The number 4641 can be expressed as the product of two 2-digit whole numbers. What is the sum of these two numbers?
To find the two-digit whole numbers that multiply to give 4641, we need to consider the factors of 4641.
Let's start by finding the factors.
1. To find the factors, we need to divide 4641 by all the whole numbers up to its square root.
- √4641 ≈ 68.15 (approximately)
2. Now, we divide 4641 by the whole numbers up to 68.
4641 ÷ 1 = 4641
4641 ÷ 2 = 2320.5 (not a whole number)
4641 ÷ 3 = 1547 (not a whole number)
4641 ÷ 4 = 1160.25 (not a whole number)
4641 ÷ 5 = 928.2 (not a whole number)
4641 ÷ 6 = 773.5 (not a whole number)
4641 ÷ 7 = 663 (not a whole number)
4641 ÷ 8 = 580.125 (not a whole number)
4641 ÷ 9 = 515.6667 (not a whole number)
4641 ÷ 10 = 464.1 (not a whole number)
4641 ÷ 11 = 421 (not a whole number)
4641 ÷ 12 = 386.75 (not a whole number)
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4641 ÷ 68 = 68.25 (not a whole number)
3. As we can see, there are no factors that divide evenly into 4641, other than 1 and 4641 itself.
4. However, we also need to consider the possibility that one of the factors is a multiple of 10 since 4641 ends with 1.
Let's find the two-digit factors ending with 1.
- The multiples of 10 ending with 1 are: 21, 31, 41, 51, 61, 71, 81, 91.
5. By checking each of these multiples as factors of 4641, we can find our desired factors.
4641 ÷ 21 = 220.52 (not a whole number)
4641 ÷ 31 = 149.7097 (not a whole number)
4641 ÷ 41 = 113.0488 (not a whole number)
4641 ÷ 51 = 91 (a whole number)
4641 ÷ 61 = 76.3115 (not a whole number)
4641 ÷ 71 = 65.3521 (not a whole number)
4641 ÷ 81 = 57.3704 (not a whole number)
4641 ÷ 91 = 51 (a whole number)
The two-digit whole numbers that multiply to give 4641 are 51 and 91.
To find the sum of these two numbers, we add them together:
Sum = 51 + 91 = 142.
Therefore, the sum of the two numbers is 142.
Well, 4641 is like that friend who always shows up late to the party - a bit of a prime number that doesn't easily split into two other whole numbers. It's like trying to divide a clown car into two smaller clown cars – you're going to end up with a lot of clowns packed into each one! In this case, the sum of the two numbers you're looking for is unfortunately an unsolvable mystery. But hey, at least we can all laugh at the silliness of numbers, right?
To find the two 2-digit whole numbers that multiply to give 4641, we can start by finding the factors of 4641.
To do this, we need to look for pairs of numbers that multiply together to give 4641. We start by checking if 4641 is divisible by 2, 3, 4, and so on. If a pair of numbers multiply to give 4641, one of them must be less than or equal to the square root of 4641.
Once we find a pair of numbers, we can find their sum to answer the question.
Let's calculate the factors of 4641 to find the answer:
First, we check if 4641 is divisible by 2. Since it is an odd number, we can move on to the next number.
Next, we check if 4641 is divisible by 3. To do this, we add up all the digits of 4641: 4 + 6 + 4 + 1 = 15. If this sum is divisible by 3, then 4641 is also divisible by 3. In this case, 15 is divisible by 3 because 15 ÷ 3 = 5. Thus, 4641 is divisible by 3.
Dividing 4641 by 3, we get 4641 ÷ 3 = 1547. So, we have found one factor, which is 3.
Now, we continue to divide the remaining factor, 1547, to find more factors.
The next step is to check if 1547 is divisible by 2, which it is not. Moving on, we check if it is divisible by 3, 4, and so on.
After some calculations, we find that 1547 is divisible by 7: 1547 ÷ 7 = 221. This gives us another factor, which is 7.
Continuing on, we find that 221 is divisible by 13: 221 ÷ 13 = 17. This gives us another factor, which is 13.
Finally, we find that 17 is divisible by 17: 17 ÷ 17 = 1.
Now, we have found all the factors of 4641: 3, 7, 13, and 17.
From the factors, we see that 4641 can be expressed as the product of the following two-digit whole numbers: 13 and 357 (13 × 357 = 4641).
To get the sum of these two numbers, we add them together: 13 + 357 = 370.
Therefore, the sum of the two 2-digit whole numbers that multiply to give 4641 is 370.