Q: What is the total or count of factors of the number 1,912,128?

 A: 56

How do I find the total factors of the number 1,912,128?

Step 1

Find the prime factorization of the number 1,912,128.

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

Factor Tree
1,912,128
Factor Arrows
2956,064
Factor Arrows
2478,032
Factor Arrows
2239,016
Factor Arrows
2119,508
Factor Arrows
259,754
Factor Arrows
229,877
Factor Arrows
39,959
Factor Arrows
23433

The prime factorization in exponential form is: 26 x 31 x 231 x 4331

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.

1,912,128 = 26 x 31 x 231 x 4331
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(1912128) = (6 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(1912128) = (7)(2)(2)(2)
Down Arrow
d(1912128) = 56

More numbers for you to try

Take a look at the factors page to see the factors of 1,912,128 and how to find them.

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