# Factors of 4824 in pair

Factors of 4824 in pair are (1, 4824) , (2, 2412) , (3, 1608) , (4, 1206) , (6, 804) , (8, 603) , (9, 536) , (12, 402) , (18, 268) , (24, 201) , (36, 134) and (67, 72)

#### How to find factors of a number in pair

 1.   Steps to find factors of 4824 in pair 2.   What is factors of a number in pair? 3.   What are Factors? 4.   Frequently Asked Questions 5.   Examples of factors in pair

### Example: Find factors of 4824 in pair

Factor Pair Pair Factorization
1 and 4824 1 x 4824 = 4824
2 and 2412 2 x 2412 = 4824
3 and 1608 3 x 1608 = 4824
4 and 1206 4 x 1206 = 4824
6 and 804 6 x 804 = 4824
8 and 603 8 x 603 = 4824
9 and 536 9 x 536 = 4824
12 and 402 12 x 402 = 4824
18 and 268 18 x 268 = 4824
24 and 201 24 x 201 = 4824
36 and 134 36 x 134 = 4824
67 and 72 67 x 72 = 4824

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 4824. They are called negative pair factors.

Hence, the negative pairs of 4824 would be ( -1 , -4824 ) .

#### What does factor pairs of a number mean?

Factor pairs are those factors in pair that can give original number when multiplied. Every natural number is a product of atleast one factor pair. Eg- Factors of 4824 are 1 , 2 , 3 , 4 , 6 , 8 , 9 , 12 , 18 , 24 , 36 , 67 , 72 , 134 , 201 , 268 , 402 , 536 , 603 , 804 , 1206 , 1608 , 2412 , 4824. So, factors of 4824 in pair are (1,4824), (2,2412), (3,1608), (4,1206), (6,804), (8,603), (9,536), (12,402), (18,268), (24,201), (36,134), (67,72).

#### 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. 4824 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 4824.
• Every number is a factor of zero (0), since 4824 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, 18, 24, 36, 67, 72, 134, 201, 268, 402, 536, 603, 804, 1206, 1608, 2412, 4824 are exact divisors of 4824.
• Factors of 4824 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 67, 72, 134, 201, 268, 402, 536, 603, 804, 1206, 1608, 2412, 4824. Each factor divides 4824 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, 18, 24, 36, 67, 72, 134, 201, 268, 402, 536, 603, 804, 1206, 1608, 2412, 4824 are all less than or equal to 4824.

#### Steps to find Factors of 4824

• Step 1. Find all the numbers that would divide 4824 without leaving any remainder. Starting with the number 1 upto 2412 (half of 4824). The number 1 and the number itself are always factors of the given number.
4824 ÷ 1 : Remainder = 0
4824 ÷ 2 : Remainder = 0
4824 ÷ 3 : Remainder = 0
4824 ÷ 4 : Remainder = 0
4824 ÷ 6 : Remainder = 0
4824 ÷ 8 : Remainder = 0
4824 ÷ 9 : Remainder = 0
4824 ÷ 12 : Remainder = 0
4824 ÷ 18 : Remainder = 0
4824 ÷ 24 : Remainder = 0
4824 ÷ 36 : Remainder = 0
4824 ÷ 67 : Remainder = 0
4824 ÷ 72 : Remainder = 0
4824 ÷ 134 : Remainder = 0
4824 ÷ 201 : Remainder = 0
4824 ÷ 268 : Remainder = 0
4824 ÷ 402 : Remainder = 0
4824 ÷ 536 : Remainder = 0
4824 ÷ 603 : Remainder = 0
4824 ÷ 804 : Remainder = 0
4824 ÷ 1206 : Remainder = 0
4824 ÷ 1608 : Remainder = 0
4824 ÷ 2412 : Remainder = 0
4824 ÷ 4824 : Remainder = 0

Hence, Factors of 4824 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 67, 72, 134, 201, 268, 402, 536, 603, 804, 1206, 1608, 2412, and 4824

• Is 4824 a composite number?

Yes 4824 is a composite number.

• Is 4824 a prime number?

No 4824 is not a prime number.

• What is the mean of factors of 4824?

Factors of 4824 are 1 , 2 , 3 , 4 , 6 , 8 , 9 , 12 , 18 , 24 , 36 , 67 , 72 , 134 , 201 , 268 , 402 , 536 , 603 , 804 , 1206 , 1608 , 2412 , 4824. therefore mean of factors of 4824 is (1 + 2 + 3 + 4 + 6 + 8 + 9 + 12 + 18 + 24 + 36 + 67 + 72 + 134 + 201 + 268 + 402 + 536 + 603 + 804 + 1206 + 1608 + 2412 + 4824) / 24 = 552.50.

• 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 4824 but she is finding it difficult. Can you help her find out?

Factors of 4824 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 67, 72, 134, 201, 268, 402, 536, 603, 804, 1206, 1608, 2412, 4824. So, factors of 4824 in pair are (1,4824), (2,2412), (3,1608), (4,1206), (6,804), (8,603), (9,536), (12,402), (18,268), (24,201), (36,134), (67,72).

Sammy wants to write all the negative factors of 4824 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 4824 are -1, -2, -3, -4, -6, -8, -9, -12, -18, -24, -36, -67, -72, -134, -201, -268, -402, -536, -603, -804, -1206, -1608, -2412, -4824. Hence, factors of 4824 in pair are (-1,-4824), (-2,-2412), (-3,-1608), (-4,-1206), (-6,-804), (-8,-603), (-9,-536), (-12,-402), (-18,-268), (-24,-201), (-36,-134), (-67,-72).

Help Deep in writing the positive factors of 4824 in pair and negative factor of 4824 in pair.

Factors of 4824 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 67, 72, 134, 201, 268, 402, 536, 603, 804, 1206, 1608, 2412, 4824. Positive factors of 4824 in pair are (1,4824), (2,2412), (3,1608), (4,1206), (6,804), (8,603), (9,536), (12,402), (18,268), (24,201), (36,134), (67,72). Negative factors of 4824 in pair are (-1,-4824), (-2,-2412), (-3,-1608), (-4,-1206), (-6,-804), (-8,-603), (-9,-536), (-12,-402), (-18,-268), (-24,-201), (-36,-134), (-67,-72).

Find the product of all factors of 4824.

Factors of 4824 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 67, 72, 134, 201, 268, 402, 536, 603, 804, 1206, 1608, 2412, 4824. So the product of all factors of 4824 would be 1 x 2 x 3 x 4 x 6 x 8 x 9 x 12 x 18 x 24 x 36 x 67 x 72 x 134 x 201 x 268 x 402 x 536 x 603 x 804 x 1206 x 1608 x 2412 x 4824 = 1.5881356310300192e+44.

Find the product of all prime factors of 4824.

Factors of 4824 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 67, 72, 134, 201, 268, 402, 536, 603, 804, 1206, 1608, 2412, 4824. Prime factors are 2, 2, 2, 3, 3, 67. So, the product of all prime factors of 4824 would be 2 x 2 x 2 x 3 x 3 x 67 = 4824.

Can you help Sammy list the factors of 4824 and also find the factor pairs?

Factors of 4824 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 67, 72, 134, 201, 268, 402, 536, 603, 804, 1206, 1608, 2412, 4824.
Factors of 4824 in pair are (1,4824), (2,2412), (3,1608), (4,1206), (6,804), (8,603), (9,536), (12,402), (18,268), (24,201), (36,134), (67,72).

Sammy has 4824 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 4824 blocks in all possible ways to form a rectangle, we need to calculate factors of 4824 in pair. Therefore, factors of 4824 in pair are (1,4824), (2,2412), (3,1608), (4,1206), (6,804), (8,603), (9,536), (12,402), (18,268), (24,201), (36,134), (67,72)