what equals 6,300 in multiply
9x700
9 * 700 = 7 * 900 = 70 * 90 = .7 * 9,000 = .9 * 7,000 = 6,300
To determine what equals 6,300 in multiplication, we need to find two numbers that, when multiplied together, will give a product of 6,300. One way to approach this is by finding the prime factorization of 6,300.
Step 1: Prime Factorization
Start by dividing the number by the smallest prime number, which is 2. Repeat dividing by 2 as long as the number is divisible by 2.
6,300 ÷ 2 = 3,150
Now, divide the result by the next smallest prime number, which is 3.
3,150 ÷ 3 = 1,050
Divide the result by 3 again.
1,050 ÷ 3 = 350
Next, divide by 2 again.
350 ÷ 2 = 175
Continue this process until you cannot divide by a prime number anymore. In this case, we can divide by 5.
175 ÷ 5 = 35
The final result cannot be divided by any more prime numbers, so the prime factorization of 6,300 is 2^2 × 3 × 5^2 × 7.
Step 2: Pairs of Factors
To find the pairs of factors that multiply to give 6,300, we can use the prime factorization.
The factors can be represented in pairs:
Pair 1: (2, 2^2 × 3 × 5^2 × 7)
Pair 2: (2 × 3, 2 × 5^2 × 7)
Pair 3: (3, 2^2 × 5^2 × 7)
Pair 4: (2 × 5^2 × 7, 2 × 3)
Step 3: Calculate the Values
Now, we can calculate the values for each pair:
Pair 1: (2, 6300 ÷ 2 = 3150) - This pair does not give a product of 6,300.
Pair 2: (6, 6300 ÷ 6 = 1050) - This pair does not give a product of 6,300.
Pair 3: (3, 6300 ÷ 3 = 2100) - This pair does not give a product of 6,300.
Pair 4: (2100, 6300 ÷ 2100 = 3) - This pair gives a product of 6,300.
Therefore, the numbers that equal 6,300 when multiplied together are 2100 and 3.