Factoring Common factors of 420,423 and 425

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Factors of 420,423 and 425

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

Factors are

Factors of 420 =1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Factors of 423 =1, 3, 9, 47, 141, 423

Factors of 425 =1, 5, 17, 25, 85, 425

Equivalent to

what goes into 425

what multiplies to 425

what makes 425

what numbers go into 425

numbers that multiply to 425

what can you multiply to get 425



The real common factors of 420,423,425 is 1

Solution

Factors are numbers that can divide without remainder.

Factors of 420

420/1 = 420         gives remainder 0 and so are divisible by 1
420/2 = 210         gives remainder 0 and so are divisible by 2
420/3 = 140         gives remainder 0 and so are divisible by 3
420/4 = 105         gives remainder 0 and so are divisible by 4
420/5 = 84         gives remainder 0 and so are divisible by 5
420/6 = 70         gives remainder 0 and so are divisible by 6
420/7 = 60         gives remainder 0 and so are divisible by 7
420/10 = 42         gives remainder 0 and so are divisible by 10
420/12 = 35         gives remainder 0 and so are divisible by 12
420/14 = 30         gives remainder 0 and so are divisible by 14
420/15 = 28         gives remainder 0 and so are divisible by 15
420/20 = 21         gives remainder 0 and so are divisible by 20
420/21 = 20         gives remainder 0 and so are divisible by 21
420/28 = 15         gives remainder 0 and so are divisible by 28
420/30 = 14         gives remainder 0 and so are divisible by 30
420/35 = 12         gives remainder 0 and so are divisible by 35
420/42 = 10         gives remainder 0 and so are divisible by 42
420/60 = 7         gives remainder 0 and so are divisible by 60
420/70 = 6         gives remainder 0 and so are divisible by 70
420/84 = 5         gives remainder 0 and so are divisible by 84
420/105 = 4         gives remainder 0 and so are divisible by 105
420/140 = 3         gives remainder 0 and so are divisible by 140
420/210 = 2         gives remainder 0 and so are divisible by 210
420/420 = 1         gives remainder 0 and so are divisible by 420

Factors of 423

423/1 = 423         gives remainder 0 and so are divisible by 1
423/3 = 141         gives remainder 0 and so are divisible by 3
423/9 = 47         gives remainder 0 and so are divisible by 9
423/47 = 9         gives remainder 0 and so are divisible by 47
423/141 = 3         gives remainder 0 and so are divisible by 141
423/423 = 1         gives remainder 0 and so are divisible by 423

Factors of 425

425/1 = 425         gives remainder 0 and so are divisible by 1
425/5 = 85         gives remainder 0 and so are divisible by 5
425/17 = 25         gives remainder 0 and so are divisible by 17
425/25 = 17         gives remainder 0 and so are divisible by 25
425/85 = 5         gives remainder 0 and so are divisible by 85
425/425 = 1         gives remainder 0 and so are divisible by 425

Converting to factors of 420,423,425

We get factors of 420,423,425 numbers by finding numbers that can be multiplied together to equal the target number being converted.

This means numbers that can divide 420,423,425 without remainders. So first number to consider is 1 and 420,423,425

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

420  421  422  423  424  

422  423  424  425  426  

421  422  423  424  425  

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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