Q: What is the total or count of factors of the number 425,003,456?

 A: 14

How do I find the total factors of the number 425,003,456?

Step 1

Find the prime factorization of the number 425,003,456.

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

Factor Tree
425,003,456
Factor Arrows
2212,501,728
Factor Arrows
2106,250,864
Factor Arrows
253,125,432
Factor Arrows
226,562,716
Factor Arrows
213,281,358
Factor Arrows
26,640,679

The prime factorization in exponential form is: 26 x 6,640,6791

Step 2

Setup the equation for determining the number of factors or divisors. The equation is:

d(n) = (a + 1)(b + 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.

425,003,456 = 26 x 6,640,6791
Down Arrow
d(n) = (a + 1)(b + 1)
Down Arrow
d(425003456) = (6 + 1)(1 + 1)
Down Arrow
d(425003456) = (7)(2)
Down Arrow
d(425003456) = 14

More numbers for you to try

Take a look at the factors page to see the factors of 425,003,456 and how to find them.

Try the factor calculator.

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