Q: What are the prime factors of the number 1,894,032?

 A: 2, 3, 7, 1879

Why are those the prime factors of the number 1,894,032?

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 1,894,032

1,894,032
Factor Arrows
2947,016
Factor Arrows
2473,508
Factor Arrows
2236,754
Factor Arrows
2118,377
Factor Arrows
339,459
Factor Arrows
313,153
Factor Arrows
71,879

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, 7, 1879

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 7 x 1,879 = 1,894,032

This can also be written as 24 x 32 x 71 x 1,8791 = 1,894,032

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


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