Q: What is the total or count of factors of the number 35,444,520?

 A: 128

How do I find the total factors of the number 35,444,520?

Step 1

Find the prime factorization of the number 35,444,520.

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

Factor Tree
35,444,520
Factor Arrows
217,722,260
Factor Arrows
28,861,130
Factor Arrows
24,430,565
Factor Arrows
31,476,855
Factor Arrows
3492,285
Factor Arrows
3164,095
Factor Arrows
532,819
Factor Arrows
37887

The prime factorization in exponential form is: 23 x 33 x 51 x 371 x 8871

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)(e + 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.

35,444,520 = 23 x 33 x 51 x 371 x 8871
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d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(35444520) = (3 + 1)(3 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(35444520) = (4)(4)(2)(2)(2)
Down Arrow
d(35444520) = 128

More numbers for you to try

Take a look at the factors page to see the factors of 35,444,520 and how to find them.

Try the factor calculator.

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