Factors of 765,768 and 770

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

	Factors are	Factors of 765 =1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765 Factors of 768 =1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768 Factors of 770 =1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770 Equivalent to what goes into 770 what multiplies to 770 what makes 770 what numbers go into 770 numbers that multiply to 770 what can you multiply to get 770
		The real common factors of 765,768,770 is 1

Solution Factors are numbers that can divide without remainder. Factors of 765 765/1 = 765         gives remainder 0 and so are divisible by 1 765/3 = 255         gives remainder 0 and so are divisible by 3 765/5 = 153         gives remainder 0 and so are divisible by 5 765/9 = 85         gives remainder 0 and so are divisible by 9 765/15 = 51         gives remainder 0 and so are divisible by 15 765/17 = 45         gives remainder 0 and so are divisible by 17 765/45 = 17         gives remainder 0 and so are divisible by 45 765/51 = 15         gives remainder 0 and so are divisible by 51 765/85 = 9         gives remainder 0 and so are divisible by 85 765/153 = 5         gives remainder 0 and so are divisible by 153 765/255 = 3         gives remainder 0 and so are divisible by 255 765/765 = 1         gives remainder 0 and so are divisible by 765 Factors of 768 768/1 = 768         gives remainder 0 and so are divisible by 1 768/2 = 384         gives remainder 0 and so are divisible by 2 768/3 = 256         gives remainder 0 and so are divisible by 3 768/4 = 192         gives remainder 0 and so are divisible by 4 768/6 = 128         gives remainder 0 and so are divisible by 6 768/8 = 96         gives remainder 0 and so are divisible by 8 768/12 = 64         gives remainder 0 and so are divisible by 12 768/16 = 48         gives remainder 0 and so are divisible by 16 768/24 = 32         gives remainder 0 and so are divisible by 24 768/32 = 24         gives remainder 0 and so are divisible by 32 768/48 = 16         gives remainder 0 and so are divisible by 48 768/64 = 12         gives remainder 0 and so are divisible by 64 768/96 = 8         gives remainder 0 and so are divisible by 96 768/128 = 6         gives remainder 0 and so are divisible by 128 768/192 = 4         gives remainder 0 and so are divisible by 192 768/256 = 3         gives remainder 0 and so are divisible by 256 768/384 = 2         gives remainder 0 and so are divisible by 384 768/768 = 1         gives remainder 0 and so are divisible by 768 Factors of 770 770/1 = 770         gives remainder 0 and so are divisible by 1 770/2 = 385         gives remainder 0 and so are divisible by 2 770/5 = 154         gives remainder 0 and so are divisible by 5 770/7 = 110         gives remainder 0 and so are divisible by 7 770/10 = 77         gives remainder 0 and so are divisible by 10 770/11 = 70         gives remainder 0 and so are divisible by 11 770/14 = 55         gives remainder 0 and so are divisible by 14 770/22 = 35         gives remainder 0 and so are divisible by 22 770/35 = 22         gives remainder 0 and so are divisible by 35 770/55 = 14         gives remainder 0 and so are divisible by 55 770/70 = 11         gives remainder 0 and so are divisible by 70 770/77 = 10         gives remainder 0 and so are divisible by 77 770/110 = 7         gives remainder 0 and so are divisible by 110 770/154 = 5         gives remainder 0 and so are divisible by 154 770/385 = 2         gives remainder 0 and so are divisible by 385 770/770 = 1         gives remainder 0 and so are divisible by 770

Converting to factors of 765,768,770

We get factors of 765,768,770 numbers by finding numbers that can be multiplied together to equal the target number being converted.

This means numbers that can divide 765,768,770 without remainders. So first number to consider is 1 and 765,768,770

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

765  766  767  768  769  

767  768  769  770  771  

766  767  768  769  770  

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.