Can you find two whole numbers, with the smallest possible difference between them, which when multipled together equal: 1234567890? Thank you, Bradley Kloetzly Grade 11, Student Hi Bradley, This is an interesting question. I first took the square root of 1 234 567 890 to see if I could guess the correct answer. The square root is 35 136.4 which didn't help. The "right" way to solve this problem is to find the prime factors of 1 234 567 890 and then arrange the prime into two groups to give two factors whose product is 1 234 567 890. The challenge I expected to be the choice of the two groups so that the two resulting factors would have a minimum difference. Clearly 1 234 567 890 is divisible by 10 so 2 and 5 are prime factors. Thus 1 234 567 890 = 2x5x123 456 789. 1+2+3+4+5+6+7+8+9 = 45 which is divisible by 9 so 123 456 789 is divisible by 9. The division produces 2 x 32 x 5 x 13 717 421 Faced with finding the prime factors of 13 717 421 I resorted to using mathematical software, Mathematica, which gave 13 717 421 as the product of the two primes 3607 and 3803. Thus the prime factorization is 1 234 567 890 = 2 x 32 x 5 x 3607 x 3803. The answer to the original problem is then clear. The factors are 2 x 5 x 3607 = 36 070 and 9 x 3803 = 34 227 Cheers, Harley Go to Math Central