Q: What is the total or count of factors of the number 4,457,835?

 A: 28

How do I find the total factors of the number 4,457,835?

Step 1

Find the prime factorization of the number 4,457,835.

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

Factor Tree
4,457,835
Factor Arrows
31,485,945
Factor Arrows
3495,315
Factor Arrows
3165,105
Factor Arrows
355,035
Factor Arrows
318,345
Factor Arrows
36,115
Factor Arrows
51,223

The prime factorization in exponential form is: 36 x 51 x 1,2231

Step 2

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

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

4,457,835 = 36 x 51 x 1,2231
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(4457835) = (6 + 1)(1 + 1)(1 + 1)
Down Arrow
d(4457835) = (7)(2)(2)
Down Arrow
d(4457835) = 28

More numbers for you to try

Take a look at the factors page to see the factors of 4,457,835 and how to find them.

Try the factor calculator.

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