Factoring Common factors of 875,878 and 880

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Factors of 875,878 and 880

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

Factors are

Factors of 875 =1, 5, 7, 25, 35, 125, 175, 875

Factors of 878 =1, 2, 439, 878

Factors of 880 =1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Equivalent to

what goes into 880

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The real common factors of 875,878,880 is 1

Solution

Factors are numbers that can divide without remainder.

Factors of 875

875/1 = 875         gives remainder 0 and so are divisible by 1
875/5 = 175         gives remainder 0 and so are divisible by 5
875/7 = 125         gives remainder 0 and so are divisible by 7
875/25 = 35         gives remainder 0 and so are divisible by 25
875/35 = 25         gives remainder 0 and so are divisible by 35
875/125 = 7         gives remainder 0 and so are divisible by 125
875/175 = 5         gives remainder 0 and so are divisible by 175
875/875 = 1         gives remainder 0 and so are divisible by 875

Factors of 878

878/1 = 878         gives remainder 0 and so are divisible by 1
878/2 = 439         gives remainder 0 and so are divisible by 2
878/439 = 2         gives remainder 0 and so are divisible by 439
878/878 = 1         gives remainder 0 and so are divisible by 878

Factors of 880

880/1 = 880         gives remainder 0 and so are divisible by 1
880/2 = 440         gives remainder 0 and so are divisible by 2
880/4 = 220         gives remainder 0 and so are divisible by 4
880/5 = 176         gives remainder 0 and so are divisible by 5
880/8 = 110         gives remainder 0 and so are divisible by 8
880/10 = 88         gives remainder 0 and so are divisible by 10
880/11 = 80         gives remainder 0 and so are divisible by 11
880/16 = 55         gives remainder 0 and so are divisible by 16
880/20 = 44         gives remainder 0 and so are divisible by 20
880/22 = 40         gives remainder 0 and so are divisible by 22
880/40 = 22         gives remainder 0 and so are divisible by 40
880/44 = 20         gives remainder 0 and so are divisible by 44
880/55 = 16         gives remainder 0 and so are divisible by 55
880/80 = 11         gives remainder 0 and so are divisible by 80
880/88 = 10         gives remainder 0 and so are divisible by 88
880/110 = 8         gives remainder 0 and so are divisible by 110
880/176 = 5         gives remainder 0 and so are divisible by 176
880/220 = 4         gives remainder 0 and so are divisible by 220
880/440 = 2         gives remainder 0 and so are divisible by 440
880/880 = 1         gives remainder 0 and so are divisible by 880

Converting to factors of 875,878,880

We get factors of 875,878,880 numbers by finding numbers that can be multiplied together to equal the target number being converted.

This means numbers that can divide 875,878,880 without remainders. So first number to consider is 1 and 875,878,880

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

875  876  877  878  879  

877  878  879  880  881  

876  877  878  879  880  

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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