Question: Choose the prime factorization of 242.
A ) 11 × 11
B ) 2 × 2 × 11
C ) 2 × 11
D ) 2 × 11 × 11
Steps to derive
1 The factor tree of 242 is:
[242 = 2 × 121, 121 = 11 × 11.]
2 The circled numbers in the factor tree are the prime factors of 242.
3 242 = 2 × 11 × 11
4 So, the prime factorization of 242 is 2 × 11 × 11.
Hence the right answer is Option D
Click Here To Go Back
Few Other Questions -
Find the value of n in the equation. 18 = 4 + n..Solve the equation below.m- 12 = - 13..Solve a6 = 18...Solve: - 9b = 81..Solve the equation, 8m = 136...Solve, 2z + 1 = - 3...Solve: - a + (49a - 7) = 233..Solve: 23 = k(-5) + 22..Choose a graph that represents the system of inequalities:x ≥ 0y ≥ 04x + 6y ≤ 12..Which of the graphs represents the system of equations, - 2x + 3y > 6 and x + y ≤ - ..How many solutions do the systems of linear inequalities - x + 2y ≥ 6 and x - 2y ≥ 4..Which of the following ordered pairs satisfies the linear system? x - y = 5 &n..Which of the following ordered pairs satisfies the linear system? 5x - 4y = 4 ..Which of the following ordered pairs satisfies the linear system? 3x + 2y = 16 &nbs..Which of the following ordered pairs satisfies the linear system? a = b - 4 &nbs..Solve the linear system: w + z = 5 2w = 6..Solve the linear system.x - 4y = -26- x + 8y = 58..Which of the following ordered pairs satisfies the linear system?5x + 3y = -7 5x - 3y = -1..Which of the following ordered pairs satisfies the linear system?2x - 3y = 8- 6x + 3y = 8..Solve the linear system.3x + y = 102x + y = 6..Which of the following ordered pairs satisfies the linear system?- 4x + 3y = - 33y = 3 + 2..Which of the following solutions satisfies the linear system?3x - y = - 3- 2x + 3y = 2..Solve the linear system:4x + y = - 66 5x - 4y = 12 ..Which of the following solutions satisfies the linear system? 2x + 3y = 3- 15y = - 14 + 8x..If f(x) = 10x - 4, then find f(z - 5)...Express the equation 3g + 6h = - 3g - 2h such that g is a function of h...Find the base of a triangle, if area of the triangle A and height h are known...The formula for the volume of a rectangular pyramid is V = (13)lwh. Select a formula that ..Solve 1f = 1u + 1v for u...Find the number of solutions for the linear system.x + y = - 4x + y = - 1..Find the number of solutions for the linear system.- 2x + y = - 4- 10x + 5y = - 20..Which of the following linear systems matches the graph?..Which of the following equations is not a linear equation?..Which of the following is a solution for the inequality, - 3 ≤ - x + 3 < 5?..Which of the following is a solution for the compound inequality, x + 6 ≤ 4 or 2x - 3 &..Identify the solution for the inequality.- 0.4 < x + 0.5 ≤ 1.4..Which graph represents the solution of the inequality, 3x + 1 < 10 (or) 3x - 5 ≥ 10?..Choose a graph that represents the following system of inequalities.x ≥ 0y ≥ 04x + 6..Which of the graphs represent the system of equations - 2x + 3y > 6 and x + y ≤ - 3?..How many solutions does the system of linear inequalities - x + 2y ≥ 6 and x - 2y ≥ ..Factor.9x4 + 18x..Factor.6a5 + 12a3 - 3a2..Factor the expression completely. - 4w4 + 28w3..Factor the expression x4 + x3 - 16x -16 completely...Factor the expression 4n5 + 8n4 - 2n2 - 6n - 4 completely...Factor.x2 - 4x - 21..Two square playgrounds have areas of 4x2 and 9y2. Express the difference in area in a fact..Express the following as a perfect square.y²z² + 5.8yz + 8.41..Express the following as a perfect square.v2 - 16ve + 64e2..Express as a perfect square: 0.16v2 - 7.2v + 81..Which of the following is an arithmetic sequence?I. 3, 6, 9, 12, ... II. 3, 6, 12, 2..Which of the following is an arithmetic sequence?I. 6, 10, 14, 18, ...II. 8, 11, 14,..Identify the common difference of the arithmetic sequence. 10, 7, 4, 1, - 2, .....The nth term of the arithmetic sequence 6, 12, 18, 24, ... is ______...Find the common difference of the arithmetic sequence and identify the next two terms.34, ..A bank pays 3% interest compounded yearly on a deposit of $600. What will be the balance i..There are 15 lions in a zoo. What will be their population after 4 years, if the populatio..Rents in a particular area are increasing by 2% every year. Predict the rent of the apartm..What is the percent increase in the growth of a tree if the initial height of the tree is ..The price of gold is $300 per 10 grams in the month of January. It loses its value at a ra..The average length of a person's hair at birth is 0.36 inches. The length of the hair incr..The profit made by a software company in 1992 was $448 million. Identify an expression to ..Which of the following models is an exponential decay model?..Frank started a business in the year 1991. He got $27,000 profit in the first year. Each y..A company purchased machinery in the year 1990 for $25,000. Its cost depreciates at a rate..Select a direct variation model that relates the perimeter(p) of a square to its side(s)...Joe pays $20 per day for his stay in a hotel. Find a direct variation model that relates h..Eddy works at an automobile servicing center. Each day he earns $27 and an additional of $..The time taken by a tap to fill a container is directly proportional to the volume of the ..Find the next three terms in the sequence.5, 2.5, 1.25, 0.625, . . ...Evaluate the expression 5 × 4n for n = 1, 2, 3 and 4 and identify the sequence forme..The sequence 3, 6, 12, 24... falls under which of the following categories?..Find the geometric mean of the numbers 2 and 10...The geometric mean of numbers a and 14 is 72. Find a...Find the smallest of three geometric means between 7 and 4375...The endpoints of a line segment are (8, - 16) and (4, - 4). Find the midpoint of the line ..The midpoint divides the line-segment into _____...Find the midpoint of the line-segment AB in the graph...One endpoint of a line-segment is (4x, 6y) and other endpoint is (1, 3). Find the value of..Find the midpoint of the segment OB if B is at (10, 10) and O is the origin...Find the value of x in the right triangle...Find the value of x in the figure...The length of the chord AB = 14 inches. What is the radius of the circle?..The hypotenuse of a right triangle is 2 feet more than its longer leg. The length of short..One end of a 15 foot long wire is tied to the top of a pole and the other end is fixed on ..Jim has drawn a picture of the Eiffel Tower using a scale of 1 inch : 82 yd as shown. Fin..The scale of the couch shown is 1 inch : 34 feet. Find the actual height of the couch, if ..Find the scale factor from the larger triangle to the smaller triangle, if the two triangl..A scale drawing of a bus is 1 in. : 3 ft. Find the actual height of the bus, if the height..The figure shows the picture of the layout of a house. If the actual length of the living ..D is a point on side BC of ΔABC such that m∠ADC = m∠BAC. If CA = 10 cm. and ..The measure of the sides of ΔABC are 6 cm, 8 cm, and 13 cm. Find the side lengths of..ΔPQR is similar to ΔABC, m∠A = 35, and m∠B = 63. Find the measures of..ΔABC is similar to ΔPQR. AB = 12 cm., BC = 13 cm. and AC = 10 cm. If PQ = 5 cm..Find the value of tan R, if a = 27 units, b = 36 units and c = 45 units...Find the value of sin A, if x = 5 units, y = 12 units and a = 13 units...What is the length of side RP in ΔPQR?..ABC is a right triangle. What is the measure of ∠ACB, if AB = 3 cm and AC = 6 cm?..In right triangle PQR, if ∠Q = 90°, p = 32 and r = 13, then find the measure of &a..Solve: 2x - 1 = 5..
|
|
