Q: What are the prime factors of the number 1,625,400?

 A: 2, 3, 5, 7, 43

Why are those the prime factors of the number 1,625,400?

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 1,625,400

1,625,400
Factor Arrows
2812,700
Factor Arrows
2406,350
Factor Arrows
2203,175
Factor Arrows
367,725
Factor Arrows
322,575
Factor Arrows
37,525
Factor Arrows
51,505
Factor Arrows
5301
Factor Arrows
743

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, 43

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 x 7 x 43 = 1,625,400

This can also be written as 23 x 33 x 52 x 71 x 431 = 1,625,400

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


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