Q: What is the total or count of factors of the number 425,013,048?

 A: 64

How do I find the total factors of the number 425,013,048?

Step 1

Find the prime factorization of the number 425,013,048.

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

Factor Tree
425,013,048
Factor Arrows
2212,506,524
Factor Arrows
2106,253,262
Factor Arrows
253,126,631
Factor Arrows
317,708,877
Factor Arrows
35,902,959
Factor Arrows
31,967,653
Factor Arrows
7924,907

The prime factorization in exponential form is: 23 x 33 x 791 x 24,9071

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.

425,013,048 = 23 x 33 x 791 x 24,9071
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(425013048) = (3 + 1)(3 + 1)(1 + 1)(1 + 1)
Down Arrow
d(425013048) = (4)(4)(2)(2)
Down Arrow
d(425013048) = 64

More numbers for you to try

Take a look at the factors page to see the factors of 425,013,048 and how to find them.

Try the factor calculator.

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