Q: What is the total or count of factors of the number 750,624?

 A: 48

How do I find the total factors of the number 750,624?

Step 1

Find the prime factorization of the number 750,624.

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

Factor Tree
750,624
Factor Arrows
2375,312
Factor Arrows
2187,656
Factor Arrows
293,828
Factor Arrows
246,914
Factor Arrows
223,457
Factor Arrows
37,819
Factor Arrows
71,117

The prime factorization in exponential form is: 25 x 31 x 71 x 1,1171

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.

750,624 = 25 x 31 x 71 x 1,1171
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)
Down Arrow
d(750624) = (5 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(750624) = (6)(2)(2)(2)
Down Arrow
d(750624) = 48

More numbers for you to try

Take a look at the factors page to see the factors of 750,624 and how to find them.

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