Q: What is the total or count of factors of the number 841,752?

 A: 48

How do I find the total factors of the number 841,752?

Step 1

Find the prime factorization of the number 841,752.

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

Factor Tree
841,752
Factor Arrows
2420,876
Factor Arrows
2210,438
Factor Arrows
2105,219
Factor Arrows
335,073
Factor Arrows
311,691
Factor Arrows
33,897
Factor Arrows
31,299
Factor Arrows
3433

The prime factorization in exponential form is: 23 x 35 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)

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.

841,752 = 23 x 35 x 4331
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)
Down Arrow
d(841752) = (3 + 1)(5 + 1)(1 + 1)
Down Arrow
d(841752) = (4)(6)(2)
Down Arrow
d(841752) = 48

More numbers for you to try

Take a look at the factors page to see the factors of 841,752 and how to find them.

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