Q: What are the prime factors of the number 103,416,636?

 A: 2, 3, 1931, 4463

Why are those the prime factors of the number 103,416,636?

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 103,416,636

103,416,636
Factor Arrows
251,708,318
Factor Arrows
225,854,159
Factor Arrows
38,618,053
Factor Arrows
1,9314,463

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, 1931, 4463

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 1,931 x 4,463 = 103,416,636

This can also be written as 22 x 31 x 1,9311 x 4,4631 = 103,416,636

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


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