Factors of 448 in pair are (1, 448) , (2, 224) , (4, 112) , (7, 64) , (8, 56) , (14, 32) and (16, 28)

How to find factors of a number in pair

Steps to find factors of 448 in pair

Example: Find factors of 448 in pair

Factor Pair Pair Factorization
1 and 448 1 x 448 = 448
2 and 224 2 x 224 = 448
4 and 112 4 x 112 = 448
7 and 64 7 x 64 = 448
8 and 56 8 x 56 = 448
14 and 32 14 x 32 = 448
16 and 28 16 x 28 = 448

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 448. They are called negative pair factors.

Hence, the negative pairs of 448 would be ( -1 , -448 ) .

What does factor pairs in mathematics mean?

In mathematics, factor pair of a number are all those possible combination which when multiplied together give the original number in return. Every natural number is a product of atleast one factor pair. Eg- Factors of 448 are 1 , 2 , 4 , 7 , 8 , 14 , 16 , 28 , 32 , 56 , 64 , 112 , 224 , 448. So, factors of 448 in pair are (1,448), (2,224), (4,112), (7,64), (8,56), (14,32), (16,28).

What is the definition of factors?

In mathematics, factors are number, algebraic expressions which when multiplied together produce desired product. A factor of a number can be positive or negative.

Properties of Factors

  • Each number is a factor of itself. Eg. 448 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 448.
  • Every number is a factor of zero (0), since 448 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, 14, 16, 28, 32, 56, 64, 112, 224, 448 are exact divisors of 448.
  • Factors of 448 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448. Each factor divides 448 without leaving a remainder.
  • Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448 are all less than or equal to 448.

Steps to find Factors of 448

  • Step 1. Find all the numbers that would divide 448 without leaving any remainder. Starting with the number 1 upto 224 (half of 448). The number 1 and the number itself are always factors of the given number.
    448 ÷ 1 : Remainder = 0
    448 ÷ 2 : Remainder = 0
    448 ÷ 4 : Remainder = 0
    448 ÷ 7 : Remainder = 0
    448 ÷ 8 : Remainder = 0
    448 ÷ 14 : Remainder = 0
    448 ÷ 16 : Remainder = 0
    448 ÷ 28 : Remainder = 0
    448 ÷ 32 : Remainder = 0
    448 ÷ 56 : Remainder = 0
    448 ÷ 64 : Remainder = 0
    448 ÷ 112 : Remainder = 0
    448 ÷ 224 : Remainder = 0
    448 ÷ 448 : Remainder = 0

Hence, Factors of 448 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, and 448

Frequently Asked Questions

  • Is 448 a composite number?

    Yes 448 is a composite number.

  • Is 448 a prime number?

    No 448 is not a prime number.

  • Write five multiples of 448.

    Five multiples of 448 are 896, 1344, 1792, 2240, 2688.

  • Write all odd factors of 448?

    The factors of 448 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448.
    Odd factors of 448 are 1 , 7.

  • What is the mean of all prime factors of 448?

    Factors of 448 are 1 , 2 , 4 , 7 , 8 , 14 , 16 , 28 , 32 , 56 , 64 , 112 , 224 , 448. Prime factors of 448 are 2 , 2 , 2 , 2 , 2 , 2 , 7. Therefore mean of prime factors of 448 is (2 + 2 + 2 + 2 + 2 + 2 + 7) / 7 = 2.71.

Examples of Factors

Ariel has been asked to write all factor pairs of 448 but she is finding it difficult. Can you help her find out?

Factors of 448 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448. So, factors of 448 in pair are (1,448), (2,224), (4,112), (7,64), (8,56), (14,32), (16,28).

Sammy wants to write all the negative factors of 448 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 448 are -1, -2, -4, -7, -8, -14, -16, -28, -32, -56, -64, -112, -224, -448. Hence, factors of 448 in pair are (-1,-448), (-2,-224), (-4,-112), (-7,-64), (-8,-56), (-14,-32), (-16,-28).

Help Deep in writing the positive factors of 448 in pair and negative factor of 448 in pair.

Factors of 448 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448. Positive factors of 448 in pair are (1,448), (2,224), (4,112), (7,64), (8,56), (14,32), (16,28). Negative factors of 448 in pair are (-1,-448), (-2,-224), (-4,-112), (-7,-64), (-8,-56), (-14,-32), (-16,-28).

Find the product of all factors of 448.

Factors of 448 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448. So the product of all factors of 448 would be 1 x 2 x 4 x 7 x 8 x 14 x 16 x 28 x 32 x 56 x 64 x 112 x 224 x 448 = 3621980417894121500.

Find the product of all prime factors of 448.

Factors of 448 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448. Prime factors are 2, 2, 2, 2, 2, 2, 7. So, the product of all prime factors of 448 would be 2 x 2 x 2 x 2 x 2 x 2 x 7 = 448.

Can you help Sammy list the factors of 448 and also find the factor pairs?

Factors of 448 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448.
Factors of 448 in pair are (1,448), (2,224), (4,112), (7,64), (8,56), (14,32), (16,28).

Sammy has 448 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 448 blocks in all possible ways to form a rectangle, we need to calculate factors of 448 in pair. Therefore, factors of 448 in pair are (1,448), (2,224), (4,112), (7,64), (8,56), (14,32), (16,28)