factors of 429
The factors of 429 are:
1, 3, 11, 13, 33, 39, 121, 143, 363, and 429
To find the factors of 429, we can use division method:
1. Start by dividing 429 by 1: 429 ÷ 1 = 429.
2. Divide 429 by 2: 429 ÷ 2 = 214.5 (not a whole number).
3. Divide 429 by 3: 429 ÷ 3 = 143 (not a whole number).
4. Divide 429 by 4: 429 ÷ 4 = 107.25 (not a whole number).
5. Divide 429 by 5: 429 ÷ 5 = 85.8 (not a whole number).
6. Divide 429 by 6: 429 ÷ 6 = 71.5 (not a whole number).
7. Divide 429 by 7: 429 ÷ 7 = 61.28 (not a whole number).
8. Divide 429 by 8: 429 ÷ 8 = 53.625 (not a whole number).
9. Divide 429 by 9: 429 ÷ 9 = 47.6666 (not a whole number).
10. Divide 429 by 10: 429 ÷ 10 = 42.9 (not a whole number).
11. Divide 429 by 11: 429 ÷ 11 = 39 (a whole number).
Therefore, the factors of 429 are 1, 3, 11, 39, 143, and 429.
To find the factors of a number, such as 429, we need to determine all the numbers that divide evenly into it.
First, we can start by dividing 429 by the smallest prime number, which is 2. However, 429 is not divisible by 2 since it is an odd number. Therefore, we move on to the next prime number, which is 3.
Dividing 429 by 3, we get a quotient of 143 with no remainder. This means that 3 is a factor of 429.
Next, we divide 143 by the next prime number, 7, and we get a quotient of 20 with no remainder. Therefore, 7 is another factor of 429.
Continuing, we divide 20 by 2 and get a quotient of 10. Since 10 is divisible by 2, we keep dividing until the quotient is an odd number. We obtain a quotient of 5, which is a prime number. Hence, we can say that 2 is also a factor of 429.
Listing all the factors we found so far: 3, 7, and 2.
To make sure we have found all the factors, we continue dividing the quotient by the next prime numbers, which are 5, 11, 13, and so on. However, after dividing it by 5, we get a quotient of 1. This means that we have found all the prime factors of 429.
Therefore, the factors of 429 are: 1, 3, 7, 11, 13, 21, 33, 39, 77, 143, 231, 429.
Keep in mind that 1 and 429 are always factors of any number.