As your math tutor, I’m here to help you break down factor pairs of 2490 step by step!
Factor pairs of 2490 are any two numbers that, when multiplied together, equal 2490. The question to ask is “what two numbers multiplied together equal 2490?” Every factor can be paired with another factor, and multiplying the two will result in 2490.
To find the factor pairs of 2490, follow these steps:
Step 1:
Find the smallest prime number that is larger than 1, and is a factor of 2490. For reference, the first prime numbers to check are 2, 3, 5, 7, 11, and 13. In this case, the smallest factor that’s a prime number larger than 1 is 2.
Step 2:
Divide 2490 by the smallest prime factor, in this case, 2:
2490 ÷ 2 = 1245
2 and 1245 will make a new factor pair.
Step 3:
Repeat Steps 1 and 2, using 1245 as the new focus. Find the smallest prime factor that isn’t 1, and divide 1245 by that number. In this case, 3 is the new smallest prime factor:
1245 ÷ 3 = 415
Remember that this new factor pair is only for the factors of 1245, not 2490. So, to finish the factor pair for 2490, you’d multiply 2 and 3 before pairing with 415:
2 x 3 = 6
Step 4:
Repeat this process until there are no longer any prime factors larger than one to divide by. At the end, you should have the full list of factor pairs.
Here are all the factor pairs for 2490:
(1, 2490), (2, 1245), (3, 830), (5, 498), (6, 415), (10, 249), (15, 166), (30, 83)
So, to list all the factors of 2490: 1, 2, 3, 5, 6, 10, 15, 30, 83, 166, 249, 415, 498, 830, 1245, 2490
The negative factors of 2490 would be: -1, -2, -3, -5, -6, -10, -15, -30, -83, -166, -249, -415, -498, -830, -1245, -2490
Now you’ve got it! A math tutor would always encourage you to practice with different numbers to reinforce your understanding of factor pairs. Try another one!