Factors of 392 that add upto 42 are 2, 4, 8, and 28

How to find factors of 392 that add upto 42

Steps to find factors of 392 that add upto 42

Example: Find factors of 392 that add upto 42

  • Sum of 2, 4, 8, and 28 : 2 + 4 + 8 + 28 = 42

Hence, factors of 392 that add upto 42 are 2, 4, 8, and 28.

Steps to find Factors of 392

  • Step 1. Find all the numbers that would divide 392 without leaving any remainder. Starting with the number 1 upto 196 (half of 392). The number 1 and the number itself are always factors of the given number.
    392 ÷ 1 : Remainder = 0
    392 ÷ 2 : Remainder = 0
    392 ÷ 4 : Remainder = 0
    392 ÷ 7 : Remainder = 0
    392 ÷ 8 : Remainder = 0
    392 ÷ 14 : Remainder = 0
    392 ÷ 28 : Remainder = 0
    392 ÷ 49 : Remainder = 0
    392 ÷ 56 : Remainder = 0
    392 ÷ 98 : Remainder = 0
    392 ÷ 196 : Remainder = 0
    392 ÷ 392 : Remainder = 0

Hence, Factors of 392 are 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, and 392

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 392 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, 28, 49, 56, 98, 196, 392 are exact divisors of 392.

Examples

How many factors are there for 392?

Factors of 392 are 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392.
So there are in total 12 factors.

Raju wishes to write all the prime factors of 392. Can you assist him in doing the same?

Factors of 392 are 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392.
Prime factors of 392 are 2, 2, 2, 7, 7.

Can you assist Aubrey in finding factors of 392 that add upto 42?

Factors of 392 are 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392.
Factors of 392 that add upto 42 are 2, 4, 8, 28, as 2 + 4 + 8 + 28 = 42.

Can you help Diji in finding sum of all even factors of 392?

Factors of 392 are 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392.
Even factors of 392 are 2, 4, 8, 14, 28, 56, 98, 196, 392.
Hence, sum of even factors of 392 is; 2 + 4 + 8 + 14 + 28 + 56 + 98 + 196 + 392 = 798.

Rustom is wondering to find the factors of 392 that add upto 42, but is stuck. Assist Rustom in writing the same.

Factors of 392 are 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392.
Factors of 392 that add upto 42 are 2, 4, 8, 28, as 2 + 4 + 8 + 28 = 42.

What are the negative pair factors of 392?

Negative factors of 392 are -1, -2, -4, -7, -8, -14, -28, -49, -56, -98, -196, -392. Hence, factors of 392 in pair are (-1,-392), (-2,-196), (-4,-98), (-7,-56), (-8,-49), (-14,-28).

Help Rudolph in finding the product of factors of 392?

Factors of 392 are 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392.
Therefore, product of factors of 392 is; 1 x 2 x 4 x 7 x 8 x 14 x 28 x 49 x 56 x 98 x 196 x 392 = 3628410392018944.