Q: What are the prime factors of the number 25,500,416?

 A: 2, 99611

Why are those the prime factors of the number 25,500,416?

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 25,500,416

25,500,416
Factor Arrows
212,750,208
Factor Arrows
26,375,104
Factor Arrows
23,187,552
Factor Arrows
21,593,776
Factor Arrows
2796,888
Factor Arrows
2398,444
Factor Arrows
2199,222
Factor Arrows
299,611

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, 99611

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 99,611 = 25,500,416

This can also be written as 28 x 99,6111 = 25,500,416

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


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