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Prime factorization of 40:

Prime factorization of 40 = 1×2×2×2×5= $ 1 × 2^3 × 5 $

By prime factorization of 40 we follow 5 simple steps:

1. We write number 40 above a 2-column table

2. We divide 40 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

40 | |

prime factors | number to factorize |

2 | 20 |

2 | 10 |

2 | 5 |

5 | 1 |

Prime factorization of 40 = 1×2×2×2×5= $ 1 × 2^3 × 5 $

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