# Factors of 1248

Factors of 1248 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 78, 96, 104, 156, 208, 312, 416, 624, and 1248

#### How to find factors of a number

 1.   Find factors of 1248 using Division Method 2.   Find factors of 1248 using Prime Factorization 3.   Find factors of 1248 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 1248

• Divide 1248 by 1: 1248 ÷ 1 : Remainder = 0
• Divide 1248 by 2: 1248 ÷ 2 : Remainder = 0
• Divide 1248 by 3: 1248 ÷ 3 : Remainder = 0
• Divide 1248 by 4: 1248 ÷ 4 : Remainder = 0
• Divide 1248 by 6: 1248 ÷ 6 : Remainder = 0
• Divide 1248 by 8: 1248 ÷ 8 : Remainder = 0
• Divide 1248 by 12: 1248 ÷ 12 : Remainder = 0
• Divide 1248 by 13: 1248 ÷ 13 : Remainder = 0
• Divide 1248 by 16: 1248 ÷ 16 : Remainder = 0
• Divide 1248 by 24: 1248 ÷ 24 : Remainder = 0
• Divide 1248 by 26: 1248 ÷ 26 : Remainder = 0
• Divide 1248 by 32: 1248 ÷ 32 : Remainder = 0
• Divide 1248 by 39: 1248 ÷ 39 : Remainder = 0
• Divide 1248 by 48: 1248 ÷ 48 : Remainder = 0
• Divide 1248 by 52: 1248 ÷ 52 : Remainder = 0
• Divide 1248 by 78: 1248 ÷ 78 : Remainder = 0
• Divide 1248 by 96: 1248 ÷ 96 : Remainder = 0
• Divide 1248 by 104: 1248 ÷ 104 : Remainder = 0
• Divide 1248 by 156: 1248 ÷ 156 : Remainder = 0
• Divide 1248 by 208: 1248 ÷ 208 : Remainder = 0
• Divide 1248 by 312: 1248 ÷ 312 : Remainder = 0
• Divide 1248 by 416: 1248 ÷ 416 : Remainder = 0
• Divide 1248 by 624: 1248 ÷ 624 : Remainder = 0
• Divide 1248 by 1248: 1248 ÷ 1248 : Remainder = 0

Hence, Factors of 1248 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 78, 96, 104, 156, 208, 312, 416, 624, and 1248

#### 2. Steps to find factors of 1248 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 1248 using the division method, follow these steps:

• Step 1. Start dividing 1248 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 1248, which is 2. Divide 1248 by 2 to obtain the quotient (624).
1248 ÷ 2 = 624
• Step 3. Repeat step 1 with the obtained quotient (624).
624 ÷ 2 = 312
312 ÷ 2 = 156
156 ÷ 2 = 78
78 ÷ 2 = 39
39 ÷ 3 = 13
13 ÷ 13 = 1

So, the prime factorization of 1248 is, 1248 = 2 x 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 1248 as shown below:

So, the prime factorization of 1248 is, 1248 = 2 x 2 x 2 x 2 x 2 x 3 x 13.

#### 3. Find factors of 1248 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 1248 would be the two numbers which, when multiplied, give 1248 as the result.

The following table represents the calculation of factors of 1248 in pairs:

Factor Pair Pair Factorization
1 and 1248 1 x 1248 = 1248
2 and 624 2 x 624 = 1248
3 and 416 3 x 416 = 1248
4 and 312 4 x 312 = 1248
6 and 208 6 x 208 = 1248
8 and 156 8 x 156 = 1248
12 and 104 12 x 104 = 1248
13 and 96 13 x 96 = 1248
16 and 78 16 x 78 = 1248
24 and 52 24 x 52 = 1248
26 and 48 26 x 48 = 1248
32 and 39 32 x 39 = 1248

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 1248. They are called negative pair factors.

Hence, the negative pairs of 1248 would be ( -1 , -1248 ) , ( -2 , -624 ) , ( -3 , -416 ) , ( -4 , -312 ) , ( -6 , -208 ) , ( -8 , -156 ) , ( -12 , -104 ) , ( -13 , -96 ) , ( -16 , -78 ) , ( -24 , -52 ) , ( -26 , -48 ) and ( -32 , -39 ) .

#### What is the definition of factors?

In mathematics, factors are number, algebraic expressions which when multiplied together produce desired product. A factor of a number can be positive or negative.

#### Properties of factors

• Each number is a factor of itself. Eg. 1248 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 1248.
• Every number is a factor of zero (0), since 1248 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, 32, 39, 48, 52, 78, 96, 104, 156, 208, 312, 416, 624, 1248 are exact divisors of 1248.
• Factors of 1248 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 78, 96, 104, 156, 208, 312, 416, 624, 1248. Each factor divides 1248 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, 32, 39, 48, 52, 78, 96, 104, 156, 208, 312, 416, 624, 1248 are all less than or equal to 1248.

• How do you find factors of a negative number? ( eg. -1248 )?

Factors of -1248 are -1, -2, -3, -4, -6, -8, -12, -13, -16, -24, -26, -32, -39, -48, -52, -78, -96, -104, -156, -208, -312, -416, -624, -1248.

• What is the sum of all factors of 1248?

The sum of all factors of 1248 is 3528.

• What is prime factorization of 1248?

Prime factorization of 1248 is 2 x 2 x 2 x 2 x 2 x 3 x 13.

• What are the pair factors of 1248?

Pair factors of 1248 are (1,1248), (2,624), (3,416), (4,312), (6,208), (8,156), (12,104), (13,96), (16,78), (24,52), (26,48), (32,39).

• What are six multiples of 1248?

First five multiples of 1248 are 2496, 3744, 4992, 6240, 7488, 8736.

• Is 1248 a whole number?

Yes 1248 is a whole number.

• Which is the smallest prime factor of 1248?

Smallest prime factor of 1248 is 2.

• What are five multiples of 1248?

First five multiples of 1248 are 2496, 3744, 4992, 6240, 7488.

• Write all factors of 1248?

Factors of 1248 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 78, 96, 104, 156, 208, 312, 416, 624, 1248.

#### Examples of Factors

Joey wants to write all the prime factors of 1248 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 1248 are 2, 2, 2, 2, 2, 3, 13.
So in exponential form it can be written as 25 x 3 x 13.

How many factors are there for 1248?

Factors of 1248 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 78, 96, 104, 156, 208, 312, 416, 624, 1248.
So there are in total 24 factors.

Kevin has been asked to write 23 factor(s) of 1248. Can you predict the answer?

23 factor(s) of 1248 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 78, 96, 104, 156, 208, 312, 416, 624.

Sammy is puzzled while calculating the prime factors of 1248. Can you help him find them?

Factors of 1248 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 78, 96, 104, 156, 208, 312, 416, 624, 1248.
Prime factors of 1248 are 2, 2, 2, 2, 2, 3, 13

What is prime factorization of 1248?

Prime factorization of 1248 is 2 x 2 x 2 x 2 x 2 x 3 x 13 = 25 x 3 x 13.

Ariel has been assigned the task to find the product of all the prime factors of 1248. Can you help her?

Prime factors of 1248 are 2, 2, 2, 2, 2, 3, 13.
Hence, the product of prime factors of 78.

Can you help Rubel to find out the product of the even factors of 1248?

Factors of 1248 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 78, 96, 104, 156, 208, 312, 416, 624, 1248.
Even factors of 1248 are 2, 4, 6, 8, 12, 16, 24, 26, 32, 48, 52, 78, 96, 104, 156, 208, 312, 416, 624, 1248.
Hence, product of even factors of 1248 is; 2 x 4 x 6 x 8 x 12 x 16 x 24 x 26 x 32 x 48 x 52 x 78 x 96 x 104 x 156 x 208 x 312 x 416 x 624 x 1248 = 9.385249231849834e+33.