Q: What is the total or count of factors of the number 9,130,000?

 A: 100

How do I find the total factors of the number 9,130,000?

Step 1

Find the prime factorization of the number 9,130,000.

Use a factor tree to assist with solving. Take a look at our prime factorization page for additional help.

Factor Tree
9,130,000
Factor Arrows
24,565,000
Factor Arrows
22,282,500
Factor Arrows
21,141,250
Factor Arrows
2570,625
Factor Arrows
5114,125
Factor Arrows
522,825
Factor Arrows
54,565
Factor Arrows
5913
Factor Arrows
1183

The prime factorization in exponential form is: 24 x 54 x 111 x 831

Step 2

Setup the equation for determining the number of factors or divisors. The equation is:

d(n) = (a + 1)(b + 1)(c + 1)(d + 1)

Where d(n) is equal to the number of divisors of the number and a, b, etc. are equal to the exponents of the prime factorization.

Now substitute the letters in the equation with the the exponents of your prime factorization and then solve to calculate the total number of divisors.

9,130,000 = 24 x 54 x 111 x 831
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(9130000) = (4 + 1)(4 + 1)(1 + 1)(1 + 1)
Down Arrow
d(9130000) = (5)(5)(2)(2)
Down Arrow
d(9130000) = 100

More numbers for you to try

Take a look at the factors page to see the factors of 9,130,000 and how to find them.

Try the factor calculator.

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