Q: What are the prime factors of the number 105,623,120?

 A: 2, 5, 149, 8861

Why are those the prime factors of the number 105,623,120?

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 105,623,120

105,623,120
Factor Arrows
252,811,560
Factor Arrows
226,405,780
Factor Arrows
213,202,890
Factor Arrows
26,601,445
Factor Arrows
51,320,289
Factor Arrows
1498,861

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, 149, 8861

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 149 x 8,861 = 105,623,120

This can also be written as 24 x 51 x 1491 x 8,8611 = 105,623,120

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


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