The number 34,459,425 is the product of several consecutive positive odd numbers. What is the greatest of these numbers?
The answer is 11,486,475 because if you divide you number by 2 it ends in a decimal but if you divide it by 3, an odd number, you get the answer I have provided for you. This is the greatest number, the least would be 3 itself.
To find the greatest odd number that is a factor of 34,459,425, we can start by factoring out any 2's from the number. Since 34,459,425 is an odd number, we can be sure that it is not divisible by 2.
Now, let's find the prime factorization of 34,459,425:
34,459,425 = 5 × 688,918,5
As we can see, the prime factorization of 34,459,425 contains the factors 5 × 688,918.
To find the consecutive positive odd numbers that multiply to give 34,459,425, we can start with the odd number 5 (the smallest odd prime factor) and count upwards.
5 × 7 = 35
5 × 7 × 9 = 315
5 × 7 × 9 × 11 = 3465
5 × 7 × 9 × 11 × 13 = 45045
5 × 7 × 9 × 11 × 13 × 15 = 675675
5 × 7 × 9 × 11 × 13 × 15 × 17 = 11460675
As calculated, the greatest odd number that is a factor of 34,459,425 is 11460675.