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
Zepler [3.9K]
2 years ago
9

Find the prime factorization of 30,031​

Mathematics
1 answer:
Tcecarenko [31]2 years ago
6 0

Answer:

30,031 is not a prime, is a composite number. Integer prime factorization, as a product of prime factors: 30,031 = 59 x 509.

Step-by-step explanation:

Let's learn by having an example, take number 220 and build its prime factorization.

0) We need the list of the first prime numbers, ordered from 2 up to, let's say, 100: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97. Prime numbers are the building blocks of the composite numbers' prime factorization process.

1) Start by dividing 220 by the first prime number in our list, 2 (start with the smallest prime number). We could have skipped the division by 2 if our number were an odd number, ie. 221.

220 ÷ 2 = 110; remainder = 0 => 220 is divisible by 2 (2 | 220) => 2 is a prime factor of 220. => 220 = 2 × 110.

2) Divide the result of the previous operation, 110, by 2, again:

110 ÷ 2 = 55; remainder = 0 => 110 is divisible by 2 (2 | 110) => 2 is once again a prime factor of 220 => 220 = 2 × 2 × 55.

3) Divide the result of the previous operation, 55, by 2, again:

55 ÷ 2 = 27 + 1; remainder = 1 => 55 is not divisible by 2.

4) Move on, divide 55 by the next prime number, 3 (notice that the sum of digits of 55 is 5 + 5 = 10 is not divisible by 3, so 55 is not divisible by 3):

55 ÷ 3 = 18 + 1; remainder = 1 => as we already said, 55 is not divisible by 3.

5) Divide 55 by the next prime number, 5:

55 ÷ 5 = 11; remainder = 0 => 55 is divisible by 5 (5 | 55) => 5 is yet another prime factor of 220 => 220 = 2 × 2 × 5 × 11.

6) Notice that the remaining number, 11, is also a prime number, so we've got already all the prime factors of 220.

7) Conclusion, 220 prime factorization: 220 = 2 × 2 × 5 × 11.

This can be written in a condensed form, in the exponent notation: 220 = 22 × 5 × 11.

You might be interested in
The table represents an exponential function.
kkurt [141]

Answer:

b=2/3

Step-by-step explanation:

The table is given as:

\left|\begin{array}{c|c}x&y\\--&--\\1&9\\2&6\\3&4\\4&\dfrac83\\\\5&\dfrac{16}{9}\end{array}\right|

The exponential function is given in the form

y= a (b)^{x}

where a is the initial value and b is the multiplicative rate of change

When  x=1, y=9, we have:

9= a (b)^{1}

When  x=3, y=4, we have:

4= a (b)^{3}

Dividing the two equations:

\dfrac{a (b)^{3}}{a (b)^{1}} =\dfrac{4}{9} \\b^2=\dfrac{4}{9}\\b=\sqrt{\dfrac{4}{9}} \\b=\dfrac{2}{3}

The multiplicative rate of change, b is 2/3.

5 0
3 years ago
In the box, type the number that will correctly complete the sentence.
Tpy6a [65]

Answer:

1

Step-by-step explanation:

One.  For example, if we chose 5 as the number, then the multiplicative inverse would be 1/5.  Multiplying 5 by 1/5 results in one (1).

7 0
3 years ago
Need help thank you mark brainliest
aliina [53]

Answer: it says independent work

Step-by-step explanation:

3 0
3 years ago
How many times greater is 46 than 0.46? Explain to a classmate
Monica [59]
46:0.46=\dfrac{46}{0.46}=\dfrac{46\cdot100}{0.46\cdot100}=\dfrac{4,600}{46}=\boxed{100}\\\\Answer:\huge\boxed{100\ times}
5 0
3 years ago
Read 2 more answers
Rewrite using the Associative Property, then evaluate. 10 x (3 x 14) & (12 + 21) + 34
Eduardwww [97]
10 times (3*4)
You have to multiply 10 with both of the numbers in parenthesis
So, 10*3=30 and 10*4=40
30+40=70
Does this look right for the first one

5 0
3 years ago
Other questions:
  • In what conditions can a factored expression be factored further?
    12·1 answer
  • ASA postulate <br> AAS theorem <br> SSS postulate<br> SAS postulate
    14·1 answer
  • What is the value of x2 + 4 for x = 5?
    11·2 answers
  • 5 ( x + 7 ) +2 ( y - 1 ) when x=7 and y=2
    6·2 answers
  • If an event is very unlikely to occur would it’s probability be zero
    7·1 answer
  • Pls help me with this
    5·1 answer
  • Tell me the Definition of each Word listed (math)
    5·1 answer
  • Find the simple interest if you invest $568 at 16% for 8 months.
    8·1 answer
  • If the equation is further simplified, which equation for a parabola does it become? x2 = 4py x2 = 2y2 2p2 y2 = 4px y2 = 4py.
    7·1 answer
  • the rectangle shown has a perimeter of 56 cm and the given area. it's length is 8 more than three times it's width. write and so
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!