Q: What are the prime factors of the number 103,243,104?

 A: 2, 3, 358483

Why are those the prime factors of the number 103,243,104?

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 103,243,104

103,243,104
Factor Arrows
251,621,552
Factor Arrows
225,810,776
Factor Arrows
212,905,388
Factor Arrows
26,452,694
Factor Arrows
23,226,347
Factor Arrows
31,075,449
Factor Arrows
3358,483

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, 3, 358483

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 3 x 358,483 = 103,243,104

This can also be written as 25 x 32 x 358,4831 = 103,243,104

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


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