Factors of 1176 in pair

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Factors of 1176 in pair are (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 to find factors of a number in pair

Steps to find factors of 1176 in pair

Find all the numbers that would divide 1176 without leaving any remainder. Starting with the number 1 upto 588 (half of 1176). The number 1 and the number itself are always factors of the given number.
Pair the factors so that their product is 1176, and read off the answer!

Example: Find factors of 1176 in pair

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 ) .

Introduction to factor pairs

Factor pair in mathematics is defined as all factors of a given number which when written in pair and multiplied gives the original number. Every natural number is a product of atleast one factor pair. Eg- 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, factors of 1176 in pair 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).

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.

Steps to find Factors of 1176

Step 1. Find all the numbers that would divide 1176 without leaving any remainder. Starting with the number 1 upto 588 (half of 1176). The number 1 and the number itself are always factors of the given number.

1176 ÷ 1 : Remainder = 0

1176 ÷ 2 : Remainder = 0

1176 ÷ 3 : Remainder = 0

1176 ÷ 4 : Remainder = 0

1176 ÷ 6 : Remainder = 0

1176 ÷ 7 : Remainder = 0

1176 ÷ 8 : Remainder = 0

1176 ÷ 12 : Remainder = 0

1176 ÷ 14 : Remainder = 0

1176 ÷ 21 : Remainder = 0

1176 ÷ 24 : Remainder = 0

1176 ÷ 28 : Remainder = 0

1176 ÷ 42 : Remainder = 0

1176 ÷ 49 : Remainder = 0

1176 ÷ 56 : Remainder = 0

1176 ÷ 84 : Remainder = 0

1176 ÷ 98 : Remainder = 0

1176 ÷ 147 : Remainder = 0

1176 ÷ 168 : Remainder = 0

1176 ÷ 196 : Remainder = 0

1176 ÷ 294 : Remainder = 0

1176 ÷ 392 : Remainder = 0

1176 ÷ 588 : Remainder = 0

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

Frequently Asked Questions

Is 1176 a composite number?
Yes 1176 is a composite number.
Is 1176 a prime number?
No 1176 is not a prime number.
What is the mean of 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. therefore mean of factors of 1176 is (1 + 2 + 3 + 4 + 6 + 7 + 8 + 12 + 14 + 21 + 24 + 28 + 42 + 49 + 56 + 84 + 98 + 147 + 168 + 196 + 294 + 392 + 588 + 1176) / 24 = 142.50.
What do you mean by proper divisors?
A number x is said to be the proper divisor of y if it divides y completely, given that x is smaller than y.
What do you mean by improper divisors?
An improper divisor of a number is the number itself apart from this any divisor of a given number is a proper divisor.

Examples of Factors

Ariel has been asked to write all factor pairs of 1176 but she is finding it difficult. Can you help her find out?

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, factors of 1176 in pair 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).

Sammy wants to write all the negative factors of 1176 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative 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. Hence, factors of 1176 in pair 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).

Help Deep in writing the positive factors of 1176 in pair and negative factor of 1176 in pair.

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. Positive factors of 1176 in pair 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). Negative factors of 1176 in pair 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).

Find the product of 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. So the product of all factors of 1176 would be 1 x 2 x 3 x 4 x 6 x 7 x 8 x 12 x 14 x 21 x 24 x 28 x 42 x 49 x 56 x 84 x 98 x 147 x 168 x 196 x 294 x 392 x 588 x 1176 = 6.99661313224583e+36.

Find the product of all prime 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. Prime factors are 2, 2, 2, 3, 7, 7. So, the product of all prime factors of 1176 would be 2 x 2 x 2 x 3 x 7 x 7 = 1176.

Can you help Sammy list the factors of 1176 and also find the factor pairs?

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.
Factors of 1176 in pair 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).

Sammy has 1176 blocks and he wants to arrange them in all possible ways to form a rectangle but he doesn't know the technique for doing that, help Sammy in arrangements.

To arrange 1176 blocks in all possible ways to form a rectangle, we need to calculate factors of 1176 in pair. Therefore, factors of 1176 in pair 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)