Q: What are the prime factors of the number 10,263,750?

 A: 2, 3, 5, 7, 17, 23

Why are those the prime factors of the number 10,263,750?

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 10,263,750

10,263,750
Factor Arrows
25,131,875
Factor Arrows
31,710,625
Factor Arrows
5342,125
Factor Arrows
568,425
Factor Arrows
513,685
Factor Arrows
52,737
Factor Arrows
7391
Factor Arrows
1723

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, 5, 7, 17, 23

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 5 x 5 x 5 x 7 x 17 x 23 = 10,263,750

This can also be written as 21 x 31 x 54 x 71 x 171 x 231 = 10,263,750

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


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