Q: What are the prime factors of the number 1,765,696?

 A: 2, 47, 587

Why are those the prime factors of the number 1,765,696?

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 1,765,696

1,765,696
Factor Arrows
2882,848
Factor Arrows
2441,424
Factor Arrows
2220,712
Factor Arrows
2110,356
Factor Arrows
255,178
Factor Arrows
227,589
Factor Arrows
47587

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, 47, 587

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 47 x 587 = 1,765,696

This can also be written as 26 x 471 x 5871 = 1,765,696

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


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