Q: What is the total or count of factors of the number 1,755,270?

 A: 80

How do I find the total factors of the number 1,755,270?

Step 1

Find the prime factorization of the number 1,755,270.

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

Factor Tree
1,755,270
Factor Arrows
2877,635
Factor Arrows
3292,545
Factor Arrows
397,515
Factor Arrows
332,505
Factor Arrows
310,835
Factor Arrows
52,167
Factor Arrows
11197

The prime factorization in exponential form is: 21 x 34 x 51 x 111 x 1971

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.

1,755,270 = 21 x 34 x 51 x 111 x 1971
Down Arrow
d(n) = (a + 1)(b + 1)(c + 1)(d + 1)(e + 1)
Down Arrow
d(1755270) = (1 + 1)(4 + 1)(1 + 1)(1 + 1)(1 + 1)
Down Arrow
d(1755270) = (2)(5)(2)(2)(2)
Down Arrow
d(1755270) = 80

More numbers for you to try

Take a look at the factors page to see the factors of 1,755,270 and how to find them.

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