To find the factor pairs of 176, you first need to break it into its prime factors. It is clearly even so we can divide by 2, to get 88. This is known from the times tables to be 8x11. Thus the prime factors of 176 are 2, 2, 2, 2 and 11. To find factor pairs you simply multiply some of these numbers together, and then multiply the rest together as the second number. For example we have: 2 and 2x2x2x11 (88) 2x2 (4) and 2x2x11 (44) 2x2x2 (8) and 11 There is also 1 and 176.
There are 3 ways to faster multiplication. Way I:Multiplying a 2-digit number by a 2-digit number.EX: 23X56=...First, you multiply the first numbers on the right( 3X6=18, carry the 1). Then you write down the 8.Then you cross multiply and add the answers, and the carried 1( 6X2=12, 3X5= 15. 15+12+1=28). Write down the 8, carry the 2. Then multiply the left numbers and add the carried 2( 2X5=10. 10+2=12). Write down the 12. The answer to 23X56 is 1,288. Way II: Multiplying a 2-digit number by a 3-digit number. EX: 234X56=... Multiply the right numbers first( 4X6=24). Write the 4, carry the 2. Then cross multiply with the four right numbers and add the answers, plus the carried numbe( 3X6=18, 4X5=20. 18+20+2=40). Write the 0 and carry the 4. Here's the extra part: Multiply the bottom-right number by the top-left number, and the middle two numbers. Add the answers, plus the 4 you carried( 2X6=12, 3X5=15. 12+15+4=31). Write down the 1 and carry the 3. Now multiply the top-left number by the bottom-left number and add the 3(2X5=10, 10+3=13). Write the 13. The answer to 234X56 is 13,104. Way III: Multiplying a 3-digit number by a 3-digit number. EX: 234X567=... First you do what you did in Way I( but with the four right numbers in 234X567), and carry the 2. Now you multiply the top-left number byt the bottom-right number(keep the product). Do the same with the top-right number and the bottom-left number(keep the product). Then the same with the middle numbers(keep the product). Now you add all the numbers you got( 2X7=14, 5X4=20, 3X6=18. 14+18+20+2=54). Write the 4, but carry the 5. Now you do the same thing you did in Way I with the 23 and 56, but make sure you add the 5 after you multiply 6X3. If you do this correctly, then you should get an answer of: 234X567=132,678 There are three more ways, but I will post it in a different article. I am a person who wants to show the world my discoveries. Like: n/0 = n(S)=A(1)/1(S)=A(1).<------ Alero formula. It says that: number times something equals anything times one divided by one times something equals anything times one. That was random, but OK because I am random. P.S. Your math teacher(regular or sub.) might not approve of the faster multiplication shortcut. I suggest you only do it at home. Bye now. Article by: FudgeSwordPerson
To find the factor pairs of 176, you first need to break it into its prime factors. It is clearly even so we can divide by 2, to get 88. This is known from the times tables to be 8x11. Thus the prime factors of 176 are 2, 2, 2, 2 and 11. To find factor pairs you simply multiply some of these numbers together, and then multiply the rest together as the second number. For example we have: 2 and 2x2x2x11 (88) 2x2 (4) and 2x2x11 (44) 2x2x2 (8) and 11 There is also 1 and 176.
There are 3 ways to faster multiplication. Way I:Multiplying a 2-digit number by a 2-digit number.EX: 23X56=...First, you multiply the first numbers on the right( 3X6=18, carry the 1). Then you write down the 8.Then you cross multiply and add the answers, and the carried 1( 6X2=12, 3X5= 15. 15+12+1=28). Write down the 8, carry the 2. Then multiply the left numbers and add the carried 2( 2X5=10. 10+2=12). Write down the 12. The answer to 23X56 is 1,288. Way II: Multiplying a 2-digit number by a 3-digit number. EX: 234X56=... Multiply the right numbers first( 4X6=24). Write the 4, carry the 2. Then cross multiply with the four right numbers and add the answers, plus the carried numbe( 3X6=18, 4X5=20. 18+20+2=40). Write the 0 and carry the 4. Here's the extra part: Multiply the bottom-right number by the top-left number, and the middle two numbers. Add the answers, plus the 4 you carried( 2X6=12, 3X5=15. 12+15+4=31). Write down the 1 and carry the 3. Now multiply the top-left number by the bottom-left number and add the 3(2X5=10, 10+3=13). Write the 13. The answer to 234X56 is 13,104. Way III: Multiplying a 3-digit number by a 3-digit number. EX: 234X567=... First you do what you did in Way I( but with the four right numbers in 234X567), and carry the 2. Now you multiply the top-left number byt the bottom-right number(keep the product). Do the same with the top-right number and the bottom-left number(keep the product). Then the same with the middle numbers(keep the product). Now you add all the numbers you got( 2X7=14, 5X4=20, 3X6=18. 14+18+20+2=54). Write the 4, but carry the 5. Now you do the same thing you did in Way I with the 23 and 56, but make sure you add the 5 after you multiply 6X3. If you do this correctly, then you should get an answer of: 234X567=132,678 There are three more ways, but I will post it in a different article. I am a person who wants to show the world my discoveries. Like: n/0 = n(S)=A(1)/1(S)=A(1).<------ Alero formula. It says that: number times something equals anything times one divided by one times something equals anything times one. That was random, but OK because I am random. P.S. Your math teacher(regular or sub.) might not approve of the faster multiplication shortcut. I suggest you only do it at home. Bye now. Article by: FudgeSwordPerson