The number that 13 and 7 go into is 91. When we multiply 13 and 7, we get 91. This means that 91 is the product of both numbers. Therefore, we can say that 13 and 7 go into 91. In other words, when we divide 91 by 13 or by 7, we get the quotient as well as the remainder (if any).
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The question asks for a number that both 13 and 7 can evenly divide into. To find this number, we need to calculate the least common multiple (LCM) of 13 and 7. The least common multiple of two numbers is the smallest number that is a multiple of both numbers.
To find the LCM, we can list the multiples of 13 and 7 until we find a common multiple:
Multiples of 13: 13, 26, 39, 52, 65, 78, 91, ...
Multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, ...
As we list the multiples, we find that 91 is a common multiple (7 × 13 = 91). Therefore, 91 is the smallest number into which both 13 and 7 can divide evenly.
The smallest number that both 13 and 7 can divide into is 91, which is their least common multiple. This is confirmed by checking that dividing 91 by both 13 and 7 results in no remainders. Therefore, 91 is the answer.
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