What are the Factors of 141?

The following are the different types of factors of 141:

• Factors of 141: 1, 3, 47, 141

• Sum of Factors of 141: 192

• Negative Factors of 141: -1, -3, -47, -141

• Prime Factors of 141: 3, 47

• Prime Factorization of 141: 3^1 × 47^1

There are two ways to find the factors of 141: using factor pairs, and using prime factorization.

Factor pairs of 141 are any two numbers that, when multiplied together, equal 141. The question to ask is “what two numbers multiplied together equal 141?” Every factor can be paired with another factor, and multiplying the two will result in 141.

To find the factor pairs of 141, follow these steps:

Step 1:

Find the smallest prime number that is larger than 1, and is a factor of 141. For reference, the first prime numbers to check are 2, 3, 5, 7, 11, and 13. In this case, the smallest factor that’s a prime number larger than 1 is 3.

Step 2:

Divide 141 by the smallest prime factor, in this case, 3:

141 ÷ 3 = 47

3 and 47 will make a new factor pair.

Step 3:

Repeat Steps 1 and 2, using 47 as the new focus. Find the smallest prime factor that isn’t 1, and divide 47 by that number. In this case, 47 is the new smallest prime factor:

47 ÷ 47 = 1

Remember that this new factor pair is only for the factors of 47, not 141. So, to finish the factor pair for 141, you’d multiply 3 and 47 before pairing with 1:

3 x 47 = 141

Step 4:

Repeat this process until there are no longer any prime factors larger than one to divide by. At the end, you should have the full list of factor pairs.

Here are all the factor pairs for 141:

(1, 141), (3, 47)

So, to list all the factors of 141: 1, 3, 47, 141

The negative factors of 141 would be: -1, -3, -47, -141

To find the Prime factorization of 141, we break down all the factors of 141 until we are left with only prime factors. We then express n as a product of multiplying the prime factors together.

The process of finding the prime factorization of 141 only has a few differences from the above method of finding the factors of 141. Instead of ensuring we find the right factor pairs, we continue to factor each step until we are left with only the list of smallest prime factors greater than 1.

Here are the steps for finding the prime factorization of 141:

Step 1:

Find the smallest prime number that is larger than 1, and is a factor of 141. For reference, the first prime numbers to check are 2, 3, 5, 7, 11, and 13. In this case, the smallest factor that’s a prime number larger than 1 is 3.

Step 2:

Divide 141 by the smallest prime factor, in this case, 3

141 ÷ 3 = 47

3 becomes the first number in our prime factorization.

Step 3:

Repeat Steps 1 and 2, using 47 as the new focus. Find the smallest prime factor that isn’t 1, and divide 47 by that number. The smallest prime factor you pick for 47 will then be the next prime factor. If you keep repeating this process, there will be a point where there will be no more prime factors left, which leaves you with the prime factors for prime factorization.

So, the unique prime factors of 141 are: 3, 47

Practice your factoring skills by exploring how to factor other numbers, like the ones below:

Factors of 88 - The factors of 88 are 1, 2, 4, 8, 11, 22, 44, 88

Factors of 24 - The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24

Factors of 129 - The factors of 129 are 1, 3, 43, 129

Factors of 29 - The factors of 29 are 1, 29