Factors of 576 in pair are (1, 576) , (2, 288) , (3, 192) , (4, 144) , (6, 96) , (8, 72) , (9, 64) , (12, 48) , (16, 36) , (18, 32) and (24, 24)

How to find factors of a number in pair

Steps to find factors of 576 in pair

Example: Find factors of 576 in pair

Factor Pair Pair Factorization
1 and 576 1 x 576 = 576
2 and 288 2 x 288 = 576
3 and 192 3 x 192 = 576
4 and 144 4 x 144 = 576
6 and 96 6 x 96 = 576
8 and 72 8 x 72 = 576
9 and 64 9 x 64 = 576
12 and 48 12 x 48 = 576
16 and 36 16 x 36 = 576
18 and 32 18 x 32 = 576
24 and 24 24 x 24 = 576

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 576. They are called negative pair factors.

Hence, the negative pairs of 576 would be ( -1 , -576 ) .

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 576 are 1 , 2 , 3 , 4 , 6 , 8 , 9 , 12 , 16 , 18 , 24 , 32 , 36 , 48 , 64 , 72 , 96 , 144 , 192 , 288 , 576. So, factors of 576 in pair are (1,576), (2,288), (3,192), (4,144), (6,96), (8,72), (9,64), (12,48), (16,36), (18,32), (24,24).

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. 576 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 576.
  • Every number is a factor of zero (0), since 576 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, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576 are exact divisors of 576.
  • Factors of 576 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576. Each factor divides 576 without leaving a remainder.
  • Every factor of a number is less than or equal to the number, eg. 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576 are all less than or equal to 576.

Steps to find Factors of 576

  • Step 1. Find all the numbers that would divide 576 without leaving any remainder. Starting with the number 1 upto 288 (half of 576). The number 1 and the number itself are always factors of the given number.
    576 ÷ 1 : Remainder = 0
    576 ÷ 2 : Remainder = 0
    576 ÷ 3 : Remainder = 0
    576 ÷ 4 : Remainder = 0
    576 ÷ 6 : Remainder = 0
    576 ÷ 8 : Remainder = 0
    576 ÷ 9 : Remainder = 0
    576 ÷ 12 : Remainder = 0
    576 ÷ 16 : Remainder = 0
    576 ÷ 18 : Remainder = 0
    576 ÷ 24 : Remainder = 0
    576 ÷ 32 : Remainder = 0
    576 ÷ 36 : Remainder = 0
    576 ÷ 48 : Remainder = 0
    576 ÷ 64 : Remainder = 0
    576 ÷ 72 : Remainder = 0
    576 ÷ 96 : Remainder = 0
    576 ÷ 144 : Remainder = 0
    576 ÷ 192 : Remainder = 0
    576 ÷ 288 : Remainder = 0
    576 ÷ 576 : Remainder = 0

Hence, Factors of 576 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, and 576

Frequently Asked Questions

  • Is 576 a composite number?

    Yes 576 is a composite number.

  • Is 576 a prime number?

    No 576 is not a prime number.

  • What is the mean of factors of 576?

    Factors of 576 are 1 , 2 , 3 , 4 , 6 , 8 , 9 , 12 , 16 , 18 , 24 , 32 , 36 , 48 , 64 , 72 , 96 , 144 , 192 , 288 , 576. therefore mean of factors of 576 is (1 + 2 + 3 + 4 + 6 + 8 + 9 + 12 + 16 + 18 + 24 + 32 + 36 + 48 + 64 + 72 + 96 + 144 + 192 + 288 + 576) / 21 = 78.62.

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

Factors of 576 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576. So, factors of 576 in pair are (1,576), (2,288), (3,192), (4,144), (6,96), (8,72), (9,64), (12,48), (16,36), (18,32), (24,24).

Sammy wants to write all the negative factors of 576 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 576 are -1, -2, -3, -4, -6, -8, -9, -12, -16, -18, -24, -32, -36, -48, -64, -72, -96, -144, -192, -288, -576. Hence, factors of 576 in pair are (-1,-576), (-2,-288), (-3,-192), (-4,-144), (-6,-96), (-8,-72), (-9,-64), (-12,-48), (-16,-36), (-18,-32), (-24,-24).

Help Deep in writing the positive factors of 576 in pair and negative factor of 576 in pair.

Factors of 576 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576. Positive factors of 576 in pair are (1,576), (2,288), (3,192), (4,144), (6,96), (8,72), (9,64), (12,48), (16,36), (18,32), (24,24). Negative factors of 576 in pair are (-1,-576), (-2,-288), (-3,-192), (-4,-144), (-6,-96), (-8,-72), (-9,-64), (-12,-48), (-16,-36), (-18,-32), (-24,-24).

Find the product of all factors of 576.

Factors of 576 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576. So the product of all factors of 576 would be 1 x 2 x 3 x 4 x 6 x 8 x 9 x 12 x 16 x 18 x 24 x 32 x 36 x 48 x 64 x 72 x 96 x 144 x 192 x 288 x 576 = 9.647972922817449e+28.

Find the product of all prime factors of 576.

Factors of 576 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576. Prime factors are 2, 2, 2, 2, 2, 2, 3, 3. So, the product of all prime factors of 576 would be 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 = 576.

Can you help Sammy list the factors of 576 and also find the factor pairs?

Factors of 576 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576.
Factors of 576 in pair are (1,576), (2,288), (3,192), (4,144), (6,96), (8,72), (9,64), (12,48), (16,36), (18,32), (24,24).

Sammy has 576 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 576 blocks in all possible ways to form a rectangle, we need to calculate factors of 576 in pair. Therefore, factors of 576 in pair are (1,576), (2,288), (3,192), (4,144), (6,96), (8,72), (9,64), (12,48), (16,36), (18,32), (24,24)