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Find-the-divisors-if-any-of-16000001-




Question Number 45221 by malwaan last updated on 10/Oct/18
Find the divisors ;  if any ; of 16000001
$$\mathrm{Find}\:\mathrm{the}\:\mathrm{divisors}\:; \\ $$$$\mathrm{if}\:\mathrm{any}\:;\:\mathrm{of}\:\mathrm{16000001} \\ $$
Answered by MJS last updated on 10/Oct/18
16000001=109×229×641
$$\mathrm{16000001}=\mathrm{109}×\mathrm{229}×\mathrm{641} \\ $$
Commented by rahul 19 last updated on 11/Oct/18
yes, this is the only method....
$${yes},\:{this}\:{is}\:{the}\:{only}\:{method}…. \\ $$
Commented by malwaan last updated on 11/Oct/18
any steps  please
$$\mathrm{any}\:\mathrm{steps} \\ $$$$\mathrm{please} \\ $$
Commented by MJS last updated on 11/Oct/18
you can only try all prime numbers  p≤(√(16000001))≈4000  after finding p_1 =109 with ((16000001)/(109))=146789  p≤(√(146789))≈383  I know no other method
$$\mathrm{you}\:\mathrm{can}\:\mathrm{only}\:\mathrm{try}\:\mathrm{all}\:\mathrm{prime}\:\mathrm{numbers} \\ $$$${p}\leqslant\sqrt{\mathrm{16000001}}\approx\mathrm{4000} \\ $$$$\mathrm{after}\:\mathrm{finding}\:{p}_{\mathrm{1}} =\mathrm{109}\:\mathrm{with}\:\frac{\mathrm{16000001}}{\mathrm{109}}=\mathrm{146789} \\ $$$${p}\leqslant\sqrt{\mathrm{146789}}\approx\mathrm{383} \\ $$$$\mathrm{I}\:\mathrm{know}\:\mathrm{no}\:\mathrm{other}\:\mathrm{method} \\ $$

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