# What are factors and Prime Factors?

## What are factors and Prime Factors?

Factors of a number are the numbers that are multiplied to get the original number. For example; 4 and 5 are the factors of 20, i.e. 4 × 5 = 20, whereas prime factors of a number are the prime numbers that are multiplied to get the original number.

What are the Prime Factors of 325?

Factors of 325

• All Factors of 325: 1, 5, 13, 25, 65 and 325.
• Negative Factors of 325: -1, -5, -13, -25, -65 and -325.
• Prime Factors of 325: 5, 13.
• Prime Factorization of 325: 52 × 131
• Sum of Factors of 325: 434.

What are 31 Prime Factors?

The factors of 31 are 1 and 31. It’s only expressed as 31 × 1 or 1 × 31. Hence, 31 is a prime number.

### What are 28 Prime Factors?

Its Prime Factors are 1, 2, 4, 7, 14, 28 and (1, 28), (2, 14) and (4, 7) are Pair Factors.

What is the prime factor method?

Step 1: Divide the given number by the smallest prime number. In this case, the smallest prime number should divide the number exactly. Step 2: Again, divide the quotient by the smallest prime number. Step 3: Repeat the process, until the quotient becomes 1. Step 4: Finally, multiply all the prime factors.

Why do we use prime factors?

Why find Prime Factors? A prime number can only be divided by 1 or itself, so it cannot be factored any further! Every other whole number can be broken down into prime number factors. This idea can be very useful when working with big numbers, such as in Cryptography.

## What are the prime factors of 441?

Factors of 441

• Factors of 441: 1, 3, 7, 9, 21, 49, 63, 147 and 441.
• Negative Factors of 441: -1, -3, -7, -9, -21, -49, -63, -147 and -441.
• Prime Factorization of 441: 3 × 3 × 7 × 7.

What are the prime factors of 324?

Factors of 324

• Factors of 324: 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, and 324.
• Prime Factorization of 324: 324 = 2 × 2 × 3 × 3 × 3 × 3 = 22 × 34

What are the Prime Factors of 32?

Here, 32 is the biggest factor. The sum of all factors of 32 is 63. Its Prime Factors are 1, 2, 4, 8, 16, 32 and (1, 32), (2, 16) and (4, 8) are Pair Factors.

### What are the Prime Factors of 30?

The number 30 can be written in prime factorization as 2 x 3 x 5. All of the factors are prime numbers. Using exponential form, 30 = 213151, indicating that there is one 2, one 3 and one 5 multilplied together to get the result of 30.

What are the prime factors of 25?

Its Prime Factors are 1, 5, 25, and (1, 25) and (5, 5) are Pair Factors.

• Factors of 25: 1, 5 and 25.
• Negative Factors of 25: -1, -5 and -25.
• Prime Factors of 25: 5.
• Prime Factorization of 25: 5 × 5 = 52
• Sum of Factors of 25: 31.