Steps to find factors of 300 that add upto 13

Example: Find factors of 300 that add upto 13

  • Sum of 1 and 12 : 1 + 12 = 13

Hence, factors of 300 that add upto 13 are 1 and 12.

Steps to find Factors of 300

  • Step 1. Find all the numbers that would divide 300 without leaving any remainder. Starting with the number 1 upto 150 (half of 300). The number 1 and the number itself are always factors of the given number.
    300 ÷ 1 : Remainder = 0
    300 ÷ 2 : Remainder = 0
    300 ÷ 3 : Remainder = 0
    300 ÷ 4 : Remainder = 0
    300 ÷ 5 : Remainder = 0
    300 ÷ 6 : Remainder = 0
    300 ÷ 10 : Remainder = 0
    300 ÷ 12 : Remainder = 0
    300 ÷ 15 : Remainder = 0
    300 ÷ 20 : Remainder = 0
    300 ÷ 25 : Remainder = 0
    300 ÷ 30 : Remainder = 0
    300 ÷ 50 : Remainder = 0
    300 ÷ 60 : Remainder = 0
    300 ÷ 75 : Remainder = 0
    300 ÷ 100 : Remainder = 0
    300 ÷ 150 : Remainder = 0
    300 ÷ 300 : Remainder = 0

Hence, Factors of 300 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, and 300

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 300 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, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300 are exact divisors of 300.

Examples

How many factors are there for 300?

Factors of 300 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300.
So there are in total 18 factors.

Raju wishes to write all the prime factors of 300. Can you assist him in doing the same?

Factors of 300 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300.
Prime factors of 300 are 2, 2, 3, 5, 5.

Can you assist Aubrey in finding factors of 300 that add upto 13?

Factors of 300 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300.
Factors of 300 that add upto 13 are 1, 12, as 1 + 12 = 13.

Can you help Diji in finding sum of all even factors of 300?

Factors of 300 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300.
Even factors of 300 are 2, 4, 6, 10, 12, 20, 30, 50, 60, 100, 150, 300.
Hence, sum of even factors of 300 is; 2 + 4 + 6 + 10 + 12 + 20 + 30 + 50 + 60 + 100 + 150 + 300 = 744.

Help Ashi in writing the negative pair factors of 300?

Negative factors of 300 are -1, -2, -3, -4, -5, -6, -10, -12, -15, -20, -25, -30, -50, -60, -75, -100, -150, -300. Hence, factors of 300 in pair are (-1,-300), (-2,-150), (-3,-100), (-4,-75), (-5,-60), (-6,-50), (-10,-30), (-12,-25), (-15,-20).

Rubel's teacher has asked her to find the factors of 300 and to write the positive factors and negative factors of 300. But she doesn't know how to get started help Rubel in finding the same.

Positive factors of 300 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300. Negative factors of 300 are -1, -2, -3, -4, -5, -6, -10, -12, -15, -20, -25, -30, -50, -60, -75, -100, -150, -300.

Write the correct prime factorization pattern of 300?

Correct prime factorization pattern of 300 is 22 x 3 x 52.