Q: What are the prime factors of the number 1,875,392?

 A: 2, 29303

Why are those the prime factors of the number 1,875,392?

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 1,875,392

1,875,392
Factor Arrows
2937,696
Factor Arrows
2468,848
Factor Arrows
2234,424
Factor Arrows
2117,212
Factor Arrows
258,606
Factor Arrows
229,303

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, 29303

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 29,303 = 1,875,392

This can also be written as 26 x 29,3031 = 1,875,392

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


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