Factors of 289,292 and 294

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

	Factors are	Factors of 289 =1, 17, 289 Factors of 292 =1, 2, 4, 73, 146, 292 Factors of 294 =1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294 Equivalent to what goes into 294 what multiplies to 294 what makes 294 what numbers go into 294 numbers that multiply to 294 what can you multiply to get 294
		The real common factors of 289,292,294 is 1

Solution Factors are numbers that can divide without remainder. Factors of 289 289/1 = 289         gives remainder 0 and so are divisible by 1 289/17 = 17         gives remainder 0 and so are divisible by 17 289/289 = 1         gives remainder 0 and so are divisible by 289 Factors of 292 292/1 = 292         gives remainder 0 and so are divisible by 1 292/2 = 146         gives remainder 0 and so are divisible by 2 292/4 = 73         gives remainder 0 and so are divisible by 4 292/73 = 4         gives remainder 0 and so are divisible by 73 292/146 = 2         gives remainder 0 and so are divisible by 146 292/292 = 1         gives remainder 0 and so are divisible by 292 Factors of 294 294/1 = 294         gives remainder 0 and so are divisible by 1 294/2 = 147         gives remainder 0 and so are divisible by 2 294/3 = 98         gives remainder 0 and so are divisible by 3 294/6 = 49         gives remainder 0 and so are divisible by 6 294/7 = 42         gives remainder 0 and so are divisible by 7 294/14 = 21         gives remainder 0 and so are divisible by 14 294/21 = 14         gives remainder 0 and so are divisible by 21 294/42 = 7         gives remainder 0 and so are divisible by 42 294/49 = 6         gives remainder 0 and so are divisible by 49 294/98 = 3         gives remainder 0 and so are divisible by 98 294/147 = 2         gives remainder 0 and so are divisible by 147 294/294 = 1         gives remainder 0 and so are divisible by 294

Converting to factors of 289,292,294

We get factors of 289,292,294 numbers by finding numbers that can be multiplied together to equal the target number being converted.

This means numbers that can divide 289,292,294 without remainders. So first number to consider is 1 and 289,292,294

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

Other number conversions to consider

289  290  291  292  293  

291  292  293  294  295  

290  291  292  293  294  

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.