Divisors of 840

Divisors of a number are the numbers that can divide that number evenly, meaning they do not leave a remainder. For example, if you have the number 10, the divisors of 10 are the numbers that you can divide 10 by to get a whole number, like 1, 2, 5, and 10. The purpose of this article is to help you understand what divisors are, how to find them, and specifically to calculate the divisors of the number 840.

To understand divisors better, we need to talk about division. In a division problem, you have three important terms: the dividend, the divisor, and the quotient.

• The dividend is the number you want to divide.
• The divisor is the number you are dividing by.
• The quotient is the result of the division.

For example, let’s take the number 840. If we divide 840 by 1, we can write it like this:

840 / 1 = 840

In this case, 840 is our dividend, 1 is our divisor, and the quotient is 840.

Now, to find all the divisors of 840, we need to check each whole number from 1 up to 840 and see if it divides 840 without leaving a remainder. We’ll do this step by step:

1. Start with the number 1.
2. Divide 840 by each whole number up to 840.
3. If the division results in a whole number (meaning there is no remainder), then that number is a divisor of 840.

Let’s do some actual division calculations to find the divisors of 840.

1. 840 / 1 = 840 (whole number)
2. 840 / 2 = 420 (whole number)
3. 840 / 3 = 280 (whole number)
4. 840 / 4 = 210 (whole number)
5. 840 / 5 = 168 (whole number)
6. 840 / 6 = 140 (whole number)
7. 840 / 7 = 120 (whole number)
8. 840 / 8 = 105 (whole number)
9. 840 / 9 = 93.33 (not a whole number)
10. 840 / 10 = 84 (whole number)

This process continues until we reach the number 840, but we’ll stop here because we have found enough examples. The whole number quotients from our calculations show the divisors of 840 so far: 1, 2, 3, 4, 5, 6, 7, 8, 10, etc.

Now let’s summarize all the divisors of 840 neatly:

1. 1
2. 2
3. 3
4. 4
5. 5
6. 6
7. 7
8. 8
9. 10
10. 12
11. 14
12. 15
13. 20
14. 21
15. 24
16. 28
17. 30
18. 35
19. 42
20. 56
21. 60
22. 70
23. 84
24. 105
25. 120
26. 140
27. 168
28. 210
29. 280
30. 420
31. 840

In conclusion, the divisors of 840 include all the numbers mentioned in this neat format. Understanding divisors can help with various math problems, including finding factors, simplifying fractions, and even working with fractions!