Factors of 1344 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 168, 192, 224, 336, 448, 672, and 1344

How to find factors of a number

1. Steps to find factors of 1344 using Division Method

Example: Find factors of 1344

  • Divide 1344 by 1: 1344 ÷ 1 : Remainder = 0
  • Divide 1344 by 2: 1344 ÷ 2 : Remainder = 0
  • Divide 1344 by 3: 1344 ÷ 3 : Remainder = 0
  • Divide 1344 by 4: 1344 ÷ 4 : Remainder = 0
  • Divide 1344 by 6: 1344 ÷ 6 : Remainder = 0
  • Divide 1344 by 7: 1344 ÷ 7 : Remainder = 0
  • Divide 1344 by 8: 1344 ÷ 8 : Remainder = 0
  • Divide 1344 by 12: 1344 ÷ 12 : Remainder = 0
  • Divide 1344 by 14: 1344 ÷ 14 : Remainder = 0
  • Divide 1344 by 16: 1344 ÷ 16 : Remainder = 0
  • Divide 1344 by 21: 1344 ÷ 21 : Remainder = 0
  • Divide 1344 by 24: 1344 ÷ 24 : Remainder = 0
  • Divide 1344 by 28: 1344 ÷ 28 : Remainder = 0
  • Divide 1344 by 32: 1344 ÷ 32 : Remainder = 0
  • Divide 1344 by 42: 1344 ÷ 42 : Remainder = 0
  • Divide 1344 by 48: 1344 ÷ 48 : Remainder = 0
  • Divide 1344 by 56: 1344 ÷ 56 : Remainder = 0
  • Divide 1344 by 64: 1344 ÷ 64 : Remainder = 0
  • Divide 1344 by 84: 1344 ÷ 84 : Remainder = 0
  • Divide 1344 by 96: 1344 ÷ 96 : Remainder = 0
  • Divide 1344 by 112: 1344 ÷ 112 : Remainder = 0
  • Divide 1344 by 168: 1344 ÷ 168 : Remainder = 0
  • Divide 1344 by 192: 1344 ÷ 192 : Remainder = 0
  • Divide 1344 by 224: 1344 ÷ 224 : Remainder = 0
  • Divide 1344 by 336: 1344 ÷ 336 : Remainder = 0
  • Divide 1344 by 448: 1344 ÷ 448 : Remainder = 0
  • Divide 1344 by 672: 1344 ÷ 672 : Remainder = 0
  • Divide 1344 by 1344: 1344 ÷ 1344 : Remainder = 0

Hence, Factors of 1344 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 168, 192, 224, 336, 448, 672, and 1344

2. Steps to find factors of 1344 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 1344 using the division method, follow these steps:

  • Step 1. Start dividing 1344 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 1344, which is 2. Divide 1344 by 2 to obtain the quotient (672).
    1344 ÷ 2 = 672
  • Step 3. Repeat step 1 with the obtained quotient (672).
    672 ÷ 2 = 336
    336 ÷ 2 = 168
    168 ÷ 2 = 84
    84 ÷ 2 = 42
    42 ÷ 2 = 21
    21 ÷ 3 = 7
    7 ÷ 7 = 1

So, the prime factorization of 1344 is, 1344 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 1344 as shown below:

So, the prime factorization of 1344 is, 1344 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7.

3. Find factors of 1344 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 1344 would be the two numbers which, when multiplied, give 1344 as the result.

The following table represents the calculation of factors of 1344 in pairs:

Factor Pair Pair Factorization
1 and 1344 1 x 1344 = 1344
2 and 672 2 x 672 = 1344
3 and 448 3 x 448 = 1344
4 and 336 4 x 336 = 1344
6 and 224 6 x 224 = 1344
7 and 192 7 x 192 = 1344
8 and 168 8 x 168 = 1344
12 and 112 12 x 112 = 1344
14 and 96 14 x 96 = 1344
16 and 84 16 x 84 = 1344
21 and 64 21 x 64 = 1344
24 and 56 24 x 56 = 1344
28 and 48 28 x 48 = 1344
32 and 42 32 x 42 = 1344

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 1344. They are called negative pair factors.

Hence, the negative pairs of 1344 would be ( -1 , -1344 ) , ( -2 , -672 ) , ( -3 , -448 ) , ( -4 , -336 ) , ( -6 , -224 ) , ( -7 , -192 ) , ( -8 , -168 ) , ( -12 , -112 ) , ( -14 , -96 ) , ( -16 , -84 ) , ( -21 , -64 ) , ( -24 , -56 ) , ( -28 , -48 ) and ( -32 , -42 ) .

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. 1344 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 1344.
  • Every number is a factor of zero (0), since 1344 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, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 168, 192, 224, 336, 448, 672, 1344 are exact divisors of 1344.
  • Factors of 1344 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 168, 192, 224, 336, 448, 672, 1344. Each factor divides 1344 without leaving a remainder.
  • Every factor of a number is less than or equal to the number, eg. 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 168, 192, 224, 336, 448, 672, 1344 are all less than or equal to 1344.

Frequently Asked Questions

  • What are the prime factors of 1344?

    The factors of 1344 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 168, 192, 224, 336, 448, 672, 1344.
    Prime factors of 1344 are 2, 2, 2, 2, 2, 2, 3, 7.

  • What two numbers make 1344?

    Two numbers that make 1344 are 2 and 672.

  • What is the greatest prime factors of 1344?

    The greatest prime factor of 1344 is 7.

  • What are factors of 1344?

    Factors of 1344 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 168, 192, 224, 336, 448, 672, 1344.

  • How do you find factors of a negative number? ( eg. -1344 )?

    Factors of -1344 are -1, -2, -3, -4, -6, -7, -8, -12, -14, -16, -21, -24, -28, -32, -42, -48, -56, -64, -84, -96, -112, -168, -192, -224, -336, -448, -672, -1344.

  • What are five multiples of 1344?

    First five multiples of 1344 are 2688, 4032, 5376, 6720, 8064.

  • Write some multiples of 1344?

    First five multiples of 1344 are 2688, 4032, 5376, 6720.

  • Is 1344 a perfect square?

    No 1344 is not a perfect square.

  • What two numbers make 1344?

    Two numbers that make 1344 are 2 and 672.

Examples of Factors

What is prime factorization of 1344?

Prime factorization of 1344 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 = 26 x 3 x 7.

Sammy is puzzled while calculating the prime factors of 1344. Can you help him find them?

Factors of 1344 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 168, 192, 224, 336, 448, 672, 1344.
Prime factors of 1344 are 2, 2, 2, 2, 2, 2, 3, 7

Kevin has been asked to write 27 factor(s) of 1344. Can you predict the answer?

27 factor(s) of 1344 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 168, 192, 224, 336, 448, 672.

Joey wants to write all the prime factors of 1344 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 1344 are 2, 2, 2, 2, 2, 2, 3, 7.
So in exponential form it can be written as 26 x 3 x 7.

How many factors are there for 1344?

Factors of 1344 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 168, 192, 224, 336, 448, 672, 1344.
So there are in total 28 factors.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 1344? Help her in writing all the factors.

Positive factors are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 168, 192, 224, 336, 448, 672, 1344.
Negative factors are -1, -2, -3, -4, -6, -7, -8, -12, -14, -16, -21, -24, -28, -32, -42, -48, -56, -64, -84, -96, -112, -168, -192, -224, -336, -448, -672, -1344.

Can you help Rubel to find out the product of the even factors of 1344?

Factors of 1344 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 168, 192, 224, 336, 448, 672, 1344.
Even factors of 1344 are 2, 4, 6, 8, 12, 14, 16, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 168, 192, 224, 336, 448, 672, 1344.
Hence, product of even factors of 1344 is; 2 x 4 x 6 x 8 x 12 x 14 x 16 x 24 x 28 x 32 x 42 x 48 x 56 x 64 x 84 x 96 x 112 x 168 x 192 x 224 x 336 x 448 x 672 x 1344 = 1.4228239685035093e+41.