Q: What are the prime factors of the number 103,439,150?

 A: 2, 5, 101, 20483

Why are those the prime factors of the number 103,439,150?

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 103,439,150

103,439,150
Factor Arrows
251,719,575
Factor Arrows
510,343,915
Factor Arrows
52,068,783
Factor Arrows
10120,483

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, 101, 20483

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 101 x 20,483 = 103,439,150

This can also be written as 21 x 52 x 1011 x 20,4831 = 103,439,150

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


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