Q: What are the prime factors of the number 38,459,300?

 A: 2, 5, 11, 34963

Why are those the prime factors of the number 38,459,300?

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 38,459,300

38,459,300
Factor Arrows
219,229,650
Factor Arrows
29,614,825
Factor Arrows
51,922,965
Factor Arrows
5384,593
Factor Arrows
1134,963

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, 5, 11, 34963

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 5 x 11 x 34,963 = 38,459,300

This can also be written as 22 x 52 x 111 x 34,9631 = 38,459,300

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


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