# Factors of 624

Factors of 624 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, and 624

#### How to find factors of a number

 1.   Find factors of 624 using Division Method 2.   Find factors of 624 using Prime Factorization 3.   Find factors of 624 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 624

• Divide 624 by 1: 624 ÷ 1 : Remainder = 0
• Divide 624 by 2: 624 ÷ 2 : Remainder = 0
• Divide 624 by 3: 624 ÷ 3 : Remainder = 0
• Divide 624 by 4: 624 ÷ 4 : Remainder = 0
• Divide 624 by 6: 624 ÷ 6 : Remainder = 0
• Divide 624 by 8: 624 ÷ 8 : Remainder = 0
• Divide 624 by 12: 624 ÷ 12 : Remainder = 0
• Divide 624 by 13: 624 ÷ 13 : Remainder = 0
• Divide 624 by 16: 624 ÷ 16 : Remainder = 0
• Divide 624 by 24: 624 ÷ 24 : Remainder = 0
• Divide 624 by 26: 624 ÷ 26 : Remainder = 0
• Divide 624 by 39: 624 ÷ 39 : Remainder = 0
• Divide 624 by 48: 624 ÷ 48 : Remainder = 0
• Divide 624 by 52: 624 ÷ 52 : Remainder = 0
• Divide 624 by 78: 624 ÷ 78 : Remainder = 0
• Divide 624 by 104: 624 ÷ 104 : Remainder = 0
• Divide 624 by 156: 624 ÷ 156 : Remainder = 0
• Divide 624 by 208: 624 ÷ 208 : Remainder = 0
• Divide 624 by 312: 624 ÷ 312 : Remainder = 0
• Divide 624 by 624: 624 ÷ 624 : Remainder = 0

Hence, Factors of 624 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, and 624

#### 2. Steps to find factors of 624 using Prime Factorization

A prime number is a number that has exactly two factors, 1 and the number itself. Prime factorization of a number means breaking down of the number into the form of products of its prime factors.

There are two different methods that can be used for the prime factorization.

#### Method 1: Division Method

To find the primefactors of 624 using the division method, follow these steps:

• Step 1. Start dividing 624 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
• Step 2. After finding the smallest prime factor of the number 624, which is 2. Divide 624 by 2 to obtain the quotient (312).
624 ÷ 2 = 312
• Step 3. Repeat step 1 with the obtained quotient (312).
312 ÷ 2 = 156
156 ÷ 2 = 78
78 ÷ 2 = 39
39 ÷ 3 = 13
13 ÷ 13 = 1

So, the prime factorization of 624 is, 624 = 2 x 2 x 2 x 2 x 3 x 13.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 624 as shown below:

So, the prime factorization of 624 is, 624 = 2 x 2 x 2 x 2 x 3 x 13.

#### 3. Find factors of 624 in Pairs

Pair factors of a number are any two numbers which, which on multiplying together, give that number as a result. The pair factors of 624 would be the two numbers which, when multiplied, give 624 as the result.

The following table represents the calculation of factors of 624 in pairs:

Factor Pair Pair Factorization
1 and 624 1 x 624 = 624
2 and 312 2 x 312 = 624
3 and 208 3 x 208 = 624
4 and 156 4 x 156 = 624
6 and 104 6 x 104 = 624
8 and 78 8 x 78 = 624
12 and 52 12 x 52 = 624
13 and 48 13 x 48 = 624
16 and 39 16 x 39 = 624
24 and 26 24 x 26 = 624

Since the product of two negative numbers gives a positive number, the product of the negative values of both the numbers in a pair factor will also give 624. They are called negative pair factors.

Hence, the negative pairs of 624 would be ( -1 , -624 ) , ( -2 , -312 ) , ( -3 , -208 ) , ( -4 , -156 ) , ( -6 , -104 ) , ( -8 , -78 ) , ( -12 , -52 ) , ( -13 , -48 ) , ( -16 , -39 ) and ( -24 , -26 ) .

#### How can we define factors?

In mathematics, a factor is a number which divides into another number exactly, without leaving any remainder. A factor of a number can be positive of negative.

#### Properties of factors

• Each number is a factor of itself. Eg. 624 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 624.
• Every number is a factor of zero (0), since 624 x 0 = 0.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Every factor of a number is an exact divisor of that number, example 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624 are exact divisors of 624.
• Factors of 624 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624. Each factor divides 624 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624 are all less than or equal to 624.

• What are the prime factors of 624?

The factors of 624 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624.
Prime factors of 624 are 2, 2, 2, 2, 3, 13.

• What two numbers make 624?

Two numbers that make 624 are 2 and 312.

• What is the greatest prime factors of 624?

The greatest prime factor of 624 is 13.

• What are factors of 624?

Factors of 624 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624.

• How do you find factors of a negative number? ( eg. -624 )?

Factors of -624 are -1, -2, -3, -4, -6, -8, -12, -13, -16, -24, -26, -39, -48, -52, -78, -104, -156, -208, -312, -624.

• What are five multiples of 624?

First five multiples of 624 are 1248, 1872, 2496, 3120, 3744.

• Write some multiples of 624?

First five multiples of 624 are 1248, 1872, 2496, 3120.

• Is 624 a perfect square?

No 624 is not a perfect square.

• What two numbers make 624?

Two numbers that make 624 are 2 and 312.

#### Examples of Factors

What is prime factorization of 624?

Prime factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13 = 24 x 3 x 13.

Sammy is puzzled while calculating the prime factors of 624. Can you help him find them?

Factors of 624 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624.
Prime factors of 624 are 2, 2, 2, 2, 3, 13

Kevin has been asked to write 19 factor(s) of 624. Can you predict the answer?

19 factor(s) of 624 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312.

Joey wants to write all the prime factors of 624 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 624 are 2, 2, 2, 2, 3, 13.
So in exponential form it can be written as 24 x 3 x 13.

How many factors are there for 624?

Factors of 624 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624.
So there are in total 20 factors.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 624? Help her in writing all the factors.

Positive factors are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624.
Negative factors are -1, -2, -3, -4, -6, -8, -12, -13, -16, -24, -26, -39, -48, -52, -78, -104, -156, -208, -312, -624.

Can you help Rubel to find out the product of the even factors of 624?

Factors of 624 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624.
Even factors of 624 are 2, 4, 6, 8, 12, 16, 24, 26, 48, 52, 78, 104, 156, 208, 312, 624.
Hence, product of even factors of 624 is; 2 x 4 x 6 x 8 x 12 x 16 x 24 x 26 x 48 x 52 x 78 x 104 x 156 x 208 x 312 x 624 = 5.88459641386369e+24.