Q: What is the total or count of factors of the number 1,025,536?

 A: 20

How do I find the total factors of the number 1,025,536?

Step 1

Find the prime factorization of the number 1,025,536.

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

Factor Tree
1,025,536
Factor Arrows
2512,768
Factor Arrows
2256,384
Factor Arrows
2128,192
Factor Arrows
264,096
Factor Arrows
232,048
Factor Arrows
216,024
Factor Arrows
28,012
Factor Arrows
24,006
Factor Arrows
22,003

The prime factorization in exponential form is: 29 x 2,0031

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.

1,025,536 = 29 x 2,0031
Down Arrow
d(n) = (a + 1)(b + 1)
Down Arrow
d(1025536) = (9 + 1)(1 + 1)
Down Arrow
d(1025536) = (10)(2)
Down Arrow
d(1025536) = 20

More numbers for you to try

Take a look at the factors page to see the factors of 1,025,536 and how to find them.

Try the factor calculator.

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