Final answer:
The factors of 840 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, and 840. The options provided are A) 1, 2, 4, 7, 14, 28, B) 1, 2, 3, 4, 5, 6, C) 1, 5, 10, 15, 20, 30, and D) 1, 6, 12, 24, 35, 70.
Step-by-step explanation:
The correct answer is option D) 1, 6, 12, 24, 35, 70.
To determine the factors of 840, we need to find the numbers that can divide 840 without leaving any remainder. We can start by finding the prime factorization of 840, which is 2 x 2 x 2 x 3 x 5 x 7.
We can then use these prime factors to find the combinations of numbers that multiply together to give 840. In option D, the numbers 1, 6, 12, 24, 35, and 70 are all factors of 840.
Therefore, option D) 1, 6, 12, 24, 35, 70 is the correct answer.