Q: What are the prime factors of the number 103,031,232?

 A: 2, 3, 536621

Why are those the prime factors of the number 103,031,232?

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 103,031,232

103,031,232
Factor Arrows
251,515,616
Factor Arrows
225,757,808
Factor Arrows
212,878,904
Factor Arrows
26,439,452
Factor Arrows
23,219,726
Factor Arrows
21,609,863
Factor Arrows
3536,621

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, 536621

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 3 x 536,621 = 103,031,232

This can also be written as 26 x 31 x 536,6211 = 103,031,232

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


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