Q: What are the prime factors of the number 60,004,470?

 A: 2, 3, 5, 19, 23, 199

Why are those the prime factors of the number 60,004,470?

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 60,004,470

60,004,470
Factor Arrows
230,002,235
Factor Arrows
310,000,745
Factor Arrows
52,000,149
Factor Arrows
19105,271
Factor Arrows
234,577
Factor Arrows
23199

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, 5, 19, 23, 199

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 19 x 23 x 23 x 199 = 60,004,470

This can also be written as 21 x 31 x 51 x 191 x 232 x 1991 = 60,004,470

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


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