Q: What is the total or count of factors of the number 1,163,862?

 A: 32

How do I find the total factors of the number 1,163,862?

Step 1

Find the prime factorization of the number 1,163,862.

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

Factor Tree
1,163,862
Factor Arrows
2581,931
Factor Arrows
3193,977
Factor Arrows
364,659
Factor Arrows
321,553
Factor Arrows
73,079

The prime factorization in exponential form is: 21 x 33 x 71 x 3,0791

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.

1,163,862 = 21 x 33 x 71 x 3,0791
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(1163862) = (1 + 1)(3 + 1)(1 + 1)(1 + 1)
Down Arrow
d(1163862) = (2)(4)(2)(2)
Down Arrow
d(1163862) = 32

More numbers for you to try

Take a look at the factors page to see the factors of 1,163,862 and how to find them.

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