Factors of 2704 in pair

Steps to find factors of 2704 in pair

Find all the numbers that would divide 2704 without leaving any remainder. Starting with the number 1 upto 1352 (half of 2704). The number 1 and the number itself are always factors of the given number.
Pair the factors so that their product is 2704, and read off the answer!

Example: Find factors of 2704 in pair

Factor Pair	Pair Factorization
1 and 2704	1 x 2704 = 2704
2 and 1352	2 x 1352 = 2704
4 and 676	4 x 676 = 2704
8 and 338	8 x 338 = 2704
13 and 208	13 x 208 = 2704
16 and 169	16 x 169 = 2704
26 and 104	26 x 104 = 2704
52 and 52	52 x 52 = 2704

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 2704. They are called negative pair factors.

Hence, the negative pairs of 2704 would be ( -1 , -2704 ) .

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 2704 are 1 , 2 , 4 , 8 , 13 , 16 , 26 , 52 , 104 , 169 , 208 , 338 , 676 , 1352 , 2704. So, factors of 2704 in pair are (1,2704), (2,1352), (4,676), (8,338), (13,208), (16,169), (26,104), (52,52).

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. 2704 is a factor of itself.
1 is a factor of every number. Eg. 1 is a factor of 2704.
Every number is a factor of zero (0), since 2704 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, 4, 8, 13, 16, 26, 52, 104, 169, 208, 338, 676, 1352, 2704 are exact divisors of 2704.
Factors of 2704 are 1, 2, 4, 8, 13, 16, 26, 52, 104, 169, 208, 338, 676, 1352, 2704. Each factor divides 2704 without leaving a remainder.
Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 8, 13, 16, 26, 52, 104, 169, 208, 338, 676, 1352, 2704 are all less than or equal to 2704.

Steps to find Factors of 2704

Step 1. Find all the numbers that would divide 2704 without leaving any remainder. Starting with the number 1 upto 1352 (half of 2704). The number 1 and the number itself are always factors of the given number.

2704 ÷ 1 : Remainder = 0

2704 ÷ 2 : Remainder = 0

2704 ÷ 4 : Remainder = 0

2704 ÷ 8 : Remainder = 0

2704 ÷ 13 : Remainder = 0

2704 ÷ 16 : Remainder = 0

2704 ÷ 26 : Remainder = 0

2704 ÷ 52 : Remainder = 0

2704 ÷ 104 : Remainder = 0

2704 ÷ 169 : Remainder = 0

2704 ÷ 208 : Remainder = 0

2704 ÷ 338 : Remainder = 0

2704 ÷ 676 : Remainder = 0

2704 ÷ 1352 : Remainder = 0

2704 ÷ 2704 : Remainder = 0

Hence, Factors of 2704 are 1, 2, 4, 8, 13, 16, 26, 52, 104, 169, 208, 338, 676, 1352, and 2704

Frequently Asked Questions

Is 2704 a composite number?
Yes 2704 is a composite number.
Is 2704 a prime number?
No 2704 is not a prime number.
Write five multiples of 2704.
Five multiples of 2704 are 5408, 8112, 10816, 13520, 16224.
Write all odd factors of 2704?
The factors of 2704 are 1, 2, 4, 8, 13, 16, 26, 52, 104, 169, 208, 338, 676, 1352, 2704.
Odd factors of 2704 are 1 , 13 , 169.
What is the mean of all prime factors of 2704?
Factors of 2704 are 1 , 2 , 4 , 8 , 13 , 16 , 26 , 52 , 104 , 169 , 208 , 338 , 676 , 1352 , 2704. Prime factors of 2704 are 2 , 2 , 2 , 2 , 13 , 13. Therefore mean of prime factors of 2704 is (2 + 2 + 2 + 2 + 13 + 13) / 6 = 5.67.

Examples of Factors

Ariel has been asked to write all factor pairs of 2704 but she is finding it difficult. Can you help her find out?

Factors of 2704 are 1, 2, 4, 8, 13, 16, 26, 52, 104, 169, 208, 338, 676, 1352, 2704. So, factors of 2704 in pair are (1,2704), (2,1352), (4,676), (8,338), (13,208), (16,169), (26,104), (52,52).

Sammy wants to write all the negative factors of 2704 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 2704 are -1, -2, -4, -8, -13, -16, -26, -52, -104, -169, -208, -338, -676, -1352, -2704. Hence, factors of 2704 in pair are (-1,-2704), (-2,-1352), (-4,-676), (-8,-338), (-13,-208), (-16,-169), (-26,-104), (-52,-52).

Help Deep in writing the positive factors of 2704 in pair and negative factor of 2704 in pair.

Factors of 2704 are 1, 2, 4, 8, 13, 16, 26, 52, 104, 169, 208, 338, 676, 1352, 2704. Positive factors of 2704 in pair are (1,2704), (2,1352), (4,676), (8,338), (13,208), (16,169), (26,104), (52,52). Negative factors of 2704 in pair are (-1,-2704), (-2,-1352), (-4,-676), (-8,-338), (-13,-208), (-16,-169), (-26,-104), (-52,-52).

Find the product of all factors of 2704.

Factors of 2704 are 1, 2, 4, 8, 13, 16, 26, 52, 104, 169, 208, 338, 676, 1352, 2704. So the product of all factors of 2704 would be 1 x 2 x 4 x 8 x 13 x 16 x 26 x 52 x 104 x 169 x 208 x 338 x 676 x 1352 x 2704 = 5.496043412801867e+25.

Find the product of all prime factors of 2704.

Factors of 2704 are 1, 2, 4, 8, 13, 16, 26, 52, 104, 169, 208, 338, 676, 1352, 2704. Prime factors are 2, 2, 2, 2, 13, 13. So, the product of all prime factors of 2704 would be 2 x 2 x 2 x 2 x 13 x 13 = 2704.

Can you help Sammy list the factors of 2704 and also find the factor pairs?

Factors of 2704 are 1, 2, 4, 8, 13, 16, 26, 52, 104, 169, 208, 338, 676, 1352, 2704.
Factors of 2704 in pair are (1,2704), (2,1352), (4,676), (8,338), (13,208), (16,169), (26,104), (52,52).

Sammy has 2704 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 2704 blocks in all possible ways to form a rectangle, we need to calculate factors of 2704 in pair. Therefore, factors of 2704 in pair are (1,2704), (2,1352), (4,676), (8,338), (13,208), (16,169), (26,104), (52,52)

How to find factors of a number in pair