Factoring Common factors of 720 and 722

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Factors of 720 and 722

Use the form below to do your conversion, separate numbers by comma.

Factors are

Factors of 720 =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 722 =1, 2, 19, 38, 361, 722

Equivalent to

what goes into 722

what multiplies to 722

what makes 722

what numbers go into 722

numbers that multiply to 722

what can you multiply to get 722



The real common factors of 720,722 is 1, 2

Solution

Factors are numbers that can divide without remainder.

Factors of 720

720/1 = 720         gives remainder 0 and so are divisible by 1
720/2 = 360         gives remainder 0 and so are divisible by 2
720/3 = 240         gives remainder 0 and so are divisible by 3
720/4 = 180         gives remainder 0 and so are divisible by 4
720/5 = 144         gives remainder 0 and so are divisible by 5
720/6 = 120         gives remainder 0 and so are divisible by 6
720/8 = 90         gives remainder 0 and so are divisible by 8
720/9 = 80         gives remainder 0 and so are divisible by 9
720/10 = 72         gives remainder 0 and so are divisible by 10
720/12 = 60         gives remainder 0 and so are divisible by 12
720/15 = 48         gives remainder 0 and so are divisible by 15
720/16 = 45         gives remainder 0 and so are divisible by 16
720/18 = 40         gives remainder 0 and so are divisible by 18
720/20 = 36         gives remainder 0 and so are divisible by 20
720/24 = 30         gives remainder 0 and so are divisible by 24
720/30 = 24         gives remainder 0 and so are divisible by 30
720/36 = 20         gives remainder 0 and so are divisible by 36
720/40 = 18         gives remainder 0 and so are divisible by 40
720/45 = 16         gives remainder 0 and so are divisible by 45
720/48 = 15         gives remainder 0 and so are divisible by 48
720/60 = 12         gives remainder 0 and so are divisible by 60
720/72 = 10         gives remainder 0 and so are divisible by 72
720/80 = 9         gives remainder 0 and so are divisible by 80
720/90 = 8         gives remainder 0 and so are divisible by 90
720/120 = 6         gives remainder 0 and so are divisible by 120
720/144 = 5         gives remainder 0 and so are divisible by 144
720/180 = 4         gives remainder 0 and so are divisible by 180
720/240 = 3         gives remainder 0 and so are divisible by 240
720/360 = 2         gives remainder 0 and so are divisible by 360
720/720 = 1         gives remainder 0 and so are divisible by 720

Factors of 722

722/1 = 722         gives remainder 0 and so are divisible by 1
722/2 = 361         gives remainder 0 and so are divisible by 2
722/19 = 38         gives remainder 0 and so are divisible by 19
722/38 = 19         gives remainder 0 and so are divisible by 38
722/361 = 2         gives remainder 0 and so are divisible by 361
722/722 = 1         gives remainder 0 and so are divisible by 722

Converting to factors of 720,722

We get factors of 720,722 numbers by finding numbers that can be multiplied together to equal the target number being converted.

This means numbers that can divide 720,722 without remainders. So first number to consider is 1 and 720,722

Getting factors is done by diving the number with numbers lower to it in value to find the one that will not leave remainder. Numbers that divide without remainders are the factors.

Instructions:

  1. Type the number you want to convert
    Separate more than 1 number with comma.
  2. Click on convert to factor

Other number conversions to consider

720  721  722  723  724  

722  723  724  725  726  

721  722  723  724  725  

Factors are the numbers you multiply to get another number. For instance, the factors of 25 are 5 and 5, because 5×5 = 25. Some numbers have more than one factorization (more than one way of being factored). For instance, 12 can be factored as 1×12, 2×6, or 3×4. A number that can only be factored as 1 times itself is called "prime". The first few primes are 2, 3, 5, 7, 11, and 13. The number 1 is not regarded as a prime, and is usually not included in factorizations, because 1 goes into everything. (The number 1 is a bit boring in this context, so it gets ignored.

By the way, there are some divisibility rules that can help you find the numbers to divide by. There are many divisibility rules, but the simplest to use are these: If the number is even, then it's divisible by 2. If the number's digits sum to a number that's divisible by 3, then the number itself is divisible by 3. If the number ends with a 0 or a 5, then it's divisible by 5.

Of course, if the number is divisible twice by 2, then it's divisible by 4; if it's divisible by 2 and by 3, then it's divisible by 6; and if it's divisible twice by 3 (or if the sum of the digits is divisible by 9), then it's divisible by 9. But since you're finding the factorization, you don't really care about these non-prime divisibility rules. There is a rule for divisibility by 7, but it's complicated enough that it's probably easier to just do the division on your calculator and see if it comes out even.

If you run out of small numbers and you are not done factoring, then keep trying bigger and bigger whole numbers (9, 14, 17, 20, 23, etc) until you find number that can divide without remainder. For example, 13 is a factor of 52 because 13 divides exactly into 52 (52 ÷ 13 = 4 leaving no remainder). The complete list of factors of 52 is: 1, 2, 4, 13, 26, and 52 (all these divide exactly into 52). If your number doesn't divide in, then the only potential divisors are bigger numbers. Since the square of your number is bigger than the number.









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