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Earn +20 ptsQ: What two numbers can go into 284?
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What is an example of amicable numbers?
220 & 284
What can go into 75 and 284 without a remainder?
The only number that can go into both 75 and 284 without a remainder is one (1).
2 numbers the factor of each adds up to make the other number?
Amicable numbers are two different numbers so related that the sum of the proper divisors of each is equal to the other number. For example, the smallest pair of amicable numbers is (220, 284)
Do two whole numbers always have a LCM?
No. Factors go into numbers, numbers go into multiples.
What is interesting about the factors of 220 and 284?
the factors of 220 add up to 284; the factors of 284 add up to 220. 220 is divisible by 1,2,4,5,10,11, 20,22,44,55 and 110. 1+2+4+5+10+11+20+22+44+55+110 = 284 284 is divisible by 1,2,4,71 and 142. 1+2+4+71+142 = 220. A pair of numbers with this ability is called 'amicable numbers'. Other knows pairs of amicable numbers are (17296, 18416) and (9363584, 9437056).
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