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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: 3150
The prime factorization can be found by using a factor tree.
3150
1575,2
525,3,2
175,3,3,2
35,5,3,3,2
7,5,5,3,3,2
2 x 3^2 x 5^2 x 7 = 3150
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 56 and 57.
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 1, 2, 2 and 1. Add one to each. 2 x 3 x 3 x 2 = 36
3150 has 36 factors.18 of them are 56 or less, 18 of them are 57 or greater. All we have to do is divide the numbers 1 through 56 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.
3150 is divisible by...
1 because everything is.
2 because it's even.
3 because its digits add up to a multiple of 3.
5 because it ends in zero.
6 because it's a multiple of 2 and 3.
7 because it's in the prime factorization.
9 because its digits add up to a multiple of 9.
10 because it ends in zero.
That's eight. We need ten more. They can be found in the prime factorization.
2 x 7 = 14
3 x 5 = 15
3^2 x 2 = 18
3 x 7 = 21
5^2 = 25
2 x 3 x 5 = 30
5 x 7 = 35
2 x 3 x 7 = 42
3^2 x 5 = 45
2 x 5^2 = 50
That's 18 factors less than 56. Divide them into 3150. That's the rest of them.
(3150, 1) (1575, 2) (1050, 3) (630, 5) (525, 6) (450, 7) (350, 9) (315, 10) (225, 14) (210, 15) (175, 18) (150, 21) (126, 25) (105, 30) (90, 35) (75, 42) (70, 45) (63, 50)
1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 25, 30, 35, 42, 45, 50, 63, 70, 75, 90, 105, 126, 150, 175, 210, 225, 315, 350, 450, 525, 630, 1050, 1575, 3150
Notice that all of those numbers, except for 1, can also be found in the prime factorization.
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Factor 3150 into a product of prime numbers?
As a product of its prime factors: 2*3*3*5*5*7 = 3150 or as 2*32*52*7 = 3150
What fraction of 3600 is 3150?
It is: 3150/3600 = 7/8 in its lowest terms
What is 3150 to the nearest whole number?
It is already expressed as a whole number in the form of 3150
What are all the pairs of numbers that have a HCF of 30 and LCM of 3150?
(30, 3150), (90,1050), (150, 630) and (210, 450).
What is the lowest possible value when rounded of 3200?
3150
Factor 3150 into a product of prime numbers?
As a product of its prime factors: 2*3*3*5*5*7 = 3150 or as 2*32*52*7 = 3150
What is the common factor of 3150 and 315?
Since 315 is a factor of 3150, all of its factors are common.
What do 3 5 7 and 9 have in common?
They are all integers. They are all factors of 3150.
What is the greatest common factor of 3150 and 315?
Since 315 is a factor of 3150, it is automatically the GCF.
How do you put 3150 to a percent?
3150 to a percent = 315000% to put 3150 to a percent, multiply 3150 by 100%: Example: 3150 * 100% = 315000%
What multiplys into 3150?
1, 2, 3, 5, 6, 7, 9, 10 5 x 630 = 3150 10 x 315 = 3150 6 x 525 = 3150 2 x 1575= 3150 1 x 3150 = 3150 7 x 450 = 3150 9 x 350 = 3150 3 x 1050 = 3150
What is of 15 percent 3150?
15% of 3,150 = 15% * 3150 = 0.15 * 3150 = 472.5
What is the perfect square factors of 3150?
9, 25 and 225.
What is 3151 rounded to the nearest ten?
3150
What are the factors of 3150 and 315?
The factors of 315 are: 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315 The factors of 3150 are: 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 25, 30, 35, 42, 45, 50, 63, 70, 75, 90, 105, 126, 150, 175, 210, 225, 315, 350, 450, 525, 630, 1050, 1575, 3150
How many feet in 3150 meters?
Answer: 3150 m = 10334.645 '
How many meters are there in 3.15 km?
3150 We know that 1 kilometer = 1000 meters. We need to find the number of meters are there in 3.15 kilometers. 1 kilometer = 1000 meters. 3.15 kilometer = 3.15*1000 meters. = 3150 meters. 3150 meters are there in 3.15 kilometers.
