Q: What are the prime factors of the number 4,476,058?

 A: 2, 19, 61, 1931

Why are those the prime factors of the number 4,476,058?

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 4,476,058

4,476,058
Factor Arrows
22,238,029
Factor Arrows
19117,791
Factor Arrows
611,931

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, 19, 61, 1931

We can check our work by multiplying all of the prime factors together: 2 x 19 x 61 x 1,931 = 4,476,058

This can also be written as 21 x 191 x 611 x 1,9311 = 4,476,058

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


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