Factoring Common factors of 399,402 and 404

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Factors of 399,402 and 404

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

Factors are

Factors of 399 =1, 3, 7, 19, 21, 57, 133, 399

Factors of 402 =1, 2, 3, 6, 67, 134, 201, 402

Factors of 404 =1, 2, 4, 101, 202, 404

Equivalent to

what goes into 404

what multiplies to 404

what makes 404

what numbers go into 404

numbers that multiply to 404

what can you multiply to get 404



The real common factors of 399,402,404 is 1

Solution

Factors are numbers that can divide without remainder.

Factors of 399

399/1 = 399         gives remainder 0 and so are divisible by 1
399/3 = 133         gives remainder 0 and so are divisible by 3
399/7 = 57         gives remainder 0 and so are divisible by 7
399/19 = 21         gives remainder 0 and so are divisible by 19
399/21 = 19         gives remainder 0 and so are divisible by 21
399/57 = 7         gives remainder 0 and so are divisible by 57
399/133 = 3         gives remainder 0 and so are divisible by 133
399/399 = 1         gives remainder 0 and so are divisible by 399

Factors of 402

402/1 = 402         gives remainder 0 and so are divisible by 1
402/2 = 201         gives remainder 0 and so are divisible by 2
402/3 = 134         gives remainder 0 and so are divisible by 3
402/6 = 67         gives remainder 0 and so are divisible by 6
402/67 = 6         gives remainder 0 and so are divisible by 67
402/134 = 3         gives remainder 0 and so are divisible by 134
402/201 = 2         gives remainder 0 and so are divisible by 201
402/402 = 1         gives remainder 0 and so are divisible by 402

Factors of 404

404/1 = 404         gives remainder 0 and so are divisible by 1
404/2 = 202         gives remainder 0 and so are divisible by 2
404/4 = 101         gives remainder 0 and so are divisible by 4
404/101 = 4         gives remainder 0 and so are divisible by 101
404/202 = 2         gives remainder 0 and so are divisible by 202
404/404 = 1         gives remainder 0 and so are divisible by 404

Converting to factors of 399,402,404

We get factors of 399,402,404 numbers by finding numbers that can be multiplied together to equal the target number being converted.

This means numbers that can divide 399,402,404 without remainders. So first number to consider is 1 and 399,402,404

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

399  400  401  402  403  

401  402  403  404  405  

400  401  402  403  404  

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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