decimal<br><br><br> pls explain
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!