Factors of 720 that add upto 48 are 1, 2, and 45

How to find factors of 720 that add upto 48

Steps to find factors of 720 that add upto 48

Example: Find factors of 720 that add upto 48

  • Sum of 1, 2, and 45 : 1 + 2 + 45 = 48

Hence, factors of 720 that add upto 48 are 1, 2, and 45.

Steps to find Factors of 720

  • Step 1. Find all the numbers that would divide 720 without leaving any remainder. Starting with the number 1 upto 360 (half of 720). The number 1 and the number itself are always factors of the given number.
    720 ÷ 1 : Remainder = 0
    720 ÷ 2 : Remainder = 0
    720 ÷ 3 : Remainder = 0
    720 ÷ 4 : Remainder = 0
    720 ÷ 5 : Remainder = 0
    720 ÷ 6 : Remainder = 0
    720 ÷ 8 : Remainder = 0
    720 ÷ 9 : Remainder = 0
    720 ÷ 10 : Remainder = 0
    720 ÷ 12 : Remainder = 0
    720 ÷ 15 : Remainder = 0
    720 ÷ 16 : Remainder = 0
    720 ÷ 18 : Remainder = 0
    720 ÷ 20 : Remainder = 0
    720 ÷ 24 : Remainder = 0
    720 ÷ 30 : Remainder = 0
    720 ÷ 36 : Remainder = 0
    720 ÷ 40 : Remainder = 0
    720 ÷ 45 : Remainder = 0
    720 ÷ 48 : Remainder = 0
    720 ÷ 60 : Remainder = 0
    720 ÷ 72 : Remainder = 0
    720 ÷ 80 : Remainder = 0
    720 ÷ 90 : Remainder = 0
    720 ÷ 120 : Remainder = 0
    720 ÷ 144 : Remainder = 0
    720 ÷ 180 : Remainder = 0
    720 ÷ 240 : Remainder = 0
    720 ÷ 360 : Remainder = 0
    720 ÷ 720 : Remainder = 0

Hence, Factors of 720 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, and 720

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 720 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, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720 are exact divisors of 720.

Examples

How many factors are there for 720?

Factors of 720 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720.
So there are in total 30 factors.

Raju wishes to write all the prime factors of 720. Can you assist him in doing the same?

Factors of 720 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720.
Prime factors of 720 are 2, 2, 2, 2, 3, 3, 5.

Can you assist Aubrey in finding factors of 720 that add upto 48?

Factors of 720 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720.
Factors of 720 that add upto 48 are 1, 2, 45, as 1 + 2 + 45 = 48.

Can you help Diji in finding sum of all even factors of 720?

Factors of 720 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720.
Even factors of 720 are 2, 4, 6, 8, 10, 12, 16, 18, 20, 24, 30, 36, 40, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720.
Hence, sum of even factors of 720 is; 2 + 4 + 6 + 8 + 10 + 12 + 16 + 18 + 20 + 24 + 30 + 36 + 40 + 48 + 60 + 72 + 80 + 90 + 120 + 144 + 180 + 240 + 360 + 720 = 2340.

Help Ashi in writing the negative pair factors of 720?

Negative factors of 720 are -1, -2, -3, -4, -5, -6, -8, -9, -10, -12, -15, -16, -18, -20, -24, -30, -36, -40, -45, -48, -60, -72, -80, -90, -120, -144, -180, -240, -360, -720. Hence, factors of 720 in pair are (-1,-720), (-2,-360), (-3,-240), (-4,-180), (-5,-144), (-6,-120), (-8,-90), (-9,-80), (-10,-72), (-12,-60), (-15,-48), (-16,-45), (-18,-40), (-20,-36), (-24,-30).

Rubel's teacher has asked her to find the factors of 720 and to write the positive factors and negative factors of 720. But she doesn't know how to get started help Rubel in finding the same.

Positive factors of 720 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720. Negative factors of 720 are -1, -2, -3, -4, -5, -6, -8, -9, -10, -12, -15, -16, -18, -20, -24, -30, -36, -40, -45, -48, -60, -72, -80, -90, -120, -144, -180, -240, -360, -720.

Write the correct prime factorization pattern of 720?

Correct prime factorization pattern of 720 is 24 x 32 x 5.