Factors of 30000 that add upto 350 are 2, 48, and 300

How to find factors of 30000 that add upto 350

Steps to find factors of 30000 that add upto 350

Example: Find factors of 30000 that add upto 350

  • Sum of 2, 48, and 300 : 2 + 48 + 300 = 350

Hence, factors of 30000 that add upto 350 are 2, 48, and 300.

Steps to find Factors of 30000

  • Step 1. Find all the numbers that would divide 30000 without leaving any remainder. Starting with the number 1 upto 15000 (half of 30000). The number 1 and the number itself are always factors of the given number.
    30000 ÷ 1 : Remainder = 0
    30000 ÷ 2 : Remainder = 0
    30000 ÷ 3 : Remainder = 0
    30000 ÷ 4 : Remainder = 0
    30000 ÷ 5 : Remainder = 0
    30000 ÷ 6 : Remainder = 0
    30000 ÷ 8 : Remainder = 0
    30000 ÷ 10 : Remainder = 0
    30000 ÷ 12 : Remainder = 0
    30000 ÷ 15 : Remainder = 0
    30000 ÷ 16 : Remainder = 0
    30000 ÷ 20 : Remainder = 0
    30000 ÷ 24 : Remainder = 0
    30000 ÷ 25 : Remainder = 0
    30000 ÷ 30 : Remainder = 0
    30000 ÷ 40 : Remainder = 0
    30000 ÷ 48 : Remainder = 0
    30000 ÷ 50 : Remainder = 0
    30000 ÷ 60 : Remainder = 0
    30000 ÷ 75 : Remainder = 0
    30000 ÷ 80 : Remainder = 0
    30000 ÷ 100 : Remainder = 0
    30000 ÷ 120 : Remainder = 0
    30000 ÷ 125 : Remainder = 0
    30000 ÷ 150 : Remainder = 0
    30000 ÷ 200 : Remainder = 0
    30000 ÷ 240 : Remainder = 0
    30000 ÷ 250 : Remainder = 0
    30000 ÷ 300 : Remainder = 0
    30000 ÷ 375 : Remainder = 0
    30000 ÷ 400 : Remainder = 0
    30000 ÷ 500 : Remainder = 0
    30000 ÷ 600 : Remainder = 0
    30000 ÷ 625 : Remainder = 0
    30000 ÷ 750 : Remainder = 0
    30000 ÷ 1000 : Remainder = 0
    30000 ÷ 1200 : Remainder = 0
    30000 ÷ 1250 : Remainder = 0
    30000 ÷ 1500 : Remainder = 0
    30000 ÷ 1875 : Remainder = 0
    30000 ÷ 2000 : Remainder = 0
    30000 ÷ 2500 : Remainder = 0
    30000 ÷ 3000 : Remainder = 0
    30000 ÷ 3750 : Remainder = 0
    30000 ÷ 5000 : Remainder = 0
    30000 ÷ 6000 : Remainder = 0
    30000 ÷ 7500 : Remainder = 0
    30000 ÷ 10000 : Remainder = 0
    30000 ÷ 15000 : Remainder = 0
    30000 ÷ 30000 : Remainder = 0

Hence, Factors of 30000 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 125, 150, 200, 240, 250, 300, 375, 400, 500, 600, 625, 750, 1000, 1200, 1250, 1500, 1875, 2000, 2500, 3000, 3750, 5000, 6000, 7500, 10000, 15000, and 30000

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 30000 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, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 125, 150, 200, 240, 250, 300, 375, 400, 500, 600, 625, 750, 1000, 1200, 1250, 1500, 1875, 2000, 2500, 3000, 3750, 5000, 6000, 7500, 10000, 15000, 30000 are exact divisors of 30000.

Examples

How many factors are there for 30000?

Factors of 30000 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 125, 150, 200, 240, 250, 300, 375, 400, 500, 600, 625, 750, 1000, 1200, 1250, 1500, 1875, 2000, 2500, 3000, 3750, 5000, 6000, 7500, 10000, 15000, 30000.
So there are in total 50 factors.

Raju wishes to write all the prime factors of 30000. Can you assist him in doing the same?

Factors of 30000 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 125, 150, 200, 240, 250, 300, 375, 400, 500, 600, 625, 750, 1000, 1200, 1250, 1500, 1875, 2000, 2500, 3000, 3750, 5000, 6000, 7500, 10000, 15000, 30000.
Prime factors of 30000 are 2, 2, 2, 2, 3, 5, 5, 5, 5.

Rustom is wondering to find the factors of 30000 that add upto 350, but is stuck. Assist Rustom in writing the same.

Factors of 30000 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 125, 150, 200, 240, 250, 300, 375, 400, 500, 600, 625, 750, 1000, 1200, 1250, 1500, 1875, 2000, 2500, 3000, 3750, 5000, 6000, 7500, 10000, 15000, 30000.
Factors of 30000 that add upto 350 are 2, 48, 300, as 2 + 48 + 300 = 350.

Help Rudolph in finding the product of factors of 30000?

Factors of 30000 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 125, 150, 200, 240, 250, 300, 375, 400, 500, 600, 625, 750, 1000, 1200, 1250, 1500, 1875, 2000, 2500, 3000, 3750, 5000, 6000, 7500, 10000, 15000, 30000.
Therefore, product of factors of 30000 is; 1 x 2 x 3 x 4 x 5 x 6 x 8 x 10 x 12 x 15 x 16 x 20 x 24 x 25 x 30 x 40 x 48 x 50 x 60 x 75 x 80 x 100 x 120 x 125 x 150 x 200 x 240 x 250 x 300 x 375 x 400 x 500 x 600 x 625 x 750 x 1000 x 1200 x 1250 x 1500 x 1875 x 2000 x 2500 x 3000 x 3750 x 5000 x 6000 x 7500 x 10000 x 15000 x 30000 = 8.472886094429999e+111.

What is the largest factors of 30000?

Factors of 30000 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 125, 150, 200, 240, 250, 300, 375, 400, 500, 600, 625, 750, 1000, 1200, 1250, 1500, 1875, 2000, 2500, 3000, 3750, 5000, 6000, 7500, 10000, 15000, 30000. Largest factor f 30000 is 30000.

Help Ashi in writing the negative pair factors of 30000?

Negative factors of 30000 are -1, -2, -3, -4, -5, -6, -8, -10, -12, -15, -16, -20, -24, -25, -30, -40, -48, -50, -60, -75, -80, -100, -120, -125, -150, -200, -240, -250, -300, -375, -400, -500, -600, -625, -750, -1000, -1200, -1250, -1500, -1875, -2000, -2500, -3000, -3750, -5000, -6000, -7500, -10000, -15000, -30000. Hence, factors of 30000 in pair are (-1,-30000), (-2,-15000), (-3,-10000), (-4,-7500), (-5,-6000), (-6,-5000), (-8,-3750), (-10,-3000), (-12,-2500), (-15,-2000), (-16,-1875), (-20,-1500), (-24,-1250), (-25,-1200), (-30,-1000), (-40,-750), (-48,-625), (-50,-600), (-60,-500), (-75,-400), (-80,-375), (-100,-300), (-120,-250), (-125,-240), (-150,-200).

Write the correct prime factorization pattern of 30000?

Correct prime factorization pattern of 30000 is 24 x 3 x 54.