Factors of 1456 in pair are (1, 1456) , (2, 728) , (4, 364) , (7, 208) , (8, 182) , (13, 112) , (14, 104) , (16, 91) , (26, 56) and (28, 52)

How to find factors of a number in pair

Steps to find factors of 1456 in pair

Example: Find factors of 1456 in pair

Factor Pair Pair Factorization
1 and 1456 1 x 1456 = 1456
2 and 728 2 x 728 = 1456
4 and 364 4 x 364 = 1456
7 and 208 7 x 208 = 1456
8 and 182 8 x 182 = 1456
13 and 112 13 x 112 = 1456
14 and 104 14 x 104 = 1456
16 and 91 16 x 91 = 1456
26 and 56 26 x 56 = 1456
28 and 52 28 x 52 = 1456

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 1456. They are called negative pair factors.

Hence, the negative pairs of 1456 would be ( -1 , -1456 ) .

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 1456 are 1 , 2 , 4 , 7 , 8 , 13 , 14 , 16 , 26 , 28 , 52 , 56 , 91 , 104 , 112 , 182 , 208 , 364 , 728 , 1456. So, factors of 1456 in pair are (1,1456), (2,728), (4,364), (7,208), (8,182), (13,112), (14,104), (16,91), (26,56), (28,52).

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. 1456 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 1456.
  • Every number is a factor of zero (0), since 1456 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, 7, 8, 13, 14, 16, 26, 28, 52, 56, 91, 104, 112, 182, 208, 364, 728, 1456 are exact divisors of 1456.
  • Factors of 1456 are 1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 52, 56, 91, 104, 112, 182, 208, 364, 728, 1456. Each factor divides 1456 without leaving a remainder.
  • Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 52, 56, 91, 104, 112, 182, 208, 364, 728, 1456 are all less than or equal to 1456.

Steps to find Factors of 1456

  • Step 1. Find all the numbers that would divide 1456 without leaving any remainder. Starting with the number 1 upto 728 (half of 1456). The number 1 and the number itself are always factors of the given number.
    1456 ÷ 1 : Remainder = 0
    1456 ÷ 2 : Remainder = 0
    1456 ÷ 4 : Remainder = 0
    1456 ÷ 7 : Remainder = 0
    1456 ÷ 8 : Remainder = 0
    1456 ÷ 13 : Remainder = 0
    1456 ÷ 14 : Remainder = 0
    1456 ÷ 16 : Remainder = 0
    1456 ÷ 26 : Remainder = 0
    1456 ÷ 28 : Remainder = 0
    1456 ÷ 52 : Remainder = 0
    1456 ÷ 56 : Remainder = 0
    1456 ÷ 91 : Remainder = 0
    1456 ÷ 104 : Remainder = 0
    1456 ÷ 112 : Remainder = 0
    1456 ÷ 182 : Remainder = 0
    1456 ÷ 208 : Remainder = 0
    1456 ÷ 364 : Remainder = 0
    1456 ÷ 728 : Remainder = 0
    1456 ÷ 1456 : Remainder = 0

Hence, Factors of 1456 are 1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 52, 56, 91, 104, 112, 182, 208, 364, 728, and 1456

Frequently Asked Questions

  • Is 1456 a composite number?

    Yes 1456 is a composite number.

  • Is 1456 a prime number?

    No 1456 is not a prime number.

  • Write five multiples of 1456.

    Five multiples of 1456 are 2912, 4368, 5824, 7280, 8736.

  • Write all odd factors of 1456?

    The factors of 1456 are 1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 52, 56, 91, 104, 112, 182, 208, 364, 728, 1456.
    Odd factors of 1456 are 1 , 7 , 13 , 91.

  • What is the mean of all prime factors of 1456?

    Factors of 1456 are 1 , 2 , 4 , 7 , 8 , 13 , 14 , 16 , 26 , 28 , 52 , 56 , 91 , 104 , 112 , 182 , 208 , 364 , 728 , 1456. Prime factors of 1456 are 2 , 2 , 2 , 2 , 7 , 13. Therefore mean of prime factors of 1456 is (2 + 2 + 2 + 2 + 7 + 13) / 6 = 4.67.

Examples of Factors

Ariel has been asked to write all factor pairs of 1456 but she is finding it difficult. Can you help her find out?

Factors of 1456 are 1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 52, 56, 91, 104, 112, 182, 208, 364, 728, 1456. So, factors of 1456 in pair are (1,1456), (2,728), (4,364), (7,208), (8,182), (13,112), (14,104), (16,91), (26,56), (28,52).

Sammy wants to write all the negative factors of 1456 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 1456 are -1, -2, -4, -7, -8, -13, -14, -16, -26, -28, -52, -56, -91, -104, -112, -182, -208, -364, -728, -1456. Hence, factors of 1456 in pair are (-1,-1456), (-2,-728), (-4,-364), (-7,-208), (-8,-182), (-13,-112), (-14,-104), (-16,-91), (-26,-56), (-28,-52).

Help Deep in writing the positive factors of 1456 in pair and negative factor of 1456 in pair.

Factors of 1456 are 1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 52, 56, 91, 104, 112, 182, 208, 364, 728, 1456. Positive factors of 1456 in pair are (1,1456), (2,728), (4,364), (7,208), (8,182), (13,112), (14,104), (16,91), (26,56), (28,52). Negative factors of 1456 in pair are (-1,-1456), (-2,-728), (-4,-364), (-7,-208), (-8,-182), (-13,-112), (-14,-104), (-16,-91), (-26,-56), (-28,-52).

Find the product of all factors of 1456.

Factors of 1456 are 1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 52, 56, 91, 104, 112, 182, 208, 364, 728, 1456. So the product of all factors of 1456 would be 1 x 2 x 4 x 7 x 8 x 13 x 14 x 16 x 26 x 28 x 52 x 56 x 91 x 104 x 112 x 182 x 208 x 364 x 728 x 1456 = 4.281675499142514e+31.

Find the product of all prime factors of 1456.

Factors of 1456 are 1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 52, 56, 91, 104, 112, 182, 208, 364, 728, 1456. Prime factors are 2, 2, 2, 2, 7, 13. So, the product of all prime factors of 1456 would be 2 x 2 x 2 x 2 x 7 x 13 = 1456.

Can you help Sammy list the factors of 1456 and also find the factor pairs?

Factors of 1456 are 1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 52, 56, 91, 104, 112, 182, 208, 364, 728, 1456.
Factors of 1456 in pair are (1,1456), (2,728), (4,364), (7,208), (8,182), (13,112), (14,104), (16,91), (26,56), (28,52).

Sammy has 1456 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 1456 blocks in all possible ways to form a rectangle, we need to calculate factors of 1456 in pair. Therefore, factors of 1456 in pair are (1,1456), (2,728), (4,364), (7,208), (8,182), (13,112), (14,104), (16,91), (26,56), (28,52)