MATHEMATICS HIGH SCHOOL

What is the prime factorization of 14641?

Answers

Answer 1

Answer:

Answer:

$\sf 14641 = 11 * 11 * 11 * 11$

Step-by-step explanation:

The prime factorization of a number is the product of the prime numbers that divide it.

In order to find the prime factorization of 14641, we can use the following steps:

Start by dividing 14641 by the smallest prime number, 2.
If 14641 is divisible by 2, then write 2 as a factor of 14641 and divide 14641 by 2.
Repeat steps 1 and 2 with the next smallest prime number, 3.
Continue repeating steps 1 and 2 until 14641 is no longer divisible by any prime number.
The prime factorization of 14641 is the product of all of the prime numbers that we found in steps 1-4.

The prime factorization of 14641 is:

$\sf 14641 = 11 * 1331 = 11 * 11 * 121 = 11 * 11 * 11 * 11$

Therefore, the prime factorization of 14641 is:

$\sf 14641 = 11 * 11 * 11 * 11$

Answer 2

Answer:

The prime factorization of 14,641 is 11*11*11*11.

Step-by-step explanation:

Prime factorization is the finding of the prime factors of a certain number by rigorous division that is the number is divided multiple times by prime factors to ultimately getting the quotient as 1, that is the number is completely factorized and the divisors for each step of the rigorous division is considered as the prime factors of the number to be factorized.

14641 when divided by 11, divides the number completely giving the remainder 0 and the quotient as 1331. Now, the next step is to divide the quotient again by 11. This gives 121. When 121 is divided by 11 again, the remainder found out is 0 and the quotient is 11. Finally, when 11 is divided by 11, we get 1 as the quotient and that gives us the final set of prime factors of the number 14641.

Hence, the prime factorization of 14,641 is 11*11*11*11

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Whats 1/5 divided by 5

Answers

1/5 ÷ 5
when a fraction is being divided by a number you multiply the first number by the reciprocal of the second number. A reciprocal is basically a number that can be multiplied by the first number to make 1
So in this case the reciprocal of 5 is 1/5
now just multiply and get 1/25
So the answer is 1/25

First, we have to make sure both numbers are fractions.
The first number is already a fraction; make the second whole number into a fraction.

$5$ as a fraction is $(5)/(1)$ .

Now follow these steps:
Rewrite equation.
Switch division sign to multiplication.
Find reciprocal of the second fraction, which means to flip the fraction around.
Cross multiply.
Simplify if needed.

Now let's put that into this equation.

$(1)/(5)/ (5)/(1)\n \n(1)/(5) * (5)/(1) \n \n (1)/(5) * \frac {1}{5} \n \n 1*1=1\n4*5=25 \n \n (1)/(25)$

Mrs. mac spent $31.96 on four pizzas. what is the unit rate of cost per pizza?

Answers

The unit rate is $7.99 for one pizza. This is proven by $31.96 divided by 4 being 7.99

Needin help for math

Answers

Answer: Solution: -2.3

Step-by-step explanation:

1. On the number line, start at the leftmost number of the subtraction problem (the minuend)

2. Move to the left by the number of units being subtracted away (subtrahend)

Thus, you get your answer.

Richard klein works as an auto mechanic and earns the following commission rate: 3.00% for oil changes, 5.00% for tune ups and 6.25% on auto part sales. He is guaranteed a minimum salary of $2,450.00 per month. Last month he brought in $2,500.00 in oil changes,$4,500.00 in tune ups and sold $28,200.00 in parts. What is his gross pay for the month?

Answers

Richard's gross pay for the month was $ 4,512.5.

It is required to find the gross pay for the month.

What is arithmetic?

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

commission rate: 3.00% for oil changes, 5.00% for tune ups and 6.25% on auto part sales.

salary = $2,450.00 per month

Last month salary= $2,500.00 in oil changes,

tune ups=$4,500.00

sold =$28,200.00 in parts.

According to given question we have,

2,450 + (2,500 x 0.03) + (4,500 x 0.05) + (28,200 x 0.0625) = X

2,450 + 75 + 225 + 1,762.5 = X

2,450 + 2,062.5 = X

4,512.5 = X

Therefore, Richard's gross pay for the month was $ 4,512.5.