Q: What are the prime factors of the number 4,235,556?

 A: 2, 3, 13, 19, 1429

Why are those the prime factors of the number 4,235,556?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 4,235,556

4,235,556
Factor Arrows
22,117,778
Factor Arrows
21,058,889
Factor Arrows
3352,963
Factor Arrows
1327,151
Factor Arrows
191,429

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 3, 13, 19, 1429

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 13 x 19 x 1,429 = 4,235,556

This can also be written as 22 x 31 x 131 x 191 x 1,4291 = 4,235,556

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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