rewrite the sum in the form a(b+c) such that the integers have no common factor
35 + 42
35 + 42 in this form a(b + c)
To rewrite the sum 35 + 42 in the form a(b+c) without any common factors, we need to find the greatest common divisor (GCD) of 35 and 42 and then divide both numbers by it.
To find the GCD, we can use the Euclidean algorithm. Divide 42 by 35:
42 ÷ 35 = 1 with a remainder of 7
Then divide 35 by 7:
35 ÷ 7 = 5 with no remainder
The GCD of 35 and 42 is 7. Now, divide both numbers by 7:
35 ÷ 7 = 5
42 ÷ 7 = 6
Therefore, 35 + 42 can be rewritten as:
35 + 42 = 7(5 + 6)
So, in the form a(b+c) with no common factors, 35 + 42 is equal to 7(5 + 6).
36(1+2)
24 + 16=
7 * 5 + 2*7*3
= 7(5+6)