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MATH

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WHAT IS THE SUM OF ALL THE DISTINCT, POSITIVE PRIME FACTORS OF 1260

  • MATH - ,

    You have to break 1260 down into it's number tree. Start by dividing the number by 2 until you can't do it evenly, then divide by 3, and so on until no more divisions can be made:

    1260/2 = 630

    So we have one prime factor, 2 and are left with 630:

    630/2 = 315

    Now we have two prime factors, 2 and 2. We are left with 315:

    315/3 = 105

    Now we have three prime factors - 2,2,3. We are left with 105:

    105/3 = 35

    Now we have four prime factors - 2,2,3,3. We are left with 35:

    35/5 = 7

    Now we have SIX prime factors - 2,2,3,3,5,7. Thus the sum of all the distinct, positive prime factors of 1260 are:

    2+2+3+3+5+7 = 22

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