Q: What are the prime factors of the number 1,441,776?

 A: 2, 3, 7, 613

Why are those the prime factors of the number 1,441,776?

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 1,441,776

1,441,776
Factor Arrows
2720,888
Factor Arrows
2360,444
Factor Arrows
2180,222
Factor Arrows
290,111
Factor Arrows
330,037
Factor Arrows
74,291
Factor Arrows
7613

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, 7, 613

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 7 x 7 x 613 = 1,441,776

This can also be written as 24 x 31 x 72 x 6131 = 1,441,776

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


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