0

# What two digit number has two one digit factors that have the sum of 16 and the difference of 2?

Updated: 9/20/2023

Wiki User

12y ago

63.

Let the smaller factor be n-1.

Then with a difference of 2, the larger factor is (n-1) + 2 = n+1

The sum of these is:

(n-1) + (n+1) = 2n = 16 ⇒ n=8

Thus the factors are

• 8-1 = 7
• 8+1 = 9

and the number is 7x9 = 63.

(The complete list of factor pars for 63 is: 1 & 63, 3 & 21, 7 & 9.)

Alternatively, if you don't want the simultaneous equations "hidden":

Let the two factors be x & y (so that the number is xy) with x bigger than y. Then

1. x + y = 16
2. x - y = 2

2x = 18

⇒ x = 9

and substituting in equation 1 gives:

9 + y = 16

⇒ y = 7

and substituting in equation 2 to check:

9 - 7 = 2 as required.

So the factors are 7 & 9 and so the number is xy = 7x9 = 63.

Wiki User

12y ago

Earn +20 pts
Q: What two digit number has two one digit factors that have the sum of 16 and the difference of 2?
Submit
Still have questions?
Related questions

### What two-digit number has two one-digit factors that have a sum of 16 and a difference of 2?

63? But it has more than two one-digit factors.

63

63.

### What is the largest one digit number that has 3 factors?

The largest one digit number that has three factors is 9. Its factors are 1, 3, and 9.

### What is a one digit number that has the same number of factors of the number six?

The one digit number that has the same number of factors as the number six is three. Six's factors are 1, 2, 3, and 6 while three's factors are 1 and 3. Therefore, both numbers have the same number of factors.

1620 is one.

### What are facts about each digit of 22?

Each digit is a prime number that has only two factors which are itself and one The prime factors of the number 22 are 2 and 11

### What 10 digit number has the factors 11 and 23?

2530000000 is one such number.

### What is the smallest one digit number that has 3 factors?

4 : with factors 1, 2 and 4

### What one digit number has three factors?

9 has three factors: 1, 3, and 9

### What 4 digit number has 3 and 11 as factors?

There are many 4 digit numbers having 3 and 11 as factors. One of them is 1089 whose factors are 3,3,11,11.

### Is there a number that only contains the single digit numbers as factors?

Sure. Any 1-digit number contains only one-digit numbers as factors. Any larger number, on the other hand, contains itself as a factor, so these can be excluded.