Q: What are the prime factors of the number 106,421,104?

 A: 2, 6651319

Why are those the prime factors of the number 106,421,104?

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 106,421,104

106,421,104
Factor Arrows
253,210,552
Factor Arrows
226,605,276
Factor Arrows
213,302,638
Factor Arrows
26,651,319

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, 6651319

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 6,651,319 = 106,421,104

This can also be written as 24 x 6,651,3191 = 106,421,104

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


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