The prime factors of 297 are: 3 and 11
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As a product of its prime factors: 3*3*3*11 = 297 or as 1*1*1*297 = 297
Little Mathematical trick. If the digits in a number add up to 3 or a multiple of 3 then that number is divisible by 3. If the digits of a number add up to 9 or a multiple of 9 then that number is divisible by 9. 2 + 9 + 7 = 18 ........which is a multiple of both 3 and 9. Lets start with 3 297 ÷ 3 = 99 (9 + 9 = 18 so we can divide again by 3 and/or9) 99 ÷ 3 = 33 (3 + 3 = 6 so we can divide by 3) 33 ÷ 3 = 11 (11 is a prime number so no more factors. The prime factors of 297 are 33 and 11. The factors of 297 are : 297, 99, 33, 27, 11, 9, 3 and 1
That is it. The fraction does not reduce at all, since 140 and 297 have no common factors. ■
The following numbers less than 50 have 2 prime factors. Some are squares, having two of the same prime factor. Some have two different prime factors. The prime factors of 4 are 2 and 2. The prime factors of 6 are 2 and 3. The prime factors of 9 are 3 and 3. The prime factors of 10 are 2 and 5. The prime factors of 14 are 2 and 7. The prime factors of 15 are 3 and 5. The prime factors of 21 are 3 and 7. The prime factors of 22 are 2 and 11. The prime factors of 25 are 5 and 5. The prime factors of 26 are 2 and 13. The prime factors of 33 are 3 and 11. The prime factors of 34 are 2 and 17. The prime factors of 35 are 5 and 7. The prime factors of 38 are 2 and 19. The prime factors of 39 are 3 and 13. The prime factors of 46 are 2 and 23. The prime factors of 49 are 7 and 7.
The prime factors of 18 are 2, 3, and 3. The prime factors of 90 are 2, 3, 3, and 5. The prime factors they have in common are 2, 3, and 3. Since 18 is a factor of 90, its prime factors will be the prime factors that the two numbers have in common.