Factors of 336 in pair are (1, 336) , (2, 168) , (3, 112) , (4, 84) , (6, 56) , (7, 48) , (8, 42) , (12, 28) , (14, 24) and (16, 21)

How to find factors of a number in pair

Steps to find factors of 336 in pair

Example: Find factors of 336 in pair

Factor Pair Pair Factorization
1 and 336 1 x 336 = 336
2 and 168 2 x 168 = 336
3 and 112 3 x 112 = 336
4 and 84 4 x 84 = 336
6 and 56 6 x 56 = 336
7 and 48 7 x 48 = 336
8 and 42 8 x 42 = 336
12 and 28 12 x 28 = 336
14 and 24 14 x 24 = 336
16 and 21 16 x 21 = 336

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 336. They are called negative pair factors.

Hence, the negative pairs of 336 would be ( -1 , -336 ) .

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 336 are 1 , 2 , 3 , 4 , 6 , 7 , 8 , 12 , 14 , 16 , 21 , 24 , 28 , 42 , 48 , 56 , 84 , 112 , 168 , 336. So, factors of 336 in pair are (1,336), (2,168), (3,112), (4,84), (6,56), (7,48), (8,42), (12,28), (14,24), (16,21).

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. 336 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 336.
  • Every number is a factor of zero (0), since 336 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, 42, 48, 56, 84, 112, 168, 336 are exact divisors of 336.
  • Factors of 336 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336. Each factor divides 336 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, 42, 48, 56, 84, 112, 168, 336 are all less than or equal to 336.

Steps to find Factors of 336

  • Step 1. Find all the numbers that would divide 336 without leaving any remainder. Starting with the number 1 upto 168 (half of 336). The number 1 and the number itself are always factors of the given number.
    336 ÷ 1 : Remainder = 0
    336 ÷ 2 : Remainder = 0
    336 ÷ 3 : Remainder = 0
    336 ÷ 4 : Remainder = 0
    336 ÷ 6 : Remainder = 0
    336 ÷ 7 : Remainder = 0
    336 ÷ 8 : Remainder = 0
    336 ÷ 12 : Remainder = 0
    336 ÷ 14 : Remainder = 0
    336 ÷ 16 : Remainder = 0
    336 ÷ 21 : Remainder = 0
    336 ÷ 24 : Remainder = 0
    336 ÷ 28 : Remainder = 0
    336 ÷ 42 : Remainder = 0
    336 ÷ 48 : Remainder = 0
    336 ÷ 56 : Remainder = 0
    336 ÷ 84 : Remainder = 0
    336 ÷ 112 : Remainder = 0
    336 ÷ 168 : Remainder = 0
    336 ÷ 336 : Remainder = 0

Hence, Factors of 336 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, and 336

Frequently Asked Questions

  • Is 336 a composite number?

    Yes 336 is a composite number.

  • Is 336 a prime number?

    No 336 is not a prime number.

  • What is the mean of factors of 336?

    Factors of 336 are 1 , 2 , 3 , 4 , 6 , 7 , 8 , 12 , 14 , 16 , 21 , 24 , 28 , 42 , 48 , 56 , 84 , 112 , 168 , 336. therefore mean of factors of 336 is (1 + 2 + 3 + 4 + 6 + 7 + 8 + 12 + 14 + 16 + 21 + 24 + 28 + 42 + 48 + 56 + 84 + 112 + 168 + 336) / 20 = 49.60.

  • 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 336 but she is finding it difficult. Can you help her find out?

Factors of 336 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336. So, factors of 336 in pair are (1,336), (2,168), (3,112), (4,84), (6,56), (7,48), (8,42), (12,28), (14,24), (16,21).

Sammy wants to write all the negative factors of 336 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 336 are -1, -2, -3, -4, -6, -7, -8, -12, -14, -16, -21, -24, -28, -42, -48, -56, -84, -112, -168, -336. Hence, factors of 336 in pair are (-1,-336), (-2,-168), (-3,-112), (-4,-84), (-6,-56), (-7,-48), (-8,-42), (-12,-28), (-14,-24), (-16,-21).

Help Deep in writing the positive factors of 336 in pair and negative factor of 336 in pair.

Factors of 336 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336. Positive factors of 336 in pair are (1,336), (2,168), (3,112), (4,84), (6,56), (7,48), (8,42), (12,28), (14,24), (16,21). Negative factors of 336 in pair are (-1,-336), (-2,-168), (-3,-112), (-4,-84), (-6,-56), (-7,-48), (-8,-42), (-12,-28), (-14,-24), (-16,-21).

Find the product of all factors of 336.

Factors of 336 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336. So the product of all factors of 336 would be 1 x 2 x 3 x 4 x 6 x 7 x 8 x 12 x 14 x 16 x 21 x 24 x 28 x 42 x 48 x 56 x 84 x 112 x 168 x 336 = 1.833972308545172e+25.

Find the product of all prime factors of 336.

Factors of 336 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336. Prime factors are 2, 2, 2, 2, 3, 7. So, the product of all prime factors of 336 would be 2 x 2 x 2 x 2 x 3 x 7 = 336.

Can you help Sammy list the factors of 336 and also find the factor pairs?

Factors of 336 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336.
Factors of 336 in pair are (1,336), (2,168), (3,112), (4,84), (6,56), (7,48), (8,42), (12,28), (14,24), (16,21).

Sammy has 336 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 336 blocks in all possible ways to form a rectangle, we need to calculate factors of 336 in pair. Therefore, factors of 336 in pair are (1,336), (2,168), (3,112), (4,84), (6,56), (7,48), (8,42), (12,28), (14,24), (16,21)