Steps to find factors of 900 that add upto 61

Example: Find factors of 900 that add upto 61

  • Sum of 1 and 60 : 1 + 60 = 61

Hence, factors of 900 that add upto 61 are 1 and 60.

Steps to find Factors of 900

  • Step 1. Find all the numbers that would divide 900 without leaving any remainder. Starting with the number 1 upto 450 (half of 900). The number 1 and the number itself are always factors of the given number.
    900 ÷ 1 : Remainder = 0
    900 ÷ 2 : Remainder = 0
    900 ÷ 3 : Remainder = 0
    900 ÷ 4 : Remainder = 0
    900 ÷ 5 : Remainder = 0
    900 ÷ 6 : Remainder = 0
    900 ÷ 9 : Remainder = 0
    900 ÷ 10 : Remainder = 0
    900 ÷ 12 : Remainder = 0
    900 ÷ 15 : Remainder = 0
    900 ÷ 18 : Remainder = 0
    900 ÷ 20 : Remainder = 0
    900 ÷ 25 : Remainder = 0
    900 ÷ 30 : Remainder = 0
    900 ÷ 36 : Remainder = 0
    900 ÷ 45 : Remainder = 0
    900 ÷ 50 : Remainder = 0
    900 ÷ 60 : Remainder = 0
    900 ÷ 75 : Remainder = 0
    900 ÷ 90 : Remainder = 0
    900 ÷ 100 : Remainder = 0
    900 ÷ 150 : Remainder = 0
    900 ÷ 180 : Remainder = 0
    900 ÷ 225 : Remainder = 0
    900 ÷ 300 : Remainder = 0
    900 ÷ 450 : Remainder = 0
    900 ÷ 900 : Remainder = 0

Hence, Factors of 900 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, and 900

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 900 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, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900 are exact divisors of 900.

Examples

Can you assist Aubrey in finding factors of 900 that add upto 61?

Factors of 900 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900.
Factors of 900 that add upto 61 are 1, 60, as 1 + 60 = 61.

Can you help Diji in finding sum of all even factors of 900?

Factors of 900 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900.
Even factors of 900 are 2, 4, 6, 10, 12, 18, 20, 30, 36, 50, 60, 90, 100, 150, 180, 300, 450, 900.
Hence, sum of even factors of 900 is; 2 + 4 + 6 + 10 + 12 + 18 + 20 + 30 + 36 + 50 + 60 + 90 + 100 + 150 + 180 + 300 + 450 + 900 = 2418.

Rustom is wondering to find the factors of 900 that add upto 61, but is stuck. Assist Rustom in writing the same.

Factors of 900 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900.
Factors of 900 that add upto 61 are 1, 60, as 1 + 60 = 61.

Help Andy in writing even prime factors of 900.

Factors of 900 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900.
Even factors of 900 are 2, 4, 6, 10, 12, 18, 20, 30, 36, 50, 60, 90, 100, 150, 180, 300, 450, 900.

What is the largest factors of 900?

Factors of 900 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900. Largest factor f 900 is 900.

Sammy is puzzled while calculating the prime factors of 900. Can you help him find them?

Factors of 900 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900.
Prime factors of 900 are 2, 2, 3, 3, 5, 5

Help Ashi in writing the negative pair factors of 900?

Negative factors of 900 are -1, -2, -3, -4, -5, -6, -9, -10, -12, -15, -18, -20, -25, -30, -36, -45, -50, -60, -75, -90, -100, -150, -180, -225, -300, -450, -900. Hence, factors of 900 in pair are (-1,-900), (-2,-450), (-3,-300), (-4,-225), (-5,-180), (-6,-150), (-9,-100), (-10,-90), (-12,-75), (-15,-60), (-18,-50), (-20,-45), (-25,-36), (-30,-30).