Q: What are the prime factors of the number 1,076,896?

 A: 2, 73, 461

Why are those the prime factors of the number 1,076,896?

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 1,076,896

1,076,896
Factor Arrows
2538,448
Factor Arrows
2269,224
Factor Arrows
2134,612
Factor Arrows
267,306
Factor Arrows
233,653
Factor Arrows
73461

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, 73, 461

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 73 x 461 = 1,076,896

This can also be written as 25 x 731 x 4611 = 1,076,896

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


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