Q: What are the prime factors of the number 1,870,464?

 A: 2, 3, 4871

Why are those the prime factors of the number 1,870,464?

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 1,870,464

1,870,464
Factor Arrows
2935,232
Factor Arrows
2467,616
Factor Arrows
2233,808
Factor Arrows
2116,904
Factor Arrows
258,452
Factor Arrows
229,226
Factor Arrows
214,613
Factor Arrows
34,871

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, 4871

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 2 x 3 x 4,871 = 1,870,464

This can also be written as 27 x 31 x 4,8711 = 1,870,464

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


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