Find the missing primef actor.
18. 22 X 33 X □ = 324
19. 24 X 32 X □ = 720
20. 52 X 32 X □ = 1575
21. 72 X 25 X □ = 17 248
22. 33 X ll2 X □ = 16 335
18. The missing prime factor is 3.
19. The missing prime factor is 5.
20. The missing prime factor is 7.
21. The missing prime factor is 13.
22. The missing prime factor is 5.
To find the missing prime factor in each equation, we need to factorize the given numbers on the left side of the equation and then identify the missing prime factor needed to equal the number on the right side of the equation.
Let's solve each equation step-by-step:
18. To find the missing prime factor, we need to factorize 18, 22, 33, and 324:
18 = 2 x 3 x 3
22 = 2 x 11
33 = 3 x 11
324 = 2 x 2 x 3 x 3 x 3 x 3
So, the missing prime factor in this equation is 3.
19. To find the missing prime factor, we need to factorize 24, 32, and 720:
24 = 2 x 2 x 2 x 3
32 = 2 x 2 x 2 x 2 x 2
720 = 2 x 2 x 2 x 2 x 3 x 3 x 5
So, the missing prime factor in this equation is 5.
20. To find the missing prime factor, we need to factorize 52, 32, and 1575:
52 = 2 x 2 x 13
32 = 2 x 2 x 2 x 2 x 2
1575 = 3 x 3 x 5 x 5 x 7
So, the missing prime factor in this equation is 7.
21. To find the missing prime factor, we need to factorize 72, 25, and 17248:
72 = 2 x 2 x 2 x 3 x 3
25 = 5 x 5
17248 = 2 x 2 x 2 x 2 x 7 x 7 x 7
So, the missing prime factor in this equation is 7.
22. To find the missing prime factor, we need to factorize 33, 112, and 16335:
33 = 3 x 11
112 = 2 x 2 x 2 x 2 x 7
16335 = 3 x 5 x 7 x 31
So, the missing prime factor in this equation is 31.
To find the missing prime factor in each equation, we first need to understand the concept of prime factors. Prime factors are the prime numbers that when multiplied together, result in a given number.
Let's solve each equation step by step:
18. 22 X 33 X □ = 324
To find the missing prime factor, we divide 324 by the product of 22 and 33.
324 / (2 * 2 * 3 * 3) = 324 / 36 = 9
Therefore, the missing prime factor is 9.
19. 24 X 32 X □ = 720
Similarly, we divide 720 by the product of 24 and 32.
720 / (2 * 2 * 2 * 2 * 3 * 3) = 720 / 144 = 5
Therefore, the missing prime factor is 5.
20. 52 X 32 X □ = 1575
Divide 1575 by the product of 52 and 32.
1575 / (5 * 5 * 2 * 2 * 2 * 2 * 2 * 2 * 3 * 3) = 1575 / 576 = 2.734375
As the result is not a whole number, there is no prime factor missing in this case.
21. 72 X 25 X □ = 17,248
Similarly, divide 17,248 by the product of 72 and 25.
17,248 / (2 * 2 * 2 * 2 * 3 * 3 * 5 * 5) = 17,248 / 3600 = 4.7911...
Since the result is not a whole number, there is no prime factor missing.
22. 33 X 112 X □ = 16,335
Divide 16,335 by the product of 33 and 112.
16,335 / (3 * 3 * 11 * 2 * 2 * 2) = 16,335 / 792 = 20.670454...
No missing prime factor in this case.
In summary:
18. The missing prime factor is 9.
19. The missing prime factor is 5.
20. No missing prime factor.
21. No missing prime factor.
22. No missing prime factor.