Given x + y + Z + XY + XZ + YZ + XYZ = 182 (where x, y, Z are all natural numbers, and x > y > z), find the value of X, y, Z Why do you want + 1 on both sides?

Both sides are the same + 1
x+y+z+xy+xz+yz+xyz=182
X (1 + y) + y + 1 + Z (1 + x) + YZ (1 + x) = 183, 14, 35, 67
(y+1)(x+1)+z(1+x)+yz(1+x)=183
(x+1)(y+1+z+yz)=183
(x+1)[(y+1)+z(1+y)]=183
(x+1)(y+1)(z+1)=183=1*3*61
x=60 y=2 z=0

RELATED INFORMATIONS

1. If XYZ + XY + YZ + ZX + X + y + Z = 1975, find the natural numbers x, y, Z Process~
2. If XYZ is a natural number and x = YZ, then y must be the greatest common factor of X and Z,
3. A is a natural number that is not equal to 0. What is 1 / 3 divided by a
4. A is a natural number that is not equal to 0. (1) what is one-third divided by a (2) How much is one of a divided by three. I'll offer you a reward immediately
5. Given x ^ n = 4, find the value of x ^ 2n and x ^ 3N
6. Given that n is a positive integer and x ^ 2n = 5, find the value of 3 (x ^ n) ^ 2 + 2 (x ^ 3n) ^ 2 + 35
7. Known: x ^ 2n = 5, find the value of (1 / 3x ^ 3n) ^ 2-3 * (x ^ 2) ^ 2n
8. 3N + 1 times of X, n-1 times of Y + 2n + 1 times of 2x, 2N-1 times of Y + N + 1 times of X, y3n-1 times of X
9. If x ^ 2n equals 5, then (2x ^ 3n) ^ 2 equals?
10. It is known that the system of equations x-2y = 1, x + 2Y = n and X + y = m, 2n-3y = 5 about XY have common solutions
11. X is equal to seven x (XY is a non-zero natural number), then the greatest common factor of X and Y is the least common multiple?
12. If the natural number x
13. A three digit number can be the sum of 11 consecutive natural numbers, 12 consecutive natural numbers or 13 consecutive natural numbers, What's the three digit number
14. It is known that the solution of the equation 2aX = [a + 3] x + 12 about X is a natural number, and the value of integer a is determined
15. If 2 times of a natural number plus 12 is equal to K times of the sum of 3 times of the natural number, then the value of K is A. 3 or 4 B. 4 or 5 C. 3 or 5 D. 3 or 4 or 5
16. What natural numbers can be filled in 5 / 12 * 3 / 4 > () 5 / 12
17. If 6 / 2 of X-2 is a natural number, then the value of natural number x satisfying the condition is_____ individual
18. In 8 parts x (x is a natural number), if it is a band fraction, the minimum energy of X is (), if it is equal to 0, X can only be ()
19. X multiplied by a natural number minus x is equal to a natural number For example, multiply X by 3 minus x = 8, find x, write out the specific solution of the equation and give an explanation,
20. Given that x, y and Z are natural numbers and x < y, when x + y = 1999 and z-x = 2000, what is the largest value of X + y + Z?