Q: What are the prime factors of the number 1,875,776?

 A: 2, 7, 53, 79

Why are those the prime factors of the number 1,875,776?

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 1,875,776

1,875,776
Factor Arrows
2937,888
Factor Arrows
2468,944
Factor Arrows
2234,472
Factor Arrows
2117,236
Factor Arrows
258,618
Factor Arrows
229,309
Factor Arrows
74,187
Factor Arrows
5379

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, 7, 53, 79

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 7 x 53 x 79 = 1,875,776

This can also be written as 26 x 71 x 531 x 791 = 1,875,776

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


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