David W. answered • 06/09/16
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The factors are: (note: keep dividing by prime numbers)
2924 sheep: 1*2*2*17*43
2193 lambs: 1*3*17*43
1. The GCF (Greatest Common Factor) is 1*17*43 = 731 in each flock.
2. So, the farmer may have 4 flocks of sheep (4*731) and 3 flocks of lambs (3*731), Total 7 flocks.
David W.
The problem gives two numbers (2924 and 2193). Every positive integer is a product of factors. For example, 8=2*2*2. If a number has only factors of 1 and itself, it is called a
prime number. The prime numbers are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, … To determine the factors or 2924 and 2193, you keep dividing primes into them. I listed the factors or 2924 and 2193.
The largest (the G in GCF) number that divides evenly into both 2924 and 2193 is 731. That’s the largest size flock that the farmer may have. Notice that 731 divides into 2924 four times and into 2193 three times, so 7 flocks are needed.
The largest (the G in GCF) number that divides evenly into both 2924 and 2193 is 731. That’s the largest size flock that the farmer may have. Notice that 731 divides into 2924 four times and into 2193 three times, so 7 flocks are needed.
Does that help ?
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06/09/16
Gauri T.
THANKS
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06/09/16
Gauri T.
06/09/16