Q: What is the total or count of factors of the number 3,553,152?

 A: 64

How do I find the total factors of the number 3,553,152?

Step 1

Find the prime factorization of the number 3,553,152.

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

Factor Tree
3,553,152
Factor Arrows
21,776,576
Factor Arrows
2888,288
Factor Arrows
2444,144
Factor Arrows
2222,072
Factor Arrows
2111,036
Factor Arrows
255,518
Factor Arrows
227,759
Factor Arrows
39,253
Factor Arrows
19487

The prime factorization in exponential form is: 27 x 31 x 191 x 4871

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.

3,553,152 = 27 x 31 x 191 x 4871
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(3553152) = (7 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(3553152) = (8)(2)(2)(2)
Down Arrow
d(3553152) = 64

More numbers for you to try

Take a look at the factors page to see the factors of 3,553,152 and how to find them.

Try the factor calculator.

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