Q: What are the prime factors of the number 841,460?

 A: 2, 5, 42073

Why are those the prime factors of the number 841,460?

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 841,460

841,460
Factor Arrows
2420,730
Factor Arrows
2210,365
Factor Arrows
542,073

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, 5, 42073

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 42,073 = 841,460

This can also be written as 22 x 51 x 42,0731 = 841,460

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


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