1. Steps to find factors of 1176 using Division Method

Example: Find factors of 1176

  • Divide 1176 by 1: 1176 ÷ 1 : Remainder = 0
  • Divide 1176 by 2: 1176 ÷ 2 : Remainder = 0
  • Divide 1176 by 3: 1176 ÷ 3 : Remainder = 0
  • Divide 1176 by 4: 1176 ÷ 4 : Remainder = 0
  • Divide 1176 by 6: 1176 ÷ 6 : Remainder = 0
  • Divide 1176 by 7: 1176 ÷ 7 : Remainder = 0
  • Divide 1176 by 8: 1176 ÷ 8 : Remainder = 0
  • Divide 1176 by 12: 1176 ÷ 12 : Remainder = 0
  • Divide 1176 by 14: 1176 ÷ 14 : Remainder = 0
  • Divide 1176 by 21: 1176 ÷ 21 : Remainder = 0
  • Divide 1176 by 24: 1176 ÷ 24 : Remainder = 0
  • Divide 1176 by 28: 1176 ÷ 28 : Remainder = 0
  • Divide 1176 by 42: 1176 ÷ 42 : Remainder = 0
  • Divide 1176 by 49: 1176 ÷ 49 : Remainder = 0
  • Divide 1176 by 56: 1176 ÷ 56 : Remainder = 0
  • Divide 1176 by 84: 1176 ÷ 84 : Remainder = 0
  • Divide 1176 by 98: 1176 ÷ 98 : Remainder = 0
  • Divide 1176 by 147: 1176 ÷ 147 : Remainder = 0
  • Divide 1176 by 168: 1176 ÷ 168 : Remainder = 0
  • Divide 1176 by 196: 1176 ÷ 196 : Remainder = 0
  • Divide 1176 by 294: 1176 ÷ 294 : Remainder = 0
  • Divide 1176 by 392: 1176 ÷ 392 : Remainder = 0
  • Divide 1176 by 588: 1176 ÷ 588 : Remainder = 0
  • Divide 1176 by 1176: 1176 ÷ 1176 : Remainder = 0

Hence, Factors of 1176 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 49, 56, 84, 98, 147, 168, 196, 294, 392, 588, and 1176

2. Steps to find factors of 1176 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 1176 using the division method, follow these steps:

  • Step 1. Start dividing 1176 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 1176, which is 2. Divide 1176 by 2 to obtain the quotient (588).
    1176 ÷ 2 = 588
  • Step 3. Repeat step 1 with the obtained quotient (588).
    588 ÷ 2 = 294
    294 ÷ 2 = 147
    147 ÷ 3 = 49
    49 ÷ 7 = 7
    7 ÷ 7 = 1

So, the prime factorization of 1176 is, 1176 = 2 x 2 x 2 x 3 x 7 x 7.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 1176 as shown below:

So, the prime factorization of 1176 is, 1176 = 2 x 2 x 2 x 3 x 7 x 7.

3. Find factors of 1176 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 1176 would be the two numbers which, when multiplied, give 1176 as the result.

The following table represents the calculation of factors of 1176 in pairs:

Factor Pair Pair Factorization
1 and 1176 1 x 1176 = 1176
2 and 588 2 x 588 = 1176
3 and 392 3 x 392 = 1176
4 and 294 4 x 294 = 1176
6 and 196 6 x 196 = 1176
7 and 168 7 x 168 = 1176
8 and 147 8 x 147 = 1176
12 and 98 12 x 98 = 1176
14 and 84 14 x 84 = 1176
21 and 56 21 x 56 = 1176
24 and 49 24 x 49 = 1176
28 and 42 28 x 42 = 1176

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 1176. They are called negative pair factors.

Hence, the negative pairs of 1176 would be ( -1 , -1176 ) , ( -2 , -588 ) , ( -3 , -392 ) , ( -4 , -294 ) , ( -6 , -196 ) , ( -7 , -168 ) , ( -8 , -147 ) , ( -12 , -98 ) , ( -14 , -84 ) , ( -21 , -56 ) , ( -24 , -49 ) and ( -28 , -42 ) .

How can we define factors?

In mathematics a factor is a number which divides into another without leaving any remainder. Or we can say, any two numbers that multiply to give a product are both factors of that product. It can be both positive or negative.

Properties of factors

  • Each number is a factor of itself. Eg. 1176 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 1176.
  • Every number is a factor of zero (0), since 1176 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, 21, 24, 28, 42, 49, 56, 84, 98, 147, 168, 196, 294, 392, 588, 1176 are exact divisors of 1176.
  • Factors of 1176 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 49, 56, 84, 98, 147, 168, 196, 294, 392, 588, 1176. Each factor divides 1176 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, 21, 24, 28, 42, 49, 56, 84, 98, 147, 168, 196, 294, 392, 588, 1176 are all less than or equal to 1176.

Frequently Asked Questions

  • How do you find factors of a negative number? ( eg. -1176 )?

    Factors of -1176 are -1, -2, -3, -4, -6, -7, -8, -12, -14, -21, -24, -28, -42, -49, -56, -84, -98, -147, -168, -196, -294, -392, -588, -1176.

  • What is the sum of all factors of 1176?

    The sum of all factors of 1176 is 3420.

  • What is prime factorization of 1176?

    Prime factorization of 1176 is 2 x 2 x 2 x 3 x 7 x 7.

  • What are the pair factors of 1176?

    Pair factors of 1176 are (1,1176), (2,588), (3,392), (4,294), (6,196), (7,168), (8,147), (12,98), (14,84), (21,56), (24,49), (28,42).

  • What are six multiples of 1176?

    First five multiples of 1176 are 2352, 3528, 4704, 5880, 7056, 8232.

  • Is 1176 a whole number?

    Yes 1176 is a whole number.

  • Which is the smallest prime factor of 1176?

    Smallest prime factor of 1176 is 2.

  • What are five multiples of 1176?

    First five multiples of 1176 are 2352, 3528, 4704, 5880, 7056.

  • Write all factors of 1176?

    Factors of 1176 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 49, 56, 84, 98, 147, 168, 196, 294, 392, 588, 1176.

Examples of Factors

Joey wants to write all the prime factors of 1176 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 1176 are 2, 2, 2, 3, 7, 7.
So in exponential form it can be written as 23 x 3 x 72.

How many factors are there for 1176?

Factors of 1176 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 49, 56, 84, 98, 147, 168, 196, 294, 392, 588, 1176.
So there are in total 24 factors.

Kevin has been asked to write 23 factor(s) of 1176. Can you predict the answer?

23 factor(s) of 1176 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 49, 56, 84, 98, 147, 168, 196, 294, 392, 588.

Sammy is puzzled while calculating the prime factors of 1176. Can you help him find them?

Factors of 1176 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 49, 56, 84, 98, 147, 168, 196, 294, 392, 588, 1176.
Prime factors of 1176 are 2, 2, 2, 3, 7, 7

What is prime factorization of 1176?

Prime factorization of 1176 is 2 x 2 x 2 x 3 x 7 x 7 = 23 x 3 x 72.

Ariel has been assigned the task to find the product of all the prime factors of 1176. Can you help her?

Prime factors of 1176 are 2, 2, 2, 3, 7, 7.
Hence, the product of prime factors of 42.

Can you help Rubel to find out the product of the even factors of 1176?

Factors of 1176 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 49, 56, 84, 98, 147, 168, 196, 294, 392, 588, 1176.
Even factors of 1176 are 2, 4, 6, 8, 12, 14, 24, 28, 42, 56, 84, 98, 168, 196, 294, 392, 588, 1176.
Hence, product of even factors of 1176 is; 2 x 4 x 6 x 8 x 12 x 14 x 24 x 28 x 42 x 56 x 84 x 98 x 168 x 196 x 294 x 392 x 588 x 1176 = 2.2026011246403158e+30.