(63,1)(21,3)(9,7)
They're looking for factor pairs. (28,1)(14,2)(7,4)
If you know the prime factorization of a number, you can find out the total number of factors. Example: 210 2^1 x 3^1 x 5^1 x 7^1 = 210 Add one to the exponents and multiply them. 2 x 2 x 2 x 2 = 16, the total number of factors.
From the rules of divisibility, we know that 40 is divisible by 1, 2, 4 and 5. Divide those numbers into 40 to get the rest. (40,1)(20,2)(10,4)(8,5)
The long but fool-proof way is to find the complete prime factorisation of the number. Then group all the factors into pairs, rejecting any that cannot be paired. The product of the numbers that are left is the largest square factor.
Divide by two. (32,1)(16,2)(8,4)
21,1 and 7,3
(63,1)(21,3)(9,7)
1,18 2,9 3,6
They're looking for factor pairs. (28,1)(14,2)(7,4)
All numbers have factors. It is possible to list them as pairs. The factors of 12 are 1, 2, 3, 4, 6 and 12. The factor pairs of 12 are (12,1)(6,2)(4,3)
The factors of all numbers can be written in pairs. With square numbers, one of those pairs is the same number twice. When listed singly, square numbers have an odd number of factors. All others are even.
The factor pairs of 950 are: 950,1 / 475,2 / 190,5 / 95,10 / 50,19 / 38,25
If you know the prime factorization of a number, you can find out the total number of factors. Example: 210 2^1 x 3^1 x 5^1 x 7^1 = 210 Add one to the exponents and multiply them. 2 x 2 x 2 x 2 = 16, the total number of factors.
1,49: 7,7
(54,1)(27,2)(18,3)(9,6)
Divide by three and five. 1, 3, 5, 15, 25, 75