Prime factorization of 1000000000

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Prime factorization of 1000000000:

By prime factorization of 1000000000 we follow 5 simple steps:
1. We write number 1000000000 above a 2-column table
2. We divide 1000000000 by the smallest possible prime factor
3. We write down on the left side of the table the prime factor and next number to factorize on the ride side
4. We continue to factor in this fashion (we deal with odd numbers by trying small prime factors)
5. We continue until we reach 1 on the ride side of the table

1000000000
prime factorsnumber to factorize
2500000000
2250000000
2125000000
262500000
231250000
215625000
27812500
23906250
21953125
5390625
578125
515625
53125
5625
5125
525
55
51


Prime factorization of 1000000000 = 1×2×2×2×2×2×2×2×2×2×5×5×5×5×5×5×5×5×5= $ 1 × 2^9 × 5^9 $

 

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