What are the Factors of 425?

The following are the different types of factors of 425:

• Factors of 425: 1, 5, 17, 25, 85, 425

• Sum of Factors of 425: 558

• Negative Factors of 425: -1, -5, -17, -25, -85, -425

• Prime Factors of 425: 5, 17

• Prime Factorization of 425: 5^2 × 17^1

There are two ways to find the factors of 425: using factor pairs, and using prime factorization.

Factor pairs of 425 are any two numbers that, when multiplied together, equal 425. The question to ask is “what two numbers multiplied together equal 425?” Every factor can be paired with another factor, and multiplying the two will result in 425.

To find the factor pairs of 425, follow these steps:

Step 1:

Find the smallest prime number that is larger than 1, and is a factor of 425. 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 5.

Step 2:

Divide 425 by the smallest prime factor, in this case, 5:

425 ÷ 5 = 85

5 and 85 will make a new factor pair.

Step 3:

Repeat Steps 1 and 2, using 85 as the new focus. Find the smallest prime factor that isn’t 1, and divide 85 by that number. In this case, 5 is the new smallest prime factor:

85 ÷ 5 = 17

Remember that this new factor pair is only for the factors of 85, not 425. So, to finish the factor pair for 425, you’d multiply 5 and 5 before pairing with 17:

5 x 5 = 25

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 425:

(1, 425), (5, 85), (17, 25)

So, to list all the factors of 425: 1, 5, 17, 25, 85, 425

The negative factors of 425 would be: -1, -5, -17, -25, -85, -425

To find the Prime factorization of 425, we break down all the factors of 425 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 425 only has a few differences from the above method of finding the factors of 425. 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 425:

Step 1:

Find the smallest prime number that is larger than 1, and is a factor of 425. 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 5.

Step 2:

Divide 425 by the smallest prime factor, in this case, 5

425 ÷ 5 = 85

5 becomes the first number in our prime factorization.

Step 3:

Repeat Steps 1 and 2, using 85 as the new focus. Find the smallest prime factor that isn’t 1, and divide 85 by that number. The smallest prime factor you pick for 85 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 425 are: 5, 17

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

Factors of 127 - The factors of 127 are 1, 127

Factors of 137 - The factors of 137 are 1, 137

Factors of 134 - The factors of 134 are 1, 2, 67, 134

Factors of 82 - The factors of 82 are 1, 2, 41, 82