Question

Find the largest number apart from 840 that is a multiple of 24 and a factor of 840

Answer 1

Answer:

the answer is 168

Step-by-step explanation:

split 840 and 24 into primes

840 = 2×2×2×3x5x7

24= 2x2x2x3

therefore, any multiple of 24 must have those factor

so, factors of 840 that are multiples of 24 are

2x2x2x3 = 24

2x2x2x3x5 =120

2x2x2x3x7 = 168

2x2x2x5x7 = 840

Hence, proved

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Answer 2

Answer: 168

Step-by-step explanation:

first, split both 840 and 24 into there primes.

840=2×2×2×3×5×7

24=2×2×2×3

therefore any multiples of 24 must have those factor.

so, factors of 840 that are multiples of 24 are

2×2×2×3=24 2×2×2×3×5=120 2×2×2×3×7=168

2×2×2×3×5×7=840

there the answer is 168

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