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A number when divided by 357 leaves a remainder 39 what will be the remainder when the number is divided by 17?
Wiki User
∙ 7y ago
If x ≡ 39 mod 357 then:
x = 357k + 39 for some integer k.
Now 357 = 21×17, and 39 = 2×17+5
→ x = 21×17×k + 2×17 + 5
→ x = 17(21k + 2) + 5
→ x = 17m + 5 where m = 21k + 2 (is an integer)
→ x ≡ 5 mod 17
→ the remainder when the number is divided by 17 is 5.
Wiki User
∙ 7y ago
Wiki User
∙ 7y agoIt will leave a remainder of 5.
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What is the remainder of 357 7?
357 divided by 7 is 51 with remainder 0
A number is between 300 and 400 if it is divided by 2the remainder is 1 if it is divided by 4.6 or 8 the remainder is 3 if it is divided by 10 the remainder is 5 if it is divided by 357 or 9?
365
What is the remainder when 357 is divided by 7?
51
What is the quotient of 357 is divided by 7?
51
On dividing a number by 357 we get w as remainder. On dividing the same number 17 what will be the remainder?
If x ≡ w mod 357 then: x = 357k + w for some integer k. Now 357 = 21×17, and w = 17n + c for some integers n ≥ 0 and 0 ≤ c < 17 → w ≡ c mod 17 This gives: x = 21×17×k + 17n + c → x = 17(21k + n) + c → x = 17m + c where m = 21k + n (is an integer) → x ≡ c mod 17 → the remainder when the number is divided by 17 is the same as the remainder when the original remainder w is divided by 17.
What is 357 divided by 15?
23.8
What is 14 divided into 357?
14 divided into 357 = 0.0392156862745098
How many times can 8 go into 357?
It is: 357/8 = 44 with a remainder of 5
What is 357 divided by 243?
1.4691
What is 357 divided by 4?
89.25
What is 357 divided by 6?
59.5
Is 357 divisible by 9?
357 divided by 9 is 39.66666667
