Once you have all the factors, it should be easy enough to list them in pairs. There are a few ways to go about factoring. You can decide what works best for you. I always find the prime factorization first. Let's look at a random number: 108
The prime factorization can be found by using a factor tree.
108
54,2
27,2,2
9,3,2,2
3,3,3,2,2
2^2 x 3^3 = 108
Half of the factors will be less than the square root, half greater. If the number is a perfect square, there will be an equal number of factors on either side of the square root. In this case, the square root is between 10 and 11.
Adding one to the exponents of the prime factorization and multiplying them will tell you how many factors there are. In this case, the exponents are 2 and 3. Add one to each. 3 x 4 = 12
108 has 12 factors. Six of them are 10 or less, six of them are 11 or greater. All we have to do is divide the numbers one through ten into 108. If the result (quotient) turns out to be an integer, you've found a factor pair. Knowing the rules of divisibility will make that even easier.
108 is divisible by...
1 because everything is.
2 because it's even.
3 because its digits add up to a multiple of 3.
4 because its last two digits are a multiple of 4.
6 because it's a multiple of 2 and 3.
9 because its digits add up to a multiple of 9.
That's six factors less than 10. Divide them into 108. That's the rest of them.
(108,1)(54,2)(36,3)(27,4)(18,6)(12,9)
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Notice that all of those numbers, except for 1, can also be found in the prime factorization.
Factor pairs refer to integers, not decimals.
The factor pairs of 57 are 3x19 and 1x57
The factor pairs of 343 are (343,1) and (49,7)
20 has 3 factor pairs. Pairs are (1,20), (2,10) and (9,9)
The factor pairs of 12 are (12,1), (6,2), and (4,3) The factor pairs of 18 are (18,1), (9,2), and (6,3)
My preferred strategy is factorisation and Venn diagrams.
first step in what!
Yes. Factor pairs are always repeated across pairs since factor pairs are certain kinds of pairs.
the factor pairs are 1x35 & 5x7
The factor pairs of 28 are :28,114,27,4
Sixteen factor pairs.
Factor pairs refer to integers, not decimals.
The factor pairs of 57 are 3x19 and 1x57
The factor pairs of 27 are 1x27 and 3x9.
Mathematicians call them "factor pairs."
its a factor with two pairs of the same number
There are 10 factor pairs for 5,000:5000,12500,21250,41000,5625,8500,10250,20200,25125,40100,50