Factors of 757,760 and 762

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

	Factors are	Factors of 757 =1, 757 Factors of 760 =1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760 Factors of 762 =1, 2, 3, 6, 127, 254, 381, 762 Equivalent to what goes into 762 what multiplies to 762 what makes 762 what numbers go into 762 numbers that multiply to 762 what can you multiply to get 762
		The real common factors of 757,760,762 is 1

Solution Factors are numbers that can divide without remainder. Factors of 757 757/1 = 757         gives remainder 0 and so are divisible by 1 757/757 = 1         gives remainder 0 and so are divisible by 757 Factors of 760 760/1 = 760         gives remainder 0 and so are divisible by 1 760/2 = 380         gives remainder 0 and so are divisible by 2 760/4 = 190         gives remainder 0 and so are divisible by 4 760/5 = 152         gives remainder 0 and so are divisible by 5 760/8 = 95         gives remainder 0 and so are divisible by 8 760/10 = 76         gives remainder 0 and so are divisible by 10 760/19 = 40         gives remainder 0 and so are divisible by 19 760/20 = 38         gives remainder 0 and so are divisible by 20 760/38 = 20         gives remainder 0 and so are divisible by 38 760/40 = 19         gives remainder 0 and so are divisible by 40 760/76 = 10         gives remainder 0 and so are divisible by 76 760/95 = 8         gives remainder 0 and so are divisible by 95 760/152 = 5         gives remainder 0 and so are divisible by 152 760/190 = 4         gives remainder 0 and so are divisible by 190 760/380 = 2         gives remainder 0 and so are divisible by 380 760/760 = 1         gives remainder 0 and so are divisible by 760 Factors of 762 762/1 = 762         gives remainder 0 and so are divisible by 1 762/2 = 381         gives remainder 0 and so are divisible by 2 762/3 = 254         gives remainder 0 and so are divisible by 3 762/6 = 127         gives remainder 0 and so are divisible by 6 762/127 = 6         gives remainder 0 and so are divisible by 127 762/254 = 3         gives remainder 0 and so are divisible by 254 762/381 = 2         gives remainder 0 and so are divisible by 381 762/762 = 1         gives remainder 0 and so are divisible by 762

Converting to factors of 757,760,762

We get factors of 757,760,762 numbers by finding numbers that can be multiplied together to equal the target number being converted.

This means numbers that can divide 757,760,762 without remainders. So first number to consider is 1 and 757,760,762

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

757  758  759  760  761  

759  760  761  762  763  

758  759  760  761  762  

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.