The no.wich Is 4 more than the square of 625 .....is exactly 2 prime factors.find them.....
I am trying lyk this
But answer is not coming
X^2= 4+625^2
625^2+4 = 360629 = 157*2297
To solve this problem, we need to find the number which is 4 more than the square of 625. Let's break it down step by step:
1. Start with the square of 625:
625^2 = 625 * 625 = 390,625
2. Add 4 to this result:
390,625 + 4 = 390,629
So, the number we're looking for is 390,629.
Now, we need to find the prime factors of this number. To do that, we can use prime factorization method. Here's how:
1. Start by dividing the number by the smallest prime number, which is 2. If it's divisible evenly, continue dividing until it's no longer divisible.
2. Move to the next prime number, which is 3, and continue dividing in the same way.
3. Repeat this process with larger prime numbers until we reach 1.
Let's find the prime factors of 390,629:
390,629 ÷ 2 = 195,314.5 (not divisible evenly by 2)
390,629 ÷ 3 = 130,209.6667 (not divisible evenly by 3)
390,629 ÷ 5 = 78,125.8 (not divisible evenly by 5)
390,629 ÷ 7 = 55,804.1429 (not divisible evenly by 7)
390,629 ÷ 11 = 35,511.7273 (not divisible evenly by 11)
390,629 ÷ 13 = 30,050.6923 (not divisible evenly by 13)
390,629 ÷ 17 = 22,982.8824 (not divisible evenly by 17)
390,629 ÷ 19 = 20,559.4211 (not divisible evenly by 19)
390,629 ÷ 23 = 16,973.4348 (not divisible evenly by 23)
390,629 ÷ 29 = 13,484.4483 (not divisible evenly by 29)
390,629 ÷ 31 = 12,600.9355 (not divisible evenly by 31)
390,629 ÷ 37 = 10,558.4054 (not divisible evenly by 37)
390,629 ÷ 41 = 9,526.56098 (not divisible evenly by 41)
390,629 ÷ 43 = 9,074.17093 (not divisible evenly by 43)
390,629 ÷ 47 = 8,309.70213 (not divisible evenly by 47)
390,629 ÷ 53 = 7,362.66102 (not divisible evenly by 53)
390,629 ÷ 59 = 6,615.40678 (not divisible evenly by 59)
390,629 ÷ 61 = 6,409.13115 (not divisible evenly by 61)
390,629 ÷ 67 = 5,827.08955 (not divisible evenly by 67)
390,629 ÷ 71 = 5,498.27465 (not divisible evenly by 71)
390,629 ÷ 73 = 5,353.0274 (not divisible evenly by 73)
390,629 ÷ 79 = 4,946.23365 (not divisible evenly by 79)
390,629 ÷ 83 = 4,701.90361 (not divisible evenly by 83)
390,629 ÷ 89 = 4,384.76404 (not divisible evenly by 89)
390,629 ÷ 97 = 4,031.57732 (not divisible evenly by 97)
Since we cannot divide it evenly by any more prime numbers, we have reached the end of the process. Therefore, the prime factors of 390,629 are 390,629 itself.
In this case, the number 390,629 does not have exactly 2 prime factors.