Factoring Common factors of 2400 and 2402

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Factors of 2400 and 2402

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

Factors are

Factors of 2400 =1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 75, 80, 96, 100, 120, 150, 160, 200, 240, 300, 400, 480, 600, 800, 1200, 2400

Factors of 2402 =1, 2, 1201, 2402

Equivalent to

what goes into 2402

what multiplies to 2402

what makes 2402

what numbers go into 2402

numbers that multiply to 2402

what can you multiply to get 2402



The real common factors of 2400,2402 is 1, 2

Solution

Factors are numbers that can divide without remainder.

Factors of 2400

2400/1 = 2400         gives remainder 0 and so are divisible by 1
2400/2 = 1200         gives remainder 0 and so are divisible by 2
2400/3 = 800         gives remainder 0 and so are divisible by 3
2400/4 = 600         gives remainder 0 and so are divisible by 4
2400/5 = 480         gives remainder 0 and so are divisible by 5
2400/6 = 400         gives remainder 0 and so are divisible by 6
2400/8 = 300         gives remainder 0 and so are divisible by 8
2400/10 = 240         gives remainder 0 and so are divisible by 10
2400/12 = 200         gives remainder 0 and so are divisible by 12
2400/15 = 160         gives remainder 0 and so are divisible by 15
2400/16 = 150         gives remainder 0 and so are divisible by 16
2400/20 = 120         gives remainder 0 and so are divisible by 20
2400/24 = 100         gives remainder 0 and so are divisible by 24
2400/25 = 96         gives remainder 0 and so are divisible by 25
2400/30 = 80         gives remainder 0 and so are divisible by 30
2400/32 = 75         gives remainder 0 and so are divisible by 32
2400/40 = 60         gives remainder 0 and so are divisible by 40
2400/48 = 50         gives remainder 0 and so are divisible by 48
2400/50 = 48         gives remainder 0 and so are divisible by 50
2400/60 = 40         gives remainder 0 and so are divisible by 60
2400/75 = 32         gives remainder 0 and so are divisible by 75
2400/80 = 30         gives remainder 0 and so are divisible by 80
2400/96 = 25         gives remainder 0 and so are divisible by 96
2400/100 = 24         gives remainder 0 and so are divisible by 100
2400/120 = 20         gives remainder 0 and so are divisible by 120
2400/150 = 16         gives remainder 0 and so are divisible by 150
2400/160 = 15         gives remainder 0 and so are divisible by 160
2400/200 = 12         gives remainder 0 and so are divisible by 200
2400/240 = 10         gives remainder 0 and so are divisible by 240
2400/300 = 8         gives remainder 0 and so are divisible by 300
2400/400 = 6         gives remainder 0 and so are divisible by 400
2400/480 = 5         gives remainder 0 and so are divisible by 480
2400/600 = 4         gives remainder 0 and so are divisible by 600
2400/800 = 3         gives remainder 0 and so are divisible by 800
2400/1200 = 2         gives remainder 0 and so are divisible by 1200
2400/2400 = 1         gives remainder 0 and so are divisible by 2400

Factors of 2402

2402/1 = 2402         gives remainder 0 and so are divisible by 1
2402/2 = 1201         gives remainder 0 and so are divisible by 2
2402/1201 = 2         gives remainder 0 and so are divisible by 1201
2402/2402 = 1         gives remainder 0 and so are divisible by 2402

Converting to factors of 2400,2402

We get factors of 2400,2402 numbers by finding numbers that can be multiplied together to equal the target number being converted.

This means numbers that can divide 2400,2402 without remainders. So first number to consider is 1 and 2400,2402

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

2400  2401  2402  2403  2404  

2402  2403  2404  2405  2406  

2401  2402  2403  2404  2405  

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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