Find factors of 448 that add upto 64

Steps to find factors of 448 that add upto 64

Find all factors.
Then we find the sum of combinations of factors.
Note down the combination of factors with sum as 64, and read off the answer!

Example: Find factors of 448 that add upto 64

Sum of 1, 7, and 56 : 1 + 7 + 56 = 64

Hence, factors of 448 that add upto 64 are 1, 7, and 56.

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

What are factors?

In mathematics, the term factor is used for that number which divides the other number to leave 0 as a remainder. A factor of a number can be positive or negative.

Properties of Factors

Factors and multiples are two different terms. Factors are those number which when multiplied together give the number itself, on the other hand multiples are what we get after multiplying the same number with and other number.
Prime factors are those factors which are further divisible by only two numbers i.e. 1 ans the factor itself.
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.

Examples

How many factors are there for 448?

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

Raju wishes to write all the prime factors of 448. Can you assist him in doing the same?

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.

Can you assist Aubrey in finding factors of 448 that add upto 64?

Factors of 448 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448.
Factors of 448 that add upto 64 are 1, 7, 56, as 1 + 7 + 56 = 64.

Can you help Diji in finding sum of all even factors of 448?

Factors of 448 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448.
Even factors of 448 are 2, 4, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448.
Hence, sum of even factors of 448 is; 2 + 4 + 8 + 14 + 16 + 28 + 32 + 56 + 64 + 112 + 224 + 448 = 1008.

Rustom is wondering to find the factors of 448 that add upto 64, but is stuck. Assist Rustom in writing the same.

Factors of 448 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448.
Factors of 448 that add upto 64 are 1, 7, 56, as 1 + 7 + 56 = 64.

What are the negative pair factors of 448?

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 Rudolph in finding the product of factors of 448?

Factors of 448 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448.
Therefore, product of factors of 448 is; 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.

Factors of 448 that add upto 64

How to find factors of 448 that add upto 64