Q: What are the prime factors of the number 1,907,872?

 A: 2, 59621

Why are those the prime factors of the number 1,907,872?

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 1,907,872

1,907,872
Factor Arrows
2953,936
Factor Arrows
2476,968
Factor Arrows
2238,484
Factor Arrows
2119,242
Factor Arrows
259,621

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, 59621

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 59,621 = 1,907,872

This can also be written as 25 x 59,6211 = 1,907,872

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


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