Q: What are the prime factors of the number 24,363,392?

 A: 2, 190339

Why are those the prime factors of the number 24,363,392?

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 24,363,392

24,363,392
Factor Arrows
212,181,696
Factor Arrows
26,090,848
Factor Arrows
23,045,424
Factor Arrows
21,522,712
Factor Arrows
2761,356
Factor Arrows
2380,678
Factor Arrows
2190,339

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, 190339

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 190,339 = 24,363,392

This can also be written as 27 x 190,3391 = 24,363,392

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


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