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The product of all the prime numbers less than 20 is closest to which of the following powers of 10?

o 10⁹
o 10⁸
o 10⁷
o 10⁶
o 10 ⁵

1 Answer

3 votes

Final answer:

The product of all the prime numbers less than 20 is closest to 10^7.

Step-by-step explanation:

The product of all the prime numbers less than 20 can be found by multiplying the prime numbers together: 2 x 3 x 5 x 7 x 11 x 13 x 17 x 19. Let's calculate this product.

2 x 3 = 6

6 x 5 = 30

30 x 7 = 210

210 x 11 = 2310

2310 x 13 = 30030

30030 x 17 = 510510

510510 x 19 = 9699690

The product of all the prime numbers less than 20 is closest to 107.

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